---
_id: '39360'
author:
- first_name: Alexander
  full_name: Krupp, Alexander
  last_name: Krupp
- first_name: Wolfgang
  full_name: Müller, Wolfgang
  id: '16243'
  last_name: Müller
citation:
  ama: Krupp A, Müller W. Formale Verfeinerung und Modelchecking von zeitbehafteten
    endlichen Automaten. Published online 2003.
  apa: Krupp, A., &#38; Müller, W. (2003). <i>Formale Verfeinerung und Modelchecking
    von zeitbehafteten endlichen Automaten</i>.
  bibtex: '@article{Krupp_Müller_2003, place={Bremen}, series={Methoden und Beschreibungssprachen
    zur Modellierung und Verifikation von Schaltungen und Systemen (MBMV)}, title={Formale
    Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten}, author={Krupp,
    Alexander and Müller, Wolfgang}, year={2003}, collection={Methoden und Beschreibungssprachen
    zur Modellierung und Verifikation von Schaltungen und Systemen (MBMV)} }'
  chicago: Krupp, Alexander, and Wolfgang Müller. “Formale Verfeinerung Und Modelchecking
    von Zeitbehafteten Endlichen Automaten.” Methoden Und Beschreibungssprachen Zur
    Modellierung Und Verifikation von Schaltungen Und Systemen (MBMV). Bremen, 2003.
  ieee: A. Krupp and W. Müller, “Formale Verfeinerung und Modelchecking von zeitbehafteten
    endlichen Automaten.” Bremen, 2003.
  mla: Krupp, Alexander, and Wolfgang Müller. <i>Formale Verfeinerung Und Modelchecking
    von Zeitbehafteten Endlichen Automaten</i>. 2003.
  short: A. Krupp, W. Müller, (2003).
date_created: 2023-01-24T09:36:32Z
date_updated: 2023-01-24T09:36:37Z
department:
- _id: '672'
language:
- iso: eng
place: Bremen
series_title: Methoden und Beschreibungssprachen zur Modellierung und Verifikation
  von Schaltungen und Systemen (MBMV)
status: public
title: Formale Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten
type: conference
user_id: '5786'
year: '2003'
...
---
_id: '39368'
author:
- first_name: Alexander
  full_name: Krupp, Alexander
  last_name: Krupp
- first_name: Wolfgang
  full_name: Müller, Wolfgang
  id: '16243'
  last_name: Müller
citation:
  ama: 'Krupp A, Müller W. Combining Formal Refinement and Model Checking for Analysis
    of Realtime Systems. In: <i>Proceedings of FDL’03</i>. ; 2003.'
  apa: Krupp, A., &#38; Müller, W. (2003). Combining Formal Refinement and Model Checking
    for Analysis of Realtime Systems. <i>Proceedings of FDL’03</i>.
  bibtex: '@inproceedings{Krupp_Müller_2003, place={Frankfurt, Germany}, title={Combining
    Formal Refinement and Model Checking for Analysis of Realtime Systems}, booktitle={Proceedings
    of FDL’03}, author={Krupp, Alexander and Müller, Wolfgang}, year={2003} }'
  chicago: Krupp, Alexander, and Wolfgang Müller. “Combining Formal Refinement and
    Model Checking for Analysis of Realtime Systems.” In <i>Proceedings of FDL’03</i>.
    Frankfurt, Germany, 2003.
  ieee: A. Krupp and W. Müller, “Combining Formal Refinement and Model Checking for
    Analysis of Realtime Systems,” 2003.
  mla: Krupp, Alexander, and Wolfgang Müller. “Combining Formal Refinement and Model
    Checking for Analysis of Realtime Systems.” <i>Proceedings of FDL’03</i>, 2003.
  short: 'A. Krupp, W. Müller, in: Proceedings of FDL’03, Frankfurt, Germany, 2003.'
date_created: 2023-01-24T09:53:01Z
date_updated: 2023-01-24T09:53:06Z
department:
- _id: '672'
language:
- iso: eng
place: Frankfurt, Germany
publication: Proceedings of FDL'03
status: public
title: Combining Formal Refinement and Model Checking for Analysis of Realtime Systems
type: conference
user_id: '5786'
year: '2003'
...
