---
_id: '40838'
abstract:
- lang: eng
  text: A multiple-input multiple-output (MIMO) frequency-domain channel measurement
    methodology is pre- sented. This methodology can be implemented in any transmit/receive
    hardware consisting of radio frequency modules and baseband digital processing
    units. It involves the transmission and reception of frequency and phase-optimized
    complex exponentials through antenna arrays, followed by an offline frequency
    estimation, which makes additional synchronization circuitry unnecesary. To test
    the feasibility of this method, a series of measurements is presented, employing
    a $4 \times 4$ dual-band (2.4/5 GHz) MIMO test bed.
author:
- first_name: J.
  full_name: Gutiérrez, J.
  last_name: Gutiérrez
- first_name: J.
  full_name: Pérez, J.
  last_name: Pérez
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: L.
  full_name: Vielva, L.
  last_name: Vielva
- first_name: J.
  full_name: Ibáñez, J.
  last_name: Ibáñez
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
citation:
  ama: Gutiérrez J, Pérez J, Ramírez D, Vielva L, Ibáñez J, Santamaría I. Frequency-Domain
    Methodology for Measuring MIMO Channels Using a Generic Test Bed. <i>IEEE Trans
    Instrum Meas</i>. 2011;60(3):827–838. doi:<a href="https://doi.org/10.1109/TIM.2010.2082432">10.1109/TIM.2010.2082432</a>
  apa: Gutiérrez, J., Pérez, J., Ramírez, D., Vielva, L., Ibáñez, J., &#38; Santamaría,
    I. (2011). Frequency-Domain Methodology for Measuring MIMO Channels Using a Generic
    Test Bed. <i>IEEE Trans. Instrum. Meas.</i>, <i>60</i>(3), 827–838. <a href="https://doi.org/10.1109/TIM.2010.2082432">https://doi.org/10.1109/TIM.2010.2082432</a>
  bibtex: '@article{Gutiérrez_Pérez_Ramírez_Vielva_Ibáñez_Santamaría_2011, title={Frequency-Domain
    Methodology for Measuring MIMO Channels Using a Generic Test Bed}, volume={60},
    DOI={<a href="https://doi.org/10.1109/TIM.2010.2082432">10.1109/TIM.2010.2082432</a>},
    number={3}, journal={IEEE Trans. Instrum. Meas.}, author={Gutiérrez, J. and Pérez,
    J. and Ramírez, D. and Vielva, L. and Ibáñez, J. and Santamaría, I.}, year={2011},
    pages={827–838} }'
  chicago: 'Gutiérrez, J., J. Pérez, D. Ramírez, L. Vielva, J. Ibáñez, and I. Santamaría.
    “Frequency-Domain Methodology for Measuring MIMO Channels Using a Generic Test
    Bed.” <i>IEEE Trans. Instrum. Meas.</i> 60, no. 3 (2011): 827–838. <a href="https://doi.org/10.1109/TIM.2010.2082432">https://doi.org/10.1109/TIM.2010.2082432</a>.'
  ieee: 'J. Gutiérrez, J. Pérez, D. Ramírez, L. Vielva, J. Ibáñez, and I. Santamaría,
    “Frequency-Domain Methodology for Measuring MIMO Channels Using a Generic Test
    Bed,” <i>IEEE Trans. Instrum. Meas.</i>, vol. 60, no. 3, pp. 827–838, 2011, doi:
    <a href="https://doi.org/10.1109/TIM.2010.2082432">10.1109/TIM.2010.2082432</a>.'
  mla: Gutiérrez, J., et al. “Frequency-Domain Methodology for Measuring MIMO Channels
    Using a Generic Test Bed.” <i>IEEE Trans. Instrum. Meas.</i>, vol. 60, no. 3,
    2011, pp. 827–838, doi:<a href="https://doi.org/10.1109/TIM.2010.2082432">10.1109/TIM.2010.2082432</a>.
  short: J. Gutiérrez, J. Pérez, D. Ramírez, L. Vielva, J. Ibáñez, I. Santamaría,
    IEEE Trans. Instrum. Meas. 60 (2011) 827–838.
date_created: 2023-01-30T11:52:00Z
date_updated: 2023-01-30T11:56:48Z
department:
- _id: '263'
doi: 10.1109/TIM.2010.2082432
intvolume: '        60'
issue: '3'
page: 827–838
publication: IEEE Trans. Instrum. Meas.
status: public
title: Frequency-Domain Methodology for Measuring MIMO Channels Using a Generic Test
  Bed
type: journal_article
user_id: '43497'
volume: 60
year: '2011'
...
---
_id: '40839'
abstract:
- lang: eng
  text: Hardware platforms and testbeds are an essential tool to evaluate, in realistic
    scenarios, the performance of wireless communications systems. In this work we
    present a multiuser Multiple-Input Multiple-Output (MIMO) testbed made up of 6
    nodes, each one with 4 antennas, which allows us to evaluate Interference Alignment
    (IA) techniques in indoor scenarios. We specifically study the performance of
    IA for the 3-user interference channel in the 5 GHz band. Our analysis identifies
    the main practical issues that potentially degrade the IA performance such as
    channel estimation errors or collinearity between the desired signal and interference
    subspaces.
author:
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
- first_name: J. A.
  full_name: García-Naya, J. A.
  last_name: García-Naya
- first_name: L.
  full_name: Castedo, L.
  last_name: Castedo
citation:
  ama: 'Ramírez D, Santamaría I, García-Naya JA, Castedo L. Experimental Validation
    of Interference Alignment Techniques using a Multiuser MIMO Testbed. In: <i>Proc.
    Int. ITG Work. on Smart Antennas</i>. ; 2011. doi:<a href="https://doi.org/10.1109/WSA.2011.5741921">10.1109/WSA.2011.5741921</a>'
  apa: Ramírez, D., Santamaría, I., García-Naya, J. A., &#38; Castedo, L. (2011).
    Experimental Validation of Interference Alignment Techniques using a Multiuser
    MIMO Testbed. <i>Proc. Int. ITG Work. on Smart Antennas</i>. <a href="https://doi.org/10.1109/WSA.2011.5741921">https://doi.org/10.1109/WSA.2011.5741921</a>
  bibtex: '@inproceedings{Ramírez_Santamaría_García-Naya_Castedo_2011, place={Aachen,
    Germany}, title={Experimental Validation of Interference Alignment Techniques
    using a Multiuser MIMO Testbed}, DOI={<a href="https://doi.org/10.1109/WSA.2011.5741921">10.1109/WSA.2011.5741921</a>},
    booktitle={Proc. Int. ITG Work. on Smart Antennas}, author={Ramírez, D. and Santamaría,
    I. and García-Naya, J. A. and Castedo, L.}, year={2011} }'
  chicago: Ramírez, D., I. Santamaría, J. A. García-Naya, and L. Castedo. “Experimental
    Validation of Interference Alignment Techniques Using a Multiuser MIMO Testbed.”
    In <i>Proc. Int. ITG Work. on Smart Antennas</i>. Aachen, Germany, 2011. <a href="https://doi.org/10.1109/WSA.2011.5741921">https://doi.org/10.1109/WSA.2011.5741921</a>.
  ieee: 'D. Ramírez, I. Santamaría, J. A. García-Naya, and L. Castedo, “Experimental
    Validation of Interference Alignment Techniques using a Multiuser MIMO Testbed,”
    2011, doi: <a href="https://doi.org/10.1109/WSA.2011.5741921">10.1109/WSA.2011.5741921</a>.'
  mla: Ramírez, D., et al. “Experimental Validation of Interference Alignment Techniques
    Using a Multiuser MIMO Testbed.” <i>Proc. Int. ITG Work. on Smart Antennas</i>,
    2011, doi:<a href="https://doi.org/10.1109/WSA.2011.5741921">10.1109/WSA.2011.5741921</a>.
  short: 'D. Ramírez, I. Santamaría, J.A. García-Naya, L. Castedo, in: Proc. Int.
    ITG Work. on Smart Antennas, Aachen, Germany, 2011.'
date_created: 2023-01-30T11:52:00Z
date_updated: 2023-01-30T11:56:46Z
department:
- _id: '263'
doi: 10.1109/WSA.2011.5741921
place: Aachen, Germany
publication: Proc. Int. ITG Work. on Smart Antennas
status: public
title: Experimental Validation of Interference Alignment Techniques using a Multiuser
  MIMO Testbed
type: conference
user_id: '43497'
year: '2011'
...
---
_id: '40826'
author:
- first_name: Patrik
  full_name: Wahlberg, Patrik
  last_name: Wahlberg
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
citation:
  ama: Wahlberg P, Schreier PJ. Locally stationary harmonizable complex improper stochastic
    processes. <i>J\ Time Ser\ Anal</i>. 2011;32(1):33–46. doi:<a href="https://doi.org/10.1111/j.1467-9892.2010.00682.x">10.1111/j.1467-9892.2010.00682.x</a>
  apa: Wahlberg, P., &#38; Schreier, P. J. (2011). Locally stationary harmonizable
    complex improper stochastic processes. <i>J.\ Time Ser.\ Anal.</i>, <i>32</i>(1),
    33–46. <a href="https://doi.org/10.1111/j.1467-9892.2010.00682.x">https://doi.org/10.1111/j.1467-9892.2010.00682.x</a>
  bibtex: '@article{Wahlberg_Schreier_2011, title={Locally stationary harmonizable
    complex improper stochastic processes}, volume={32}, DOI={<a href="https://doi.org/10.1111/j.1467-9892.2010.00682.x">10.1111/j.1467-9892.2010.00682.x</a>},
    number={1}, journal={J.\ Time Ser.\ Anal.}, publisher={Blackwell Publishing Ltd},
    author={Wahlberg, Patrik and Schreier, Peter J.}, year={2011}, pages={33–46} }'
  chicago: 'Wahlberg, Patrik, and Peter J. Schreier. “Locally Stationary Harmonizable
    Complex Improper Stochastic Processes.” <i>J.\ Time Ser.\ Anal.</i> 32, no. 1
    (2011): 33–46. <a href="https://doi.org/10.1111/j.1467-9892.2010.00682.x">https://doi.org/10.1111/j.1467-9892.2010.00682.x</a>.'
  ieee: 'P. Wahlberg and P. J. Schreier, “Locally stationary harmonizable complex
    improper stochastic processes,” <i>J.\ Time Ser.\ Anal.</i>, vol. 32, no. 1, pp.
    33–46, 2011, doi: <a href="https://doi.org/10.1111/j.1467-9892.2010.00682.x">10.1111/j.1467-9892.2010.00682.x</a>.'
  mla: Wahlberg, Patrik, and Peter J. Schreier. “Locally Stationary Harmonizable Complex
    Improper Stochastic Processes.” <i>J.\ Time Ser.\ Anal.</i>, vol. 32, no. 1, Blackwell
    Publishing Ltd, 2011, pp. 33–46, doi:<a href="https://doi.org/10.1111/j.1467-9892.2010.00682.x">10.1111/j.1467-9892.2010.00682.x</a>.
  short: P. Wahlberg, P.J. Schreier, J.\ Time Ser.\ Anal. 32 (2011) 33–46.
date_created: 2023-01-30T11:51:58Z
date_updated: 2023-01-30T11:57:47Z
department:
- _id: '263'
doi: 10.1111/j.1467-9892.2010.00682.x
intvolume: '        32'
issue: '1'
page: 33–46
publication: J.\ Time Ser.\ Anal.
publisher: Blackwell Publishing Ltd
status: public
title: Locally stationary harmonizable complex improper stochastic processes
type: journal_article
user_id: '43497'
volume: 32
year: '2011'
...
---
_id: '40827'
author:
- first_name: Tülay
  full_name: Adali, Tülay
  last_name: Adali
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
- first_name: Louis L.
  full_name: Scharf, Louis L.
  last_name: Scharf
citation:
  ama: 'Adali T, Schreier PJ, Scharf LL. Complex-Valued Signal Processing: The Proper
    Way to Deal With Impropriety. <i>{IEEE} {T}rans\ {S}ignal\ {P}rocess</i>. 2011;59(11):5101–5125.
    doi:<a href="https://doi.org/10.1109/TSP.2011.2162954">10.1109/TSP.2011.2162954</a>'
  apa: 'Adali, T., Schreier, P. J., &#38; Scharf, L. L. (2011). Complex-Valued Signal
    Processing: The Proper Way to Deal With Impropriety. <i>{IEEE} {T}rans.\ {S}ignal\
    {P}rocess.</i>, <i>59</i>(11), 5101–5125. <a href="https://doi.org/10.1109/TSP.2011.2162954">https://doi.org/10.1109/TSP.2011.2162954</a>'
  bibtex: '@article{Adali_Schreier_Scharf_2011, title={Complex-Valued Signal Processing:
    The Proper Way to Deal With Impropriety}, volume={59}, DOI={<a href="https://doi.org/10.1109/TSP.2011.2162954">10.1109/TSP.2011.2162954</a>},
    number={11}, journal={{IEEE} {T}rans.\ {S}ignal\ {P}rocess.}, author={Adali, Tülay
    and Schreier, Peter J. and Scharf, Louis L.}, year={2011}, pages={5101–5125} }'
  chicago: 'Adali, Tülay, Peter J. Schreier, and Louis L. Scharf. “Complex-Valued
    Signal Processing: The Proper Way to Deal With Impropriety.” <i>{IEEE} {T}rans.\
    {S}ignal\ {P}rocess.</i> 59, no. 11 (2011): 5101–5125. <a href="https://doi.org/10.1109/TSP.2011.2162954">https://doi.org/10.1109/TSP.2011.2162954</a>.'
  ieee: 'T. Adali, P. J. Schreier, and L. L. Scharf, “Complex-Valued Signal Processing:
    The Proper Way to Deal With Impropriety,” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>,
    vol. 59, no. 11, pp. 5101–5125, 2011, doi: <a href="https://doi.org/10.1109/TSP.2011.2162954">10.1109/TSP.2011.2162954</a>.'
  mla: 'Adali, Tülay, et al. “Complex-Valued Signal Processing: The Proper Way to
    Deal With Impropriety.” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>, vol. 59,
    no. 11, 2011, pp. 5101–5125, doi:<a href="https://doi.org/10.1109/TSP.2011.2162954">10.1109/TSP.2011.2162954</a>.'
  short: T. Adali, P.J. Schreier, L.L. Scharf, {IEEE} {T}rans.\ {S}ignal\ {P}rocess.
    59 (2011) 5101–5125.
date_created: 2023-01-30T11:51:58Z
date_updated: 2023-01-30T11:57:45Z
department:
- _id: '263'
doi: 10.1109/TSP.2011.2162954
intvolume: '        59'
issue: '11'
page: 5101–5125
publication: '{IEEE} {T}rans.\ {S}ignal\ {P}rocess.'
status: public
title: 'Complex-Valued Signal Processing: The Proper Way to Deal With Impropriety'
type: journal_article
user_id: '43497'
volume: 59
year: '2011'
...
---
_id: '40825'
author:
- first_name: B. S.
  full_name: Rüffer, B. S.
  last_name: Rüffer
- first_name: Fabian R.
  full_name: Wirth, Fabian R.
  last_name: Wirth
citation:
  ama: Rüffer BS, Wirth FR. Stability verification for monotone systems using homotopy
    algorithms. <i>Numer Algorithms</i>. 2011;58(4):529–543. doi:<a href="https://doi.org/10.1007/s11075-011-9468-3">10.1007/s11075-011-9468-3</a>
  apa: Rüffer, B. S., &#38; Wirth, F. R. (2011). Stability verification for monotone
    systems using homotopy algorithms. <i>Numer. Algorithms</i>, <i>58</i>(4), 529–543.
    <a href="https://doi.org/10.1007/s11075-011-9468-3">https://doi.org/10.1007/s11075-011-9468-3</a>
  bibtex: '@article{Rüffer_Wirth_2011, title={Stability verification for monotone
    systems using homotopy algorithms}, volume={58}, DOI={<a href="https://doi.org/10.1007/s11075-011-9468-3">10.1007/s11075-011-9468-3</a>},
    number={4}, journal={Numer. Algorithms}, author={Rüffer, B. S. and Wirth, Fabian
    R.}, year={2011}, pages={529–543} }'
  chicago: 'Rüffer, B. S., and Fabian R. Wirth. “Stability Verification for Monotone
    Systems Using Homotopy Algorithms.” <i>Numer. Algorithms</i> 58, no. 4 (2011):
    529–543. <a href="https://doi.org/10.1007/s11075-011-9468-3">https://doi.org/10.1007/s11075-011-9468-3</a>.'
  ieee: 'B. S. Rüffer and F. R. Wirth, “Stability verification for monotone systems
    using homotopy algorithms,” <i>Numer. Algorithms</i>, vol. 58, no. 4, pp. 529–543,
    2011, doi: <a href="https://doi.org/10.1007/s11075-011-9468-3">10.1007/s11075-011-9468-3</a>.'
  mla: Rüffer, B. S., and Fabian R. Wirth. “Stability Verification for Monotone Systems
    Using Homotopy Algorithms.” <i>Numer. Algorithms</i>, vol. 58, no. 4, 2011, pp.
    529–543, doi:<a href="https://doi.org/10.1007/s11075-011-9468-3">10.1007/s11075-011-9468-3</a>.
  short: B.S. Rüffer, F.R. Wirth, Numer. Algorithms 58 (2011) 529–543.
date_created: 2023-01-30T11:51:58Z
date_updated: 2023-01-30T11:57:43Z
department:
- _id: '263'
doi: 10.1007/s11075-011-9468-3
intvolume: '        58'
issue: '4'
page: 529–543
publication: Numer. Algorithms
status: public
title: Stability verification for monotone systems using homotopy algorithms
type: journal_article
user_id: '43497'
volume: 58
year: '2011'
...
---
_id: '40829'
author:
- first_name: G.
  full_name: Vazquez-Vilar, G.
  last_name: Vazquez-Vilar
- first_name: D.
  full_name: Romero, D.
  last_name: Romero
- first_name: R.
  full_name: López-Valcarce, R.
  last_name: López-Valcarce
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
- first_name: J.
  full_name: Sala, J.
  last_name: Sala
citation:
  ama: 'Vazquez-Vilar G, Romero D, López-Valcarce R, et al. Recent advances in multiantenna
    spectrum sensing: complexity, noise uncertainty, and signal rank issues. In: <i>Int.