---
_id: '39369'
abstract:
- lang: eng
  text: The latest OCL 2.0 proposal provides two semantic descriptions, i.e., a metamodel
    based semantics that uses UML itself to associate the semantic domain with the
    language concepts and a formal semantics based on a set-theoretic approach called
    object model. Unfortunately, these two semantics are currently neither consistent
    nor complete, as (a) the formal semantics does not consider the newly introduced
    concept of OCL messages and (b) both semantics lack an integration of Statecharts
    and a semantic denition of state-related operations. This article focuses on a
    formal semantics for OCL messages as a foundation for consistency among,the two
    OCL semantics. We extend object models and present an extended denition of a system
    state that comprises all relevant information to be able to evaluate OCL expressions
    also w.r.t. OCL messages.
author:
- first_name: Stephan
  full_name: Flake, Stephan
  last_name: Flake
- first_name: Wolfgang
  full_name: Müller, Wolfgang
  id: '16243'
  last_name: Müller
citation:
  ama: 'Flake S, Müller W. Formal Semantics of OCL Messages. In: <i>Proceedings of
    the Workshop OCL 2.0 at UML 2003</i>. ; 2003.'
  apa: Flake, S., &#38; Müller, W. (2003). Formal Semantics of OCL Messages. <i>Proceedings
    of the Workshop OCL 2.0 at UML 2003</i>.
  bibtex: '@inproceedings{Flake_Müller_2003, place={San Francisco, USA}, title={Formal
    Semantics of OCL Messages}, booktitle={Proceedings of the Workshop OCL 2.0 at
    UML 2003}, author={Flake, Stephan and Müller, Wolfgang}, year={2003} }'
  chicago: Flake, Stephan, and Wolfgang Müller. “Formal Semantics of OCL Messages.”
    In <i>Proceedings of the Workshop OCL 2.0 at UML 2003</i>. San Francisco, USA,
    2003.
  ieee: S. Flake and W. Müller, “Formal Semantics of OCL Messages,” 2003.
  mla: Flake, Stephan, and Wolfgang Müller. “Formal Semantics of OCL Messages.” <i>Proceedings
    of the Workshop OCL 2.0 at UML 2003</i>, 2003.
  short: 'S. Flake, W. Müller, in: Proceedings of the Workshop OCL 2.0 at UML 2003,
    San Francisco, USA, 2003.'
date_created: 2023-01-24T09:54:09Z
date_updated: 2023-01-24T09:54:24Z
department:
- _id: '672'
language:
- iso: eng
place: San Francisco, USA
publication: Proceedings of the Workshop OCL 2.0 at UML 2003
status: public
title: Formal Semantics of OCL Messages
type: conference
user_id: '5786'
year: '2003'
...
---
_id: '38422'
author:
- first_name: B
  full_name: Milivojevic, B
  last_name: Milivojevic
- first_name: D
  full_name: Sandel, D
  last_name: Sandel
- first_name: S
  full_name: Bhandare, S
  last_name: Bhandare
- first_name: Reinhold
  full_name: Noé, Reinhold
  id: '381'
  last_name: Noé
  orcid: https://orcid.org/0000-0002-5839-7616
- first_name: F
  full_name: Wust, F
  last_name: Wust
citation:
  ama: Milivojevic B, Sandel D, Bhandare S, Noé R, Wust F. 40 Gbit/s CSRZ-DPSK transmission
    system with signed online chromatic dispersion detection. <i>ELECTRONICS LETTERS</i>.