    Work. COST Action IC0902</i>. ; 2011.'
  apa: 'Vazquez-Vilar, G., Romero, D., López-Valcarce, R., Ramírez, D., Vía, J., Santamaría,
    I., &#38; Sala, J. (2011). Recent advances in multiantenna spectrum sensing: complexity,
    noise uncertainty, and signal rank issues. <i>Int. Work. COST Action IC0902</i>.'
  bibtex: '@inproceedings{Vazquez-Vilar_Romero_López-Valcarce_Ramírez_Vía_Santamaría_Sala_2011,
    place={Barcelona, Spain}, title={Recent advances in multiantenna spectrum sensing:
    complexity, noise uncertainty, and signal rank issues}, booktitle={Int. Work.
    COST Action IC0902}, author={Vazquez-Vilar, G. and Romero, D. and López-Valcarce,
    R. and Ramírez, D. and Vía, J. and Santamaría, I. and Sala, J.}, year={2011} }'
  chicago: 'Vazquez-Vilar, G., D. Romero, R. López-Valcarce, D. Ramírez, J. Vía, I.
    Santamaría, and J. Sala. “Recent Advances in Multiantenna Spectrum Sensing: Complexity,
    Noise Uncertainty, and Signal Rank Issues.” In <i>Int. Work. COST Action IC0902</i>.
    Barcelona, Spain, 2011.'
  ieee: 'G. Vazquez-Vilar <i>et al.</i>, “Recent advances in multiantenna spectrum
    sensing: complexity, noise uncertainty, and signal rank issues,” 2011.'
  mla: 'Vazquez-Vilar, G., et al. “Recent Advances in Multiantenna Spectrum Sensing:
    Complexity, Noise Uncertainty, and Signal Rank Issues.” <i>Int. Work. COST Action
    IC0902</i>, 2011.'
  short: 'G. Vazquez-Vilar, D. Romero, R. López-Valcarce, D. Ramírez, J. Vía, I. Santamaría,
    J. Sala, in: Int. Work. COST Action IC0902, Barcelona, Spain, 2011.'
date_created: 2023-01-30T11:51:58Z
date_updated: 2023-01-30T11:57:41Z
department:
- _id: '263'
place: Barcelona, Spain
publication: Int. Work. COST Action IC0902
status: public
title: 'Recent advances in multiantenna spectrum sensing: complexity, noise uncertainty,
  and signal rank issues'
type: conference
user_id: '43497'
year: '2011'
...
---
_id: '40824'
author:
- first_name: Hiroshi
  full_name: Ito, Hiroshi
  last_name: Ito
- first_name: Zhong-Ping
  full_name: Jiang, Zhong-Ping
  last_name: Jiang
- first_name: Sergey N.
  full_name: Dashkovskiy, Sergey N.
  last_name: Dashkovskiy
- first_name: Björn S.
  full_name: Rüffer, Björn S.
  last_name: Rüffer
citation:
  ama: 'Ito H, Jiang Z-P, Dashkovskiy SN, Rüffer BS. A Small-Gain Theorem and Construction
    of Sum-Type Lyapunov Functions for Networks of iISS Systems. In: <i>Proc. IEEE
    American Contr. Conf.</i> ; 2011:1971–1977.'
  apa: Ito, H., Jiang, Z.-P., Dashkovskiy, S. N., &#38; Rüffer, B. S. (2011). A Small-Gain
    Theorem and Construction of Sum-Type Lyapunov Functions for Networks of iISS Systems.
    <i>Proc. IEEE American Contr. Conf.</i>, 1971–1977.
  bibtex: '@inproceedings{Ito_Jiang_Dashkovskiy_Rüffer_2011, title={A Small-Gain Theorem
    and Construction of Sum-Type Lyapunov Functions for Networks of iISS Systems},
    booktitle={Proc. IEEE American Contr. Conf.}, author={Ito, Hiroshi and Jiang,
    Zhong-Ping and Dashkovskiy, Sergey N. and Rüffer, Björn S.}, year={2011}, pages={1971–1977}
    }'
  chicago: Ito, Hiroshi, Zhong-Ping Jiang, Sergey N. Dashkovskiy, and Björn S. Rüffer.
    “A Small-Gain Theorem and Construction of Sum-Type Lyapunov Functions for Networks
    of IISS Systems.” In <i>Proc. IEEE American Contr. Conf.</i>, 1971–1977, 2011.
  ieee: H. Ito, Z.-P. Jiang, S. N. Dashkovskiy, and B. S. Rüffer, “A Small-Gain Theorem
    and Construction of Sum-Type Lyapunov Functions for Networks of iISS Systems,”
    in <i>Proc. IEEE American Contr. Conf.</i>, 2011, pp. 1971–1977.
  mla: Ito, Hiroshi, et al. “A Small-Gain Theorem and Construction of Sum-Type Lyapunov
    Functions for Networks of IISS Systems.” <i>Proc. IEEE American Contr. Conf.</i>,
    2011, pp. 1971–1977.
  short: 'H. Ito, Z.-P. Jiang, S.N. Dashkovskiy, B.S. Rüffer, in: Proc. IEEE American
    Contr. Conf., 2011, pp. 1971–1977.'
date_created: 2023-01-30T11:51:58Z
date_updated: 2023-01-30T11:57:38Z
department:
- _id: '263'
page: 1971–1977
publication: Proc. IEEE American Contr. Conf.
status: public
title: A Small-Gain Theorem and Construction of Sum-Type Lyapunov Functions for Networks
  of iISS Systems
type: conference
user_id: '43497'
year: '2011'
...
---
_id: '40843'
abstract:
- lang: eng
  text: This work addresses the problem of deciding whether a set of realizations
    of a vector-valued time series with unknown temporal correlation are spatially
    correlated or not. For wide sense stationary (WSS) Gaussian processes, this is
    a problem of deciding between two different power spectral density matrices, one
    of them diagonal. Specifically, we show that for arbitrary Gaussian processes
    (not necessarily WSS) the generalized likelihood ratio test (GLRT) is given by
    the quotient between the determinant of the sample space-time covariance matrix
    and the determinant of its block-diagonal version. Furthermore, for WSS processes,
    we present an asymptotic frequency-domain approximation of the GLRT which is given
    by a function of the Hadamard ratio (quotient between the determinant of a matrix
    and the product of the elements of the main diagonal) of the estimated power spectral
    density matrix. The Hadamard ratio is known to be the GLRT detector for vector-valued
    random variables and, therefore, what this paper shows is how frequency-dependent
    Hadamard ratios must be merged into a single test statistic when the vector-valued
    random variable is replaced by a vector-valued time series with temporal correlation.
    For bivariate time series, the derived frequency domain detector can be rewritten
    as a function of the well-known magnitude squared coherence (MSC) spectrum, which
    suggests a straightforward extension of the MSC spectrum to the general case of
    multivariate time series. Finally, the performance of the proposed method is illustrated
    by means of simulations.
author:
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
- first_name: L. L.
  full_name: Scharf, L. L.
  last_name: Scharf
citation:
  ama: Ramírez D, Vía J, Santamaría I, Scharf LL. Detection of Spatially Correlated
    Gaussian Time Series. <i>{IEEE} {T}rans\ {S}ignal\ {P}rocess</i>. 2010;58(10):5006–5015.
    doi:<a href="https://doi.org/10.1109/TSP.2010.2053360">10.1109/TSP.2010.2053360</a>
  apa: Ramírez, D., Vía, J., Santamaría, I., &#38; Scharf, L. L. (2010). Detection
    of Spatially Correlated Gaussian Time Series. <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>,
    <i>58</i>(10), 5006–5015. <a href="https://doi.org/10.1109/TSP.2010.2053360">https://doi.org/10.1109/TSP.2010.2053360</a>
  bibtex: '@article{Ramírez_Vía_Santamaría_Scharf_2010, title={Detection of Spatially
    Correlated Gaussian Time Series}, volume={58}, DOI={<a href="https://doi.org/10.1109/TSP.2010.2053360">10.1109/TSP.2010.2053360</a>},
    number={10}, journal={{IEEE} {T}rans.\ {S}ignal\ {P}rocess.}, author={Ramírez,
    D. and Vía, J. and Santamaría, I. and Scharf, L. L.}, year={2010}, pages={5006–5015}
    }'
  chicago: 'Ramírez, D., J. Vía, I. Santamaría, and L. L. Scharf. “Detection of Spatially
    Correlated Gaussian Time Series.” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>
    58, no. 10 (2010): 5006–5015. <a href="https://doi.org/10.1109/TSP.2010.2053360">https://doi.org/10.1109/TSP.2010.2053360</a>.'
  ieee: 'D. Ramírez, J. Vía, I. Santamaría, and L. L. Scharf, “Detection of Spatially
    Correlated Gaussian Time Series,” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>,
    vol. 58, no. 10, pp. 5006–5015, 2010, doi: <a href="https://doi.org/10.1109/TSP.2010.2053360">10.1109/TSP.2010.2053360</a>.'
  mla: Ramírez, D., et al. “Detection of Spatially Correlated Gaussian Time Series.”