    2003;39(20):1455-1456. doi:<a href="https://doi.org/10.1049/el:20030933">10.1049/el:20030933</a>
  apa: Milivojevic, B., Sandel, D., Bhandare, S., Noé, R., &#38; Wust, F. (2003).
    40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion
    detection. <i>ELECTRONICS LETTERS</i>, <i>39</i>(20), 1455–1456. <a href="https://doi.org/10.1049/el:20030933">https://doi.org/10.1049/el:20030933</a>
  bibtex: '@article{Milivojevic_Sandel_Bhandare_Noé_Wust_2003, title={40 Gbit/s CSRZ-DPSK
    transmission system with signed online chromatic dispersion detection}, volume={39},
    DOI={<a href="https://doi.org/10.1049/el:20030933">10.1049/el:20030933</a>}, number={20},
    journal={ELECTRONICS LETTERS}, author={Milivojevic, B and Sandel, D and Bhandare,
    S and Noé, Reinhold and Wust, F}, year={2003}, pages={1455–1456} }'
  chicago: 'Milivojevic, B, D Sandel, S Bhandare, Reinhold Noé, and F Wust. “40 Gbit/s
    CSRZ-DPSK Transmission System with Signed Online Chromatic Dispersion Detection.”
    <i>ELECTRONICS LETTERS</i> 39, no. 20 (2003): 1455–56. <a href="https://doi.org/10.1049/el:20030933">https://doi.org/10.1049/el:20030933</a>.'
  ieee: 'B. Milivojevic, D. Sandel, S. Bhandare, R. Noé, and F. Wust, “40 Gbit/s CSRZ-DPSK
    transmission system with signed online chromatic dispersion detection,” <i>ELECTRONICS
    LETTERS</i>, vol. 39, no. 20, pp. 1455–1456, 2003, doi: <a href="https://doi.org/10.1049/el:20030933">10.1049/el:20030933</a>.'
  mla: Milivojevic, B., et al. “40 Gbit/s CSRZ-DPSK Transmission System with Signed
    Online Chromatic Dispersion Detection.” <i>ELECTRONICS LETTERS</i>, vol. 39, no.
    20, 2003, pp. 1455–56, doi:<a href="https://doi.org/10.1049/el:20030933">10.1049/el:20030933</a>.
  short: B. Milivojevic, D. Sandel, S. Bhandare, R. Noé, F. Wust, ELECTRONICS LETTERS
    39 (2003) 1455–1456.
date_created: 2023-01-23T18:21:58Z
date_updated: 2023-01-25T15:49:23Z
department:
- _id: '56'
doi: 10.1049/el:20030933
intvolume: '        39'
issue: '20'
language:
- iso: eng
page: 1455-1456
publication: ELECTRONICS LETTERS
publication_identifier:
  issn:
  - 0013-5194
status: public
title: 40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion
  detection
type: journal_article
user_id: '14931'
volume: 39
year: '2003'
...
---
_id: '38388'
author:
- first_name: D
  full_name: Sandel, D
  last_name: Sandel
- first_name: V
  full_name: Mirvocla, V
  last_name: Mirvocla
- first_name: F
  full_name: Wust, F
  last_name: Wust
- first_name: Reinhold
  full_name: Noé, Reinhold
  id: '381'
  last_name: Noé
  orcid: https://orcid.org/0000-0002-5839-7616
citation:
  ama: Sandel D, Mirvocla V, Wust F, Noé R. Robust, signed, online chromatic dispersion
    detection in a 40-Gbit/s optical transmission link. <i>ELECTRICAL ENGINEERING</i>.