    <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>, vol. 58, no. 10, 2010, pp. 5006–5015,
    doi:<a href="https://doi.org/10.1109/TSP.2010.2053360">10.1109/TSP.2010.2053360</a>.
  short: D. Ramírez, J. Vía, I. Santamaría, L.L. Scharf, {IEEE} {T}rans.\ {S}ignal\
    {P}rocess. 58 (2010) 5006–5015.
date_created: 2023-01-30T11:52:00Z
date_updated: 2023-01-30T11:56:44Z
department:
- _id: '263'
doi: 10.1109/TSP.2010.2053360
intvolume: '        58'
issue: '10'
page: 5006–5015
publication: '{IEEE} {T}rans.\ {S}ignal\ {P}rocess.'
status: public
title: Detection of Spatially Correlated Gaussian Time Series
type: journal_article
user_id: '43497'
volume: 58
year: '2010'
...
---
_id: '40842'
abstract:
- lang: eng
  text: One of the key problems in cognitive radio (CR) is the detection of primary
    activity in order to determine which parts of the spectrum are available for opportunistic
    access. In this work, we present a new multiantenna detector which fully exploits
    the spatial and temporal structure of the signals. In particular, we derive the
    generalized likelihood ratio test (GLRT) for the problem of detecting a wideband
    rank-one signal under spatially uncorrelated noise with equal or different power
    spectral densities. In order to simplify the maximum likelihood (ML) estimation
    of the unknown parameters, we use the asymptotic likelihood in the frequency domain.
    Interestingly, for noises with different distributions and under a low SNR approximation,
    the GLRT is obtained as a function of the largest eigenvalue of the spectral coherence
    matrix. Finally, the performance of the proposed detectors is evaluated by means
    of numerical simulations, showing important advantages over previously proposed
    approaches.
author:
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
citation:
  ama: 'Ramírez D, Vía J, Santamaría I. Multiantenna spectrum sensing: The case of
    wideband rank-one primary signals. In: <i>Proc.\ IEEE Sensor Array and Multichannel
    Signal Process. Work.</i> ; 2010. doi:<a href="https://doi.org/10.1109/SAM.2010.5606502">10.1109/SAM.2010.5606502</a>'
  apa: 'Ramírez, D., Vía, J., &#38; Santamaría, I. (2010). Multiantenna spectrum sensing:
    The case of wideband rank-one primary signals. <i>Proc.\ IEEE Sensor Array and
    Multichannel Signal Process. Work.</i> <a href="https://doi.org/10.1109/SAM.2010.5606502">https://doi.org/10.1109/SAM.2010.5606502</a>'
  bibtex: '@inproceedings{Ramírez_Vía_Santamaría_2010, place={Israel}, title={Multiantenna
    spectrum sensing: The case of wideband rank-one primary signals}, DOI={<a href="https://doi.org/10.1109/SAM.2010.5606502">10.1109/SAM.2010.5606502</a>},
    booktitle={Proc.\ IEEE Sensor Array and Multichannel Signal Process. Work.}, author={Ramírez,
    D. and Vía, J. and Santamaría, I.}, year={2010} }'
  chicago: 'Ramírez, D., J. Vía, and I. Santamaría. “Multiantenna Spectrum Sensing:
    The Case of Wideband Rank-One Primary Signals.” In <i>Proc.\ IEEE Sensor Array
    and Multichannel Signal Process. Work.</i> Israel, 2010. <a href="https://doi.org/10.1109/SAM.2010.5606502">https://doi.org/10.1109/SAM.2010.5606502</a>.'
  ieee: 'D. Ramírez, J. Vía, and I. Santamaría, “Multiantenna spectrum sensing: The
    case of wideband rank-one primary signals,” 2010, doi: <a href="https://doi.org/10.1109/SAM.2010.5606502">10.1109/SAM.2010.5606502</a>.'
  mla: 'Ramírez, D., et al. “Multiantenna Spectrum Sensing: The Case of Wideband Rank-One
    Primary Signals.” <i>Proc.\ IEEE Sensor Array and Multichannel Signal Process.
    Work.</i>, 2010, doi:<a href="https://doi.org/10.1109/SAM.2010.5606502">10.1109/SAM.2010.5606502</a>.'
  short: 'D. Ramírez, J. Vía, I. Santamaría, in: Proc.\ IEEE Sensor Array and Multichannel
    Signal Process. Work., Israel, 2010.'
date_created: 2023-01-30T11:52:00Z
date_updated: 2023-01-30T11:56:41Z
department:
- _id: '263'
doi: 10.1109/SAM.2010.5606502
place: Israel
publication: Proc.\ IEEE Sensor Array and Multichannel Signal Process. Work.
status: public
title: 'Multiantenna spectrum sensing: The case of wideband rank-one primary signals'
type: conference
user_id: '43497'
year: '2010'
...
---
_id: '40849'
abstract:
- lang: eng
  text: In this paper the two main definitions of quaternion properness (or second
    order circularity) are reviewed, showing their connection with the structure of
    the optimal quaternion linear processing. Specifically, we present a rigorous
    generalization of the most common multivariate statistical analysis techniques
    to the case of quaternion vectors, and show that the different kinds of quaternion
    improperness require different kinds of widely linear processing. In general,
    the optimal linear processing is \emph{full-widely linear}, which requires the
    joint processing of the quaternion vector and its involutions over three pure
    unit quaternions. However, in the case of jointly $\mathbbQ$-proper and $\mathbbC^{\eta}$-proper
    vectors, the optimal processing reduces, respectively, to the \emphconventional
    and \emph{semi-widely linear processing}, with the latter only requiring to operate
    on the quaternion vector and its involution over the pure unit quaternion $\eta$.
    Finally, a simulation example poses some interesting questions for future research.
author:
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
- first_name: L.
  full_name: Vielva, L.
  last_name: Vielva
citation:
  ama: 'Vía J, Ramírez D, Santamaría I, Vielva L. Widely and semi-widely linear processing
    of quaternion vectors. In: <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal
    Process.</i> ; 2010. doi:<a href="https://doi.org/10.1109/ICASSP.2010.5495787">10.1109/ICASSP.2010.5495787</a>'
  apa: Vía, J., Ramírez, D., Santamaría, I., &#38; Vielva, L. (2010). Widely and semi-widely
    linear processing of quaternion vectors. <i>Proc.\ IEEE Int.\ Conf.\ Acoustics,
    Speech and Signal Process.</i> <a href="https://doi.org/10.1109/ICASSP.2010.5495787">https://doi.org/10.1109/ICASSP.2010.5495787</a>
  bibtex: '@inproceedings{Vía_Ramírez_Santamaría_Vielva_2010, place={Dallas, USA},
    title={Widely and semi-widely linear processing of quaternion vectors}, DOI={<a
    href="https://doi.org/10.1109/ICASSP.2010.5495787">10.1109/ICASSP.2010.5495787</a>},
    booktitle={Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.}, author={Vía,
    J. and Ramírez, D. and Santamaría, I. and Vielva, L.}, year={2010} }'
  chicago: Vía, J., D. Ramírez, I. Santamaría, and L. Vielva. “Widely and Semi-Widely
    Linear Processing of Quaternion Vectors.” In <i>Proc.\ IEEE Int.\ Conf.\ Acoustics,
    Speech and Signal Process.</i> Dallas, USA, 2010. <a href="https://doi.org/10.1109/ICASSP.2010.5495787">https://doi.org/10.1109/ICASSP.2010.5495787</a>.
  ieee: 'J. Vía, D. Ramírez, I. Santamaría, and L. Vielva, “Widely and semi-widely
    linear processing of quaternion vectors,” 2010, doi: <a href="https://doi.org/10.1109/ICASSP.2010.5495787">10.1109/ICASSP.2010.5495787</a>.'
  mla: Vía, J., et al. “Widely and Semi-Widely Linear Processing of Quaternion Vectors.”
    <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.</i>, 2010, doi:<a
    href="https://doi.org/10.1109/ICASSP.2010.5495787">10.1109/ICASSP.2010.5495787</a>.
  short: 'J. Vía, D. Ramírez, I. Santamaría, L. Vielva, in: Proc.\ IEEE Int.\ Conf.\
    Acoustics, Speech and Signal Process., Dallas, USA, 2010.'
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:56:53Z
department:
- _id: '263'
doi: 10.1109/ICASSP.2010.5495787
place: Dallas, USA
publication: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.
status: public
title: Widely and semi-widely linear processing of quaternion vectors
type: conference
user_id: '43497'
year: '2010'
...
---
_id: '40840'
abstract:
- lang: eng
  text: Complex-valued random signals are embedded in the very fabric of science and
    engineering, yet the usual assumptions made about their statistical behavior are
    often a poor representation of the underlying physics. This book deals with improper
    and noncircular complex signals, which do not conform to classical assumptions,
    and it demonstrates how correct treatment of these signals can have significant
    payoffs. The book begins with detailed coverage of the fundamental theory and
    presents a variety of tools and algorithms for dealing with improper and noncircular
    signals. It provides a comprehensive account of the main applications, covering
    detection, estimation, and signal analysis of stationary, nonstationary, and cyclostationary
    processes. Providing a systematic development from the origin of complex signals
    to their probabilistic description makes the theory accessible to newcomers. This
    book is ideal for graduate students and researchers working with complex data
    in a range of research areas from communications to oceanography.
author:
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
- first_name: Louis L.
  full_name: Scharf, Louis L.
  last_name: Scharf
citation:
  ama: 'Schreier PJ, Scharf LL. <i>Statistical Signal Processing of Complex-Valued
    Data: The Theory of Improper and Noncircular Signals</i>. Cambridge University
    Press; 2010.'
  apa: 'Schreier, P. J., &#38; Scharf, L. L. (2010). <i>Statistical Signal Processing
    of Complex-Valued Data: The Theory of Improper and Noncircular Signals</i>. Cambridge
    University Press.'
  bibtex: '@book{Schreier_Scharf_2010, title={Statistical Signal Processing of Complex-Valued
    Data: The Theory of Improper and Noncircular Signals}, publisher={Cambridge University
    Press}, author={Schreier, Peter J. and Scharf, Louis L.}, year={2010} }'
  chicago: 'Schreier, Peter J., and Louis L. Scharf. <i>Statistical Signal Processing
    of Complex-Valued Data: The Theory of Improper and Noncircular Signals</i>. Cambridge
    University Press, 2010.'
  ieee: 'P. J. Schreier and L. L. Scharf, <i>Statistical Signal Processing of Complex-Valued
    Data: The Theory of Improper and Noncircular Signals</i>. Cambridge University
    Press, 2010.'
  mla: 'Schreier, Peter J., and Louis L. Scharf. <i>Statistical Signal Processing
    of Complex-Valued Data: The Theory of Improper and Noncircular Signals</i>. Cambridge
    University Press, 2010.'
  short: 'P.J. Schreier, L.L. Scharf, Statistical Signal Processing of Complex-Valued
    Data: The Theory of Improper and Noncircular Signals, Cambridge University Press,
    2010.'
date_created: 2023-01-30T11:52:00Z
date_updated: 2023-01-30T11:56:39Z
department:
- _id: '263'
page: '330'
publisher: Cambridge University Press
status: public
title: 'Statistical Signal Processing of Complex-Valued Data: The Theory of Improper
  and Noncircular Signals'
type: book
user_id: '43497'
year: '2010'
...
---
_id: '40841'
abstract:
- lang: eng
  text: This paper presents a comprehensive analysis of superposition coded modulation
    (SCM). Two types of SCM schemes, i.e., the single-code SCM (SC-SCM) and multi-code
    SCM (MC-SCM), are analyzed. The basic features of SCM are described, followed
    by the information-theoretic analysis. Different encoding/decoding strategies
    are compared from the capacity point of view. A semi-analytical evolution technique
    is proposed to track the convergence behavior of iterative decoding. Analytical
    error-rate analysis is then conducted to predict the asymptotic performance. Numerous
    examples demonstrate that the analysis tools discussed in this paper can provide
    reasonably accurate performance prediction for SCM schemes.
author:
- first_name: Jun
  full_name: Tong, Jun
  last_name: Tong
- first_name: Li
  full_name: Ping, Li
  last_name: Ping
citation:
  ama: Tong J, Ping L. Performance analysis of superposition coded modulation. <i>Physical
    Comm</i>. 2010;3(3):147–155. doi:<a href="https://doi.org/10.1016/j.phycom.2009.08.008">10.1016/j.phycom.2009.08.008</a>
  apa: Tong, J., &#38; Ping, L. (2010). Performance analysis of superposition coded
    modulation. <i>Physical Comm.</i>, <i>3</i>(3), 147–155. <a href="https://doi.org/10.1016/j.phycom.2009.08.008">https://doi.org/10.1016/j.phycom.2009.08.008</a>
  bibtex: '@article{Tong_Ping_2010, title={Performance analysis of superposition coded
    modulation}, volume={3}, DOI={<a href="https://doi.org/10.1016/j.phycom.2009.08.008">10.1016/j.phycom.2009.08.008</a>},
    number={3}, journal={Physical Comm.}, author={Tong, Jun and Ping, Li}, year={2010},
    pages={147–155} }'
  chicago: 'Tong, Jun, and Li Ping. “Performance Analysis of Superposition Coded Modulation.”
    <i>Physical Comm.</i> 3, no. 3 (2010): 147–155. <a href="https://doi.org/10.1016/j.phycom.2009.08.008">https://doi.org/10.1016/j.phycom.2009.08.008</a>.'
  ieee: 'J. Tong and L. Ping, “Performance analysis of superposition coded modulation,”
    <i>Physical Comm.</i>, vol. 3, no. 3, pp. 147–155, 2010, doi: <a href="https://doi.org/10.1016/j.phycom.2009.08.008">10.1016/j.phycom.2009.08.008</a>.'
  mla: Tong, Jun, and Li Ping. “Performance Analysis of Superposition Coded Modulation.”
    <i>Physical Comm.</i>, vol. 3, no. 3, 2010, pp. 147–155, doi:<a href="https://doi.org/10.1016/j.phycom.2009.08.008">10.1016/j.phycom.2009.08.008</a>.
  short: J. Tong, L. Ping, Physical Comm. 3 (2010) 147–155.
date_created: 2023-01-30T11:52:00Z
date_updated: 2023-01-30T11:56:37Z
department:
- _id: '263'
doi: 10.1016/j.phycom.2009.08.008
intvolume: '         3'
issue: '3'
page: 147–155
publication: Physical Comm.
status: public
title: Performance analysis of superposition coded modulation
type: journal_article
user_id: '43497'
volume: 3
year: '2010'
...
---
_id: '40850'
abstract:
- lang: eng
  text: We study linear minimum mean squared error filters for continuous-time second-order
    stochastic processes that are locally stationary in Silverman’s sense. We show
    that the optimal filter is rarely locally stationary even when the covariance
    functions have Gaussian shape. Using Mehler’s formula we derive series expansions
    of the filter kernel for locally stationary covariances that are determined by
    Gaussians.
author:
- first_name: Patrik
  full_name: Wahlberg, Patrik
  last_name: Wahlberg
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
citation:
  ama: Wahlberg P, Schreier PJ. On Wiener filtering of certain locally stationary
    stochastic processes. <i>Signal Process</i>. 2010;90(3):885–890. doi:<a href="https://doi.org/10.1016/j.sigpro.2009.09.013">10.1016/j.sigpro.2009.09.013</a>
  apa: Wahlberg, P., &#38; Schreier, P. J. (2010). On Wiener filtering of certain
    locally stationary stochastic processes. <i>Signal Process.</i>, <i>90</i>(3),
    885–890. <a href="https://doi.org/10.1016/j.sigpro.2009.09.013">https://doi.org/10.1016/j.sigpro.2009.09.013</a>
  bibtex: '@article{Wahlberg_Schreier_2010, title={On Wiener filtering of certain
    locally stationary stochastic processes}, volume={90}, DOI={<a href="https://doi.org/10.1016/j.sigpro.2009.09.013">10.1016/j.sigpro.2009.09.013</a>},
    number={3}, journal={Signal Process.}, author={Wahlberg, Patrik and Schreier,
    Peter J.}, year={2010}, pages={885–890} }'
  chicago: 'Wahlberg, Patrik, and Peter J. Schreier. “On Wiener Filtering of Certain
    Locally Stationary Stochastic Processes.” <i>Signal Process.</i> 90, no. 3 (2010):
    885–890. <a href="https://doi.org/10.1016/j.sigpro.2009.09.013">https://doi.org/10.1016/j.sigpro.2009.09.013</a>.'
  ieee: 'P. Wahlberg and P. J. Schreier, “On Wiener filtering of certain locally stationary
    stochastic processes,” <i>Signal Process.</i>, vol. 90, no. 3, pp. 885–890, 2010,
    doi: <a href="https://doi.org/10.1016/j.sigpro.2009.09.013">10.1016/j.sigpro.2009.09.013</a>.'
  mla: Wahlberg, Patrik, and Peter J. Schreier. “On Wiener Filtering of Certain Locally
    Stationary Stochastic Processes.” <i>Signal Process.</i>, vol. 90, no. 3, 2010,
    pp. 885–890, doi:<a href="https://doi.org/10.1016/j.sigpro.2009.09.013">10.1016/j.sigpro.2009.09.013</a>.
  short: P. Wahlberg, P.J. Schreier, Signal Process. 90 (2010) 885–890.
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:56:50Z
department:
- _id: '263'
doi: 10.1016/j.sigpro.2009.09.013
intvolume: '        90'
issue: '3'
page: 885–890
publication: Signal Process.
status: public
title: On Wiener filtering of certain locally stationary stochastic processes
type: journal_article
user_id: '43497'
volume: 90
year: '2010'
...
---
_id: '40848'
abstract:
- lang: eng
  text: One of the key problems in cognitive radio (CR) is the detection of primary
    activity in order to determine which parts of the spectrum are available for opportunistic
    access. This detection task is challenging, since the wireless environment often
    results in very low SNR conditions. Moreover, calibration errors and imperfect
    analog components at the CR spectral monitor result in uncertainties in the noise
    spectrum, making the problem more difficult. In this work, we present a new multiantenna
    detector which is based on the fact that the observation noise processes are spatially
    uncorrelated, whereas any primary signal present should result inspatial correlation.