    2003;85(1):41-44. doi:<a href="https://doi.org/10.1007/S00202-002-0138-2">10.1007/S00202-002-0138-2</a>
  apa: Sandel, D., Mirvocla, V., Wust, F., &#38; Noé, R. (2003). Robust, signed, online
    chromatic dispersion detection in a 40-Gbit/s optical transmission link. <i>ELECTRICAL
    ENGINEERING</i>, <i>85</i>(1), 41–44. <a href="https://doi.org/10.1007/S00202-002-0138-2">https://doi.org/10.1007/S00202-002-0138-2</a>
  bibtex: '@article{Sandel_Mirvocla_Wust_Noé_2003, title={Robust, signed, online chromatic
    dispersion detection in a 40-Gbit/s optical transmission link}, volume={85}, DOI={<a
    href="https://doi.org/10.1007/S00202-002-0138-2">10.1007/S00202-002-0138-2</a>},
    number={1}, journal={ELECTRICAL ENGINEERING}, author={Sandel, D and Mirvocla,
    V and Wust, F and Noé, Reinhold}, year={2003}, pages={41–44} }'
  chicago: 'Sandel, D, V Mirvocla, F Wust, and Reinhold Noé. “Robust, Signed, Online
    Chromatic Dispersion Detection in a 40-Gbit/s Optical Transmission Link.” <i>ELECTRICAL
    ENGINEERING</i> 85, no. 1 (2003): 41–44. <a href="https://doi.org/10.1007/S00202-002-0138-2">https://doi.org/10.1007/S00202-002-0138-2</a>.'
  ieee: 'D. Sandel, V. Mirvocla, F. Wust, and R. Noé, “Robust, signed, online chromatic
    dispersion detection in a 40-Gbit/s optical transmission link,” <i>ELECTRICAL
    ENGINEERING</i>, vol. 85, no. 1, pp. 41–44, 2003, doi: <a href="https://doi.org/10.1007/S00202-002-0138-2">10.1007/S00202-002-0138-2</a>.'
  mla: Sandel, D., et al. “Robust, Signed, Online Chromatic Dispersion Detection in
    a 40-Gbit/s Optical Transmission Link.” <i>ELECTRICAL ENGINEERING</i>, vol. 85,
    no. 1, 2003, pp. 41–44, doi:<a href="https://doi.org/10.1007/S00202-002-0138-2">10.1007/S00202-002-0138-2</a>.
  short: D. Sandel, V. Mirvocla, F. Wust, R. Noé, ELECTRICAL ENGINEERING 85 (2003)
    41–44.
date_created: 2023-01-23T18:21:53Z
date_updated: 2023-01-25T16:02:25Z
department:
- _id: '56'
doi: 10.1007/S00202-002-0138-2
intvolume: '        85'
issue: '1'
language:
- iso: eng
page: 41-44
publication: ELECTRICAL ENGINEERING
publication_identifier:
  issn:
  - 0948-7921
status: public
title: Robust, signed, online chromatic dispersion detection in a 40-Gbit/s optical
  transmission link
type: journal_article
user_id: '14931'
volume: 85
year: '2003'
...
---
_id: '38375'
author:
- first_name: S
  full_name: Bhandare, S
  last_name: Bhandare
- first_name: D
  full_name: Sandel, D
  last_name: Sandel
- first_name: Reinhold
  full_name: Noé, Reinhold
  id: '381'
  last_name: Noé
  orcid: https://orcid.org/0000-0002-5839-7616
- first_name: R
  full_name: Ricken, R
  last_name: Ricken
- first_name: H
  full_name: Suche, H
  last_name: Suche
- first_name: W
  full_name: Sohler, W
  last_name: Sohler
citation:
  ama: Bhandare S, Sandel D, Noé R, Ricken R, Suche H, Sohler W. LiNbO3-based integrated
    optical network analyser for vectorial structure characterisation of fibre Bragg
    gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>. 2003;150(6):490-494.
    doi:<a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>
  apa: Bhandare, S., Sandel, D., Noé, R., Ricken, R., Suche, H., &#38; Sohler, W.