    In particular, we derive the generalized likelihood ratio test (GLRT) for this
    problem, which is given by the quotient between the determinant of the sample
    covariance matrix and the determinant of its block-diagonal version. For stationary
    processes the GLRT tends asymptotically to the integral of the logarithm of the
    Hadamard ratio of the estimated power spectral density matrix. Additionally, we
    present an approximation of the frequency domain detector in the low SNR regime,
    which results in computational savings. The performance of the proposed detectors
    is evaluated by means of numerical simulations, showing important advantages over
    existing detectors.
author:
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
- first_name: R.
  full_name: López-Valcarce, R.
  last_name: López-Valcarce
- first_name: L. L.
  full_name: Scharf, L. L.
  last_name: Scharf
citation:
  ama: 'Ramírez D, Vía J, Santamaría I, López-Valcarce R, Scharf LL. Multiantenna
    Spectrum Sensing: Detection of Spatial Correlation Among Time-Series With Unknown
    Spectra. In: <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.</i>
    ; 2010. doi:<a href="https://doi.org/10.1109/ICASSP.2010.5496151">10.1109/ICASSP.2010.5496151</a>'
  apa: 'Ramírez, D., Vía, J., Santamaría, I., López-Valcarce, R., &#38; Scharf, L.
    L. (2010). Multiantenna Spectrum Sensing: Detection of Spatial Correlation Among
    Time-Series With Unknown Spectra. <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech
    and Signal Process.</i> <a href="https://doi.org/10.1109/ICASSP.2010.5496151">https://doi.org/10.1109/ICASSP.2010.5496151</a>'
  bibtex: '@inproceedings{Ramírez_Vía_Santamaría_López-Valcarce_Scharf_2010, place={Dallas,
    USA}, title={Multiantenna Spectrum Sensing: Detection of Spatial Correlation Among
    Time-Series With Unknown Spectra}, DOI={<a href="https://doi.org/10.1109/ICASSP.2010.5496151">10.1109/ICASSP.2010.5496151</a>},
    booktitle={Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.}, author={Ramírez,
    D. and Vía, J. and Santamaría, I. and López-Valcarce, R. and Scharf, L. L.}, year={2010}
    }'
  chicago: 'Ramírez, D., J. Vía, I. Santamaría, R. López-Valcarce, and L. L. Scharf.
    “Multiantenna Spectrum Sensing: Detection of Spatial Correlation Among Time-Series
    With Unknown Spectra.” In <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal
    Process.</i> Dallas, USA, 2010. <a href="https://doi.org/10.1109/ICASSP.2010.5496151">https://doi.org/10.1109/ICASSP.2010.5496151</a>.'
  ieee: 'D. Ramírez, J. Vía, I. Santamaría, R. López-Valcarce, and L. L. Scharf, “Multiantenna
    Spectrum Sensing: Detection of Spatial Correlation Among Time-Series With Unknown
    Spectra,” 2010, doi: <a href="https://doi.org/10.1109/ICASSP.2010.5496151">10.1109/ICASSP.2010.5496151</a>.'
  mla: 'Ramírez, D., et al. “Multiantenna Spectrum Sensing: Detection of Spatial Correlation
    Among Time-Series With Unknown Spectra.” <i>Proc.\ IEEE Int.\ Conf.\ Acoustics,
    Speech and Signal Process.</i>, 2010, doi:<a href="https://doi.org/10.1109/ICASSP.2010.5496151">10.1109/ICASSP.2010.5496151</a>.'
  short: 'D. Ramírez, J. Vía, I. Santamaría, R. López-Valcarce, L.L. Scharf, in: Proc.\
    IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process., Dallas, USA, 2010.'
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:55:28Z
department:
- _id: '263'
doi: 10.1109/ICASSP.2010.5496151
place: Dallas, USA
publication: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.
status: public
title: 'Multiantenna Spectrum Sensing: Detection of Spatial Correlation Among Time-Series
  With Unknown Spectra'
type: conference
user_id: '43497'
year: '2010'
...
---
_id: '40847'
abstract:
- lang: eng
  text: In this paper, the second-order circularity of quater- nion random vectors
    is analyzed. Unlike the case of complex vectors, there exist three different kinds
    of quaternion properness, which are based on the vanishing of three different
    complemen- tary covariance matrices. The different kinds of properness have direct
    implications on the Cayley–Dickson representation of the quaternion vector, and
    also on several well-known multivariate statistical analysis methods. In particular,
    the quaternion exten- sions of the partial least squares (PLS), multiple linear
    regression (MLR) and canonical correlation analysis (CCA) techniques are analyzed,
    showing that, in general, the optimal linear processing is \emph{full-widely linear}.
    However, in the case of jointly $\mathbbQ$-proper or $\mathbbC^{\eta}$-proper
    vectors, the optimal processing reduces, respectively, to the \emphconventional
    or \emph{semi-widely linear} processing. Finally, a measure for the degree of
    improperness of a quaternion random vector is proposed, which is based on the
    Kullback–Leibler diver- gence between two zero-mean Gaussian distributions, one
    of them with the actual augmented covariance matrix, and the other with its closest
    proper version. This measure quantifies the entropy loss due to the improperness
    of the quaternion vector, and it admits an intuitive geometrical interpretation
    based on Kullback–Leibler projections onto sets of proper augmented covariance
    matrices.
author:
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
citation:
  ama: Vía J, Ramírez D, Santamaría I. Properness and Widely Linear Processing of
    Quaternion Random Vectors. <i>IEEE Trans\ Inform\ Theory</i>. 2010;56(7):3502–3515.
    doi:<a href="https://doi.org/10.1109/TIT.2010.2048440">10.1109/TIT.2010.2048440</a>
  apa: Vía, J., Ramírez, D., &#38; Santamaría, I. (2010). Properness and Widely Linear
    Processing of Quaternion Random Vectors. <i>IEEE Trans.\ Inform.\ Theory</i>,
    <i>56</i>(7), 3502–3515. <a href="https://doi.org/10.1109/TIT.2010.2048440">https://doi.org/10.1109/TIT.2010.2048440</a>
  bibtex: '@article{Vía_Ramírez_Santamaría_2010, title={Properness and Widely Linear
    Processing of Quaternion Random Vectors}, volume={56}, DOI={<a href="https://doi.org/10.1109/TIT.2010.2048440">10.1109/TIT.2010.2048440</a>},
    number={7}, journal={IEEE Trans.\ Inform.\ Theory}, author={Vía, J. and Ramírez,
    D. and Santamaría, I.}, year={2010}, pages={3502–3515} }'
  chicago: 'Vía, J., D. Ramírez, and I. Santamaría. “Properness and Widely Linear
    Processing of Quaternion Random Vectors.” <i>IEEE Trans.\ Inform.\ Theory</i>
    56, no. 7 (2010): 3502–3515. <a href="https://doi.org/10.1109/TIT.2010.2048440">https://doi.org/10.1109/TIT.2010.2048440</a>.'
  ieee: 'J. Vía, D. Ramírez, and I. Santamaría, “Properness and Widely Linear Processing
    of Quaternion Random Vectors,” <i>IEEE Trans.\ Inform.\ Theory</i>, vol. 56, no.
    7, pp. 3502–3515, 2010, doi: <a href="https://doi.org/10.1109/TIT.2010.2048440">10.1109/TIT.2010.2048440</a>.'
  mla: Vía, J., et al. “Properness and Widely Linear Processing of Quaternion Random
    Vectors.” <i>IEEE Trans.\ Inform.\ Theory</i>, vol. 56, no. 7, 2010, pp. 3502–3515,
    doi:<a href="https://doi.org/10.1109/TIT.2010.2048440">10.1109/TIT.2010.2048440</a>.
  short: J. Vía, D. Ramírez, I. Santamaría, IEEE Trans.\ Inform.\ Theory 56 (2010)
    3502–3515.
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:55:25Z
department:
- _id: '263'
doi: 10.1109/TIT.2010.2048440
intvolume: '        56'
issue: '7'
page: 3502–3515
publication: IEEE Trans.\ Inform.\ Theory
status: public
title: Properness and Widely Linear Processing of Quaternion Random Vectors
type: journal_article
user_id: '43497'
volume: 56
year: '2010'
...
---
_id: '40844'
abstract:
- lang: eng
  text: This paper deals with the clipping method used in orthogonal frequency-division
    multiplexing (OFDM) systems to reduce the peak-to-average power ratio (PAPR).
    An iterative soft compensation method is proposed to mitigate the clipping distortion,
    which can outperform conventional treatments. The impact of signaling schemes
    on the residual clipping noise power is studied via the symbol variance analysis.
    It is found that superposition coded modulation (SCM) can minimize the residual
    clipping noise power among all possible signaling schemes. This indicates that
    SCM-based OFDM systems are more robust to clipping effect than other alternatives
    when soft compensation is applied. It is also shown that a multi-code SCM scheme
    can further reduce the clipping effect and its overall performance can be quickly
    evaluated using a semi-analytical evolution method. Numerical examples are provided
    to verify the analysis.
author:
- first_name: Jun
  full_name: Tong, Jun
  last_name: Tong
- first_name: Li
  full_name: Ping, Li
  last_name: Ping
- first_name: Zhonghao
  full_name: Zhang, Zhonghao
  last_name: Zhang
- first_name: Vijay K.
  full_name: Bhargava, Vijay K.
  last_name: Bhargava
citation:
  ama: Tong J, Ping L, Zhang Z, Bhargava VK. Iterative soft compensation for OFDM
    systems with clipping and superposition coded modulation. <i>IEEE Trans\ Comm</i>.
    2010;58(10):2861–2870. doi:<a href="https://doi.org/10.1109/TCOMM.2010.083110.09296">10.1109/TCOMM.2010.083110.09296</a>
  apa: Tong, J., Ping, L., Zhang, Z., &#38; Bhargava, V. K. (2010). Iterative soft
    compensation for OFDM systems with clipping and superposition coded modulation.
    <i>IEEE Trans.\ Comm.</i>, <i>58</i>(10), 2861–2870. <a href="https://doi.org/10.1109/TCOMM.2010.083110.09296">https://doi.org/10.1109/TCOMM.2010.083110.09296</a>
  bibtex: '@article{Tong_Ping_Zhang_Bhargava_2010, title={Iterative soft compensation
    for OFDM systems with clipping and superposition coded modulation}, volume={58},
    DOI={<a href="https://doi.org/10.1109/TCOMM.2010.083110.09296">10.1109/TCOMM.2010.083110.09296</a>},
    number={10}, journal={IEEE Trans.\ Comm.}, author={Tong, Jun and Ping, Li and
    Zhang, Zhonghao and Bhargava, Vijay K.}, year={2010}, pages={2861–2870} }'
  chicago: 'Tong, Jun, Li Ping, Zhonghao Zhang, and Vijay K. Bhargava. “Iterative
    Soft Compensation for OFDM Systems with Clipping and Superposition Coded Modulation.”
    <i>IEEE Trans.\ Comm.</i> 58, no. 10 (2010): 2861–2870. <a href="https://doi.org/10.1109/TCOMM.2010.083110.09296">https://doi.org/10.1109/TCOMM.2010.083110.09296</a>.'
  ieee: 'J. Tong, L. Ping, Z. Zhang, and V. K. Bhargava, “Iterative soft compensation
    for OFDM systems with clipping and superposition coded modulation,” <i>IEEE Trans.\
    Comm.</i>, vol. 58, no. 10, pp. 2861–2870, 2010, doi: <a href="https://doi.org/10.1109/TCOMM.2010.083110.09296">10.1109/TCOMM.2010.083110.09296</a>.'
  mla: Tong, Jun, et al. “Iterative Soft Compensation for OFDM Systems with Clipping
    and Superposition Coded Modulation.” <i>IEEE Trans.\ Comm.</i>, vol. 58, no. 10,
    2010, pp. 2861–2870, doi:<a href="https://doi.org/10.1109/TCOMM.2010.083110.09296">10.1109/TCOMM.2010.083110.09296</a>.
  short: J. Tong, L. Ping, Z. Zhang, V.K. Bhargava, IEEE Trans.\ Comm. 58 (2010) 2861–2870.
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:57:00Z
department:
- _id: '263'
doi: 10.1109/TCOMM.2010.083110.09296
intvolume: '        58'
issue: '10'
page: 2861–2870
publication: IEEE Trans.\ Comm.
status: public
title: Iterative soft compensation for OFDM systems with clipping and superposition
  coded modulation
type: journal_article
user_id: '43497'
volume: 58
year: '2010'
...
---
_id: '40845'
abstract:
- lang: eng
  text: It has been recently proved that the two main kinds of quaternion improperness
    require two different kinds of widely linear process- ing. In this work, we show
    that these definitions satisfy some im- portant properties, which include the
    invariance to quaternion lin- ear transformations and right Clifford translations,
    as well as some clear connections with the case of proper complex vectors. More-
    over, we introduce a new kind of quaternion properness, which clearly relates
    the two previous definitions, and propose three mea- sures for the degree of improperness
    of a quaternion vector. The proposed measures are based on the Kullback-Leibler
    divergence between two zero-mean quaternion Gaussian distributions, one of them
    with the actual augmented covariance matrix, and the other with its closest proper
    version. These measures allow us to quan- tify the entropy loss due to the improperness
    of the quaternion vec- tor, and they admit an intuitive geometrical interpretation
    based on Kullback-Leibler projections onto sets of proper augmented co- variance
    matrices.
author:
- first_name: J.
  full_name: Vía, J.
  last_name: Vía
- first_name: D.
  full_name: Ramírez, D.
  last_name: Ramírez
- first_name: I.
  full_name: Santamaría, I.
  last_name: Santamaría
- first_name: L.
  full_name: Vielva, L.
  last_name: Vielva
citation:
  ama: 'Vía J, Ramírez D, Santamaría I, Vielva L. Improperness Measures for Quaternion
    Random Vectors. In: <i>Proc.\ IEEE Int.\ Work. Machine Learning for Signal Process.</i>
    ; 2010. doi:<a href="https://doi.org/10.1109/MLSP.2010.5589225">10.1109/MLSP.2010.5589225</a>'
  apa: Vía, J., Ramírez, D., Santamaría, I., &#38; Vielva, L. (2010). Improperness
    Measures for Quaternion Random Vectors. <i>Proc.\ IEEE Int.\ Work. Machine Learning
    for Signal Process.</i> <a href="https://doi.org/10.1109/MLSP.2010.5589225">https://doi.org/10.1109/MLSP.2010.5589225</a>
  bibtex: '@inproceedings{Vía_Ramírez_Santamaría_Vielva_2010, place={Finland}, title={Improperness
    Measures for Quaternion Random Vectors}, DOI={<a href="https://doi.org/10.1109/MLSP.2010.5589225">10.1109/MLSP.2010.5589225</a>},
    booktitle={Proc.\ IEEE Int.\ Work. Machine Learning for Signal Process.}, author={Vía,
    J. and Ramírez, D. and Santamaría, I. and Vielva, L.}, year={2010} }'
  chicago: Vía, J., D. Ramírez, I. Santamaría, and L. Vielva. “Improperness Measures
    for Quaternion Random Vectors.” In <i>Proc.\ IEEE Int.\ Work. Machine Learning
    for Signal Process.</i> Finland, 2010. <a href="https://doi.org/10.1109/MLSP.2010.5589225">https://doi.org/10.1109/MLSP.2010.5589225</a>.
  ieee: 'J. Vía, D. Ramírez, I. Santamaría, and L. Vielva, “Improperness Measures
    for Quaternion Random Vectors,” 2010, doi: <a href="https://doi.org/10.1109/MLSP.2010.5589225">10.1109/MLSP.2010.5589225</a>.'
  mla: Vía, J., et al. “Improperness Measures for Quaternion Random Vectors.” <i>Proc.\
    IEEE Int.\ Work. Machine Learning for Signal Process.</i>, 2010, doi:<a href="https://doi.org/10.1109/MLSP.2010.5589225">10.1109/MLSP.2010.5589225</a>.
  short: 'J. Vía, D. Ramírez, I. Santamaría, L. Vielva, in: Proc.\ IEEE Int.\ Work.
    Machine Learning for Signal Process., Finland, 2010.'
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:56:58Z
department:
- _id: '263'
doi: 10.1109/MLSP.2010.5589225
place: Finland
publication: Proc.\ IEEE Int.\ Work. Machine Learning for Signal Process.
status: public
title: Improperness Measures for Quaternion Random Vectors
type: conference
user_id: '43497'
year: '2010'
...
---
_id: '40846'
abstract:
- lang: eng
  text: In this paper we characterize the capacity boundary of the two-user multiple-input
    multiple-output (MIMO) broadcast channel (BC) when the multiantenna terminals
    use analog beamforming at both sides of the link. Basically, the problem reduces
    to finding the optimal transmit direction and the optimal power allocation between
    users to operate at any point on the boundary. We show that both optimization
    problems can be solved in closed form. First, exploiting the fact that any Pareto
    optimal pair of rates must also be Pareto optimal of a convex region defined by
    the channel energies, the optimal transmit direction is shown to be the principal
    eigenvector of a matrix. Second, the optimal power allocation is obtained by exploiting
    again the Pareto optimality of the sought pair of rates. Although this paper focuses
    on the BC, the obtained results also serve to characterize the dual multiple-access
    channel (MAC). Moreover, this explicit characterization of the boundary can be
    extended to a $K$-user system for $K>2$. Numerical examples are provided to illustrate
    the results of the paper, and to show the enlargement of the capacity region achieved
    by analog beamforming in comparison to a single-input single-output (SISO) BC.
author:
- first_name: Ignacio
  full_name: Santamaría, Ignacio
  last_name: Santamaría
- first_name: Javier
  full_name: Vía, Javier
  last_name: Vía
- first_name: Alfredo
  full_name: Nazábal, Alfredo
  last_name: Nazábal
- first_name: Christian
  full_name: Lameiro, Christian
  last_name: Lameiro
citation:
  ama: 'Santamaría I, Vía J, Nazábal A, Lameiro C. Capacity region of the multiantenna
    Gaussian broadcast channel with analog TX-RX beamforming. In: <i>Proc. Int. ICST
    Conf. Comm. and Networking in China</i>. ; 2010.'
  apa: Santamaría, I., Vía, J., Nazábal, A., &#38; Lameiro, C. (2010). Capacity region
    of the multiantenna Gaussian broadcast channel with analog TX-RX beamforming.