    (2003). LiNbO3-based integrated optical network analyser for vectorial structure
    characterisation of fibre Bragg gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES
    AND SYSTEMS</i>, <i>150</i>(6), 490–494. <a href="https://doi.org/10.1049/ip-cds:20030762">https://doi.org/10.1049/ip-cds:20030762</a>
  bibtex: '@article{Bhandare_Sandel_Noé_Ricken_Suche_Sohler_2003, title={LiNbO3-based
    integrated optical network analyser for vectorial structure characterisation of
    fibre Bragg gratings}, volume={150}, DOI={<a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>},
    number={6}, journal={IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS}, author={Bhandare,
    S and Sandel, D and Noé, Reinhold and Ricken, R and Suche, H and Sohler, W}, year={2003},
    pages={490–494} }'
  chicago: 'Bhandare, S, D Sandel, Reinhold Noé, R Ricken, H Suche, and W Sohler.
    “LiNbO3-Based Integrated Optical Network Analyser for Vectorial Structure Characterisation
    of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>
    150, no. 6 (2003): 490–94. <a href="https://doi.org/10.1049/ip-cds:20030762">https://doi.org/10.1049/ip-cds:20030762</a>.'
  ieee: 'S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, and W. Sohler, “LiNbO3-based
    integrated optical network analyser for vectorial structure characterisation of
    fibre Bragg gratings,” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, vol.
    150, no. 6, pp. 490–494, 2003, doi: <a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>.'
  mla: Bhandare, S., et al. “LiNbO3-Based Integrated Optical Network Analyser for
    Vectorial Structure Characterisation of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS
    DEVICES AND SYSTEMS</i>, vol. 150, no. 6, 2003, pp. 490–94, doi:<a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>.
  short: S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, W. Sohler, IEE PROCEEDINGS-CIRCUITS
    DEVICES AND SYSTEMS 150 (2003) 490–494.
date_created: 2023-01-23T18:17:46Z
date_updated: 2023-01-25T16:19:11Z
department:
- _id: '56'
doi: 10.1049/ip-cds:20030762
intvolume: '       150'
issue: '6'
language:
- iso: eng
page: 490-494
publication: IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS
publication_identifier:
  issn:
  - 1350-2409
status: public
title: LiNbO3-based integrated optical network analyser for vectorial structure characterisation
  of fibre Bragg gratings
type: journal_article
user_id: '14931'
volume: 150
year: '2003'
...
---
_id: '38358'
author:
- first_name: D
  full_name: Sandel, D
  last_name: Sandel
- first_name: V
  full_name: Mirvoda, V
  last_name: Mirvoda
- first_name: S
  full_name: Bhandare, S
  last_name: Bhandare
- first_name: F
  full_name: Wust, F
  last_name: Wust
- first_name: Reinhold
  full_name: Noé, Reinhold
  id: '381'
  last_name: Noé
  orcid: https://orcid.org/0000-0002-5839-7616
citation:
  ama: Sandel D, Mirvoda V, Bhandare S, Wust F, Noé R. Some enabling techniques for
    polarization mode dispersion compensation. <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>.
    2003;21(5):1198-1210. doi:<a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>
  apa: Sandel, D., Mirvoda, V., Bhandare, S., Wust, F., &#38; Noé, R. (2003). Some
    enabling techniques for polarization mode dispersion compensation. <i>JOURNAL
    OF LIGHTWAVE TECHNOLOGY</i>, <i>21</i>(5), 1198–1210. <a href="https://doi.org/10.1109/JLT.2003.811563">https://doi.org/10.1109/JLT.2003.811563</a>
  bibtex: '@article{Sandel_Mirvoda_Bhandare_Wust_Noé_2003, title={Some enabling techniques
    for polarization mode dispersion compensation}, volume={21}, DOI={<a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>},
    number={5}, journal={JOURNAL OF LIGHTWAVE TECHNOLOGY}, author={Sandel, D and Mirvoda,
    V and Bhandare, S and Wust, F and Noé, Reinhold}, year={2003}, pages={1198–1210}
    }'
  chicago: 'Sandel, D, V Mirvoda, S Bhandare, F Wust, and Reinhold Noé. “Some Enabling
    Techniques for Polarization Mode Dispersion Compensation.” <i>JOURNAL OF LIGHTWAVE
    TECHNOLOGY</i> 21, no. 5 (2003): 1198–1210. <a href="https://doi.org/10.1109/JLT.2003.811563">https://doi.org/10.1109/JLT.2003.811563</a>.'