    <i>Proc. Int. ICST Conf. Comm. and Networking in China</i>.
  bibtex: '@inproceedings{Santamaría_Vía_Nazábal_Lameiro_2010, place={Beijing, China},
    title={Capacity region of the multiantenna Gaussian broadcast channel with analog
    TX-RX beamforming}, booktitle={Proc. Int. ICST Conf. Comm. and Networking in China},
    author={Santamaría, Ignacio and Vía, Javier and Nazábal, Alfredo and Lameiro,
    Christian}, year={2010} }'
  chicago: Santamaría, Ignacio, Javier Vía, Alfredo Nazábal, and Christian Lameiro.
    “Capacity Region of the Multiantenna Gaussian Broadcast Channel with Analog TX-RX
    Beamforming.” In <i>Proc. Int. ICST Conf. Comm. and Networking in China</i>. Beijing,
    China, 2010.
  ieee: I. Santamaría, J. Vía, A. Nazábal, and C. Lameiro, “Capacity region of the
    multiantenna Gaussian broadcast channel with analog TX-RX beamforming,” 2010.
  mla: Santamaría, Ignacio, et al. “Capacity Region of the Multiantenna Gaussian Broadcast
    Channel with Analog TX-RX Beamforming.” <i>Proc. Int. ICST Conf. Comm. and Networking
    in China</i>, 2010.
  short: 'I. Santamaría, J. Vía, A. Nazábal, C. Lameiro, in: Proc. Int. ICST Conf.
    Comm. and Networking in China, Beijing, China, 2010.'
date_created: 2023-01-30T11:52:01Z
date_updated: 2023-01-30T11:56:55Z
department:
- _id: '263'
place: Beijing, China
publication: Proc. Int. ICST Conf. Comm. and Networking in China
status: public
title: Capacity region of the multiantenna Gaussian broadcast channel with analog
  TX-RX beamforming
type: conference
user_id: '43497'
year: '2010'
...
---
_id: '40857'
abstract:
- lang: eng
  text: We provide a review of independent component analysis (ICA) for complex-valued
    improper and noncircular random sources. An improper random signal is correlated
    with its complex conjugate, and a noncircular random signal has a rotationally
    variant probability distribution. We present methods for ICA using second-order
    statistics, and higher-order statistics. For ICA based on second-order statistics,
    we emphasize the key role played by the circularity coefficients, which are the
    canonical correlations between the source and the complex conjugate. For ICA based
    on higher-order statistics, we show how to extend algorithms for real-valued ICA
    to the complex domain using Wirtinger calculus.
author:
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
- first_name: Tülay
  full_name: Adali, Tülay
  last_name: Adali
- first_name: Louis L.
  full_name: Scharf, Louis L.
  last_name: Scharf
citation:
  ama: 'Schreier PJ, Adali T, Scharf LL. On ICA of improper and noncircular sources.
    In: <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.</i> ; 2009:3561–3564.
    doi:<a href="https://doi.org/10.1109/ICASSP.2009.4960395">10.1109/ICASSP.2009.4960395</a>'
  apa: Schreier, P. J., Adali, T., &#38; Scharf, L. L. (2009). On ICA of improper
    and noncircular sources. <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal
    Process.</i>, 3561–3564. <a href="https://doi.org/10.1109/ICASSP.2009.4960395">https://doi.org/10.1109/ICASSP.2009.4960395</a>
  bibtex: '@inproceedings{Schreier_Adali_Scharf_2009, title={On ICA of improper and
    noncircular sources}, DOI={<a href="https://doi.org/10.1109/ICASSP.2009.4960395">10.1109/ICASSP.2009.4960395</a>},
    booktitle={Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.}, author={Schreier,
    Peter J. and Adali, Tülay and Scharf, Louis L.}, year={2009}, pages={3561–3564}
    }'
  chicago: Schreier, Peter J., Tülay Adali, and Louis L. Scharf. “On ICA of Improper
    and Noncircular Sources.” In <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and
    Signal Process.</i>, 3561–3564, 2009. <a href="https://doi.org/10.1109/ICASSP.2009.4960395">https://doi.org/10.1109/ICASSP.2009.4960395</a>.
  ieee: 'P. J. Schreier, T. Adali, and L. L. Scharf, “On ICA of improper and noncircular
    sources,” in <i>Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.</i>,
    2009, pp. 3561–3564, doi: <a href="https://doi.org/10.1109/ICASSP.2009.4960395">10.1109/ICASSP.2009.4960395</a>.'
  mla: Schreier, Peter J., et al. “On ICA of Improper and Noncircular Sources.” <i>Proc.\
    IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.</i>, 2009, pp. 3561–3564,
    doi:<a href="https://doi.org/10.1109/ICASSP.2009.4960395">10.1109/ICASSP.2009.4960395</a>.
  short: 'P.J. Schreier, T. Adali, L.L. Scharf, in: Proc.\ IEEE Int.\ Conf.\ Acoustics,
    Speech and Signal Process., 2009, pp. 3561–3564.'
date_created: 2023-01-30T11:52:02Z
date_updated: 2023-01-30T11:55:45Z
department:
- _id: '263'
doi: 10.1109/ICASSP.2009.4960395
page: 3561–3564
publication: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.
status: public
title: On ICA of improper and noncircular sources
type: conference
user_id: '43497'
year: '2009'
...
---
_id: '40851'
author:
- first_name: Patrik
  full_name: Wahlberg, Patrik
  last_name: Wahlberg
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
citation:
  ama: Wahlberg P, Schreier PJ. Gabor discretization of the Weyl product for modulation
    spaces and filtering of nonstationary stochastic processes. <i>Appl\ Comput\ Harmon\
    Anal</i>. 2009;26(1):97–120. doi:<a href="https://doi.org/10.1016/j.acha.2008.02.005">10.1016/j.acha.2008.02.005</a>
  apa: Wahlberg, P., &#38; Schreier, P. J. (2009). Gabor discretization of the Weyl
    product for modulation spaces and filtering of nonstationary stochastic processes.
    <i>Appl.\ Comput.\ Harmon.\ Anal.</i>, <i>26</i>(1), 97–120. <a href="https://doi.org/10.1016/j.acha.2008.02.005">https://doi.org/10.1016/j.acha.2008.02.005</a>
  bibtex: '@article{Wahlberg_Schreier_2009, title={Gabor discretization of the Weyl
    product for modulation spaces and filtering of nonstationary stochastic processes},
    volume={26}, DOI={<a href="https://doi.org/10.1016/j.acha.2008.02.005">10.1016/j.acha.2008.02.005</a>},
    number={1}, journal={Appl.\ Comput.\ Harmon.\ Anal.}, author={Wahlberg, Patrik
    and Schreier, Peter J.}, year={2009}, pages={97–120} }'
  chicago: 'Wahlberg, Patrik, and Peter J. Schreier. “Gabor Discretization of the
    Weyl Product for Modulation Spaces and Filtering of Nonstationary Stochastic Processes.”
    <i>Appl.\ Comput.\ Harmon.\ Anal.</i> 26, no. 1 (2009): 97–120. <a href="https://doi.org/10.1016/j.acha.2008.02.005">https://doi.org/10.1016/j.acha.2008.02.005</a>.'
  ieee: 'P. Wahlberg and P. J. Schreier, “Gabor discretization of the Weyl product
    for modulation spaces and filtering of nonstationary stochastic processes,” <i>Appl.\
    Comput.\ Harmon.\ Anal.</i>, vol. 26, no. 1, pp. 97–120, 2009, doi: <a href="https://doi.org/10.1016/j.acha.2008.02.005">10.1016/j.acha.2008.02.005</a>.'
  mla: Wahlberg, Patrik, and Peter J. Schreier. “Gabor Discretization of the Weyl
    Product for Modulation Spaces and Filtering of Nonstationary Stochastic Processes.”
    <i>Appl.\ Comput.\ Harmon.\ Anal.</i>, vol. 26, no. 1, 2009, pp. 97–120, doi:<a
    href="https://doi.org/10.1016/j.acha.2008.02.005">10.1016/j.acha.2008.02.005</a>.
  short: P. Wahlberg, P.J. Schreier, Appl.\ Comput.\ Harmon.\ Anal. 26 (2009) 97–120.
date_created: 2023-01-30T11:52:02Z
date_updated: 2023-01-30T11:55:43Z
department:
- _id: '263'
doi: 10.1016/j.acha.2008.02.005
intvolume: '        26'
issue: '1'
page: 97–120
publication: Appl.\ Comput.\ Harmon.\ Anal.
status: public
title: Gabor discretization of the Weyl product for modulation spaces and filtering
  of nonstationary stochastic processes
type: journal_article
user_id: '43497'
volume: 26
year: '2009'
...