  ieee: 'D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, and R. Noé, “Some enabling techniques
    for polarization mode dispersion compensation,” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>,
    vol. 21, no. 5, pp. 1198–1210, 2003, doi: <a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>.'
  mla: Sandel, D., et al. “Some Enabling Techniques for Polarization Mode Dispersion
    Compensation.” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, vol. 21, no. 5, 2003, pp.
    1198–210, doi:<a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>.
  short: D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, R. Noé, JOURNAL OF LIGHTWAVE
    TECHNOLOGY 21 (2003) 1198–1210.
date_created: 2023-01-23T18:15:55Z
date_updated: 2023-01-25T21:59:05Z
department:
- _id: '56'
doi: 10.1109/JLT.2003.811563
intvolume: '        21'
issue: '5'
language:
- iso: eng
page: 1198-1210
publication: JOURNAL OF LIGHTWAVE TECHNOLOGY
publication_identifier:
  issn:
  - 0733-8724
status: public
title: Some enabling techniques for polarization mode dispersion compensation
type: journal_article
user_id: '14931'
volume: 21
year: '2003'
...
---
_id: '38325'
author:
- first_name: S
  full_name: Bhandare, S
  last_name: Bhandare
- first_name: D
  full_name: Sandel, D
  last_name: Sandel
- first_name: Reinhold
  full_name: Noé, Reinhold
  id: '381'
  last_name: Noé
  orcid: https://orcid.org/0000-0002-5839-7616
- first_name: R
  full_name: Ricken, R
  last_name: Ricken
- first_name: H
  full_name: Suche, H
  last_name: Suche
- first_name: W
  full_name: Sohler, W
  last_name: Sohler
citation:
  ama: Bhandare S, Sandel D, Noé R, Ricken R, Suche H, Sohler W. LiNbO3-based integrated
    optical network analyser for vectorial structure characterisation of fibre Bragg
    gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>. 2003;150(6):490-494.
    doi:<a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>
  apa: Bhandare, S., Sandel, D., Noé, R., Ricken, R., Suche, H., &#38; Sohler, W.
    (2003). LiNbO3-based integrated optical network analyser for vectorial structure
    characterisation of fibre Bragg gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES
    AND SYSTEMS</i>, <i>150</i>(6), 490–494. <a href="https://doi.org/10.1049/ip-cds:20030762">https://doi.org/10.1049/ip-cds:20030762</a>
  bibtex: '@article{Bhandare_Sandel_Noé_Ricken_Suche_Sohler_2003, title={LiNbO3-based
    integrated optical network analyser for vectorial structure characterisation of
    fibre Bragg gratings}, volume={150}, DOI={<a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>},
    number={6}, journal={IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS}, author={Bhandare,
    S and Sandel, D and Noé, Reinhold and Ricken, R and Suche, H and Sohler, W}, year={2003},
    pages={490–494} }'
  chicago: 'Bhandare, S, D Sandel, Reinhold Noé, R Ricken, H Suche, and W Sohler.
    “LiNbO3-Based Integrated Optical Network Analyser for Vectorial Structure Characterisation
    of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>
    150, no. 6 (2003): 490–94. <a href="https://doi.org/10.1049/ip-cds:20030762">https://doi.org/10.1049/ip-cds:20030762</a>.'
  ieee: 'S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, and W. Sohler, “LiNbO3-based
    integrated optical network analyser for vectorial structure characterisation of
    fibre Bragg gratings,” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, vol.
    150, no. 6, pp. 490–494, 2003, doi: <a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>.'
  mla: Bhandare, S., et al. “LiNbO3-Based Integrated Optical Network Analyser for
    Vectorial Structure Characterisation of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS
    DEVICES AND SYSTEMS</i>, vol. 150, no. 6, 2003, pp. 490–94, doi:<a href="https://doi.org/10.1049/ip-cds:20030762">10.1049/ip-cds:20030762</a>.
  short: S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, W. Sohler, IEE PROCEEDINGS-CIRCUITS
    DEVICES AND SYSTEMS 150 (2003) 490–494.
date_created: 2023-01-23T18:11:17Z
date_updated: 2023-01-25T22:27:17Z
department:
- _id: '56'
doi: 10.1049/ip-cds:20030762
intvolume: '       150'
issue: '6'
language:
- iso: eng
page: 490-494
publication: IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS
publication_identifier:
  issn:
  - 1350-2409
status: public
title: LiNbO3-based integrated optical network analyser for vectorial structure characterisation
  of fibre Bragg gratings
type: journal_article
user_id: '14931'
volume: 150
year: '2003'
...
---
_id: '38308'
author:
- first_name: D
  full_name: Sandel, D
  last_name: Sandel
- first_name: V
  full_name: Mirvoda, V
  last_name: Mirvoda
- first_name: S
  full_name: Bhandare, S
  last_name: Bhandare
- first_name: F
  full_name: Wust, F
  last_name: Wust
- first_name: Reinhold
  full_name: Noé, Reinhold
  id: '381'
  last_name: Noé
  orcid: https://orcid.org/0000-0002-5839-7616
citation:
  ama: Sandel D, Mirvoda V, Bhandare S, Wust F, Noé R. Some enabling techniques for
    polarization mode dispersion compensation. <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>.
    2003;21(5):1198-1210. doi:<a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>
  apa: Sandel, D., Mirvoda, V., Bhandare, S., Wust, F., &#38; Noé, R. (2003). Some
    enabling techniques for polarization mode dispersion compensation. <i>JOURNAL
    OF LIGHTWAVE TECHNOLOGY</i>, <i>21</i>(5), 1198–1210. <a href="https://doi.org/10.1109/JLT.2003.811563">https://doi.org/10.1109/JLT.2003.811563</a>
  bibtex: '@article{Sandel_Mirvoda_Bhandare_Wust_Noé_2003, title={Some enabling techniques
    for polarization mode dispersion compensation}, volume={21}, DOI={<a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>},
    number={5}, journal={JOURNAL OF LIGHTWAVE TECHNOLOGY}, author={Sandel, D and Mirvoda,
    V and Bhandare, S and Wust, F and Noé, Reinhold}, year={2003}, pages={1198–1210}
    }'
  chicago: 'Sandel, D, V Mirvoda, S Bhandare, F Wust, and Reinhold Noé. “Some Enabling
    Techniques for Polarization Mode Dispersion Compensation.” <i>JOURNAL OF LIGHTWAVE
    TECHNOLOGY</i> 21, no. 5 (2003): 1198–1210. <a href="https://doi.org/10.1109/JLT.2003.811563">https://doi.org/10.1109/JLT.2003.811563</a>.'
  ieee: 'D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, and R. Noé, “Some enabling techniques
    for polarization mode dispersion compensation,” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>,
    vol. 21, no. 5, pp. 1198–1210, 2003, doi: <a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>.'
  mla: Sandel, D., et al. “Some Enabling Techniques for Polarization Mode Dispersion
    Compensation.” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, vol. 21, no. 5, 2003, pp.
    1198–210, doi:<a href="https://doi.org/10.1109/JLT.2003.811563">10.1109/JLT.2003.811563</a>.
  short: D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, R. Noé, JOURNAL OF LIGHTWAVE
    TECHNOLOGY 21 (2003) 1198–1210.
date_created: 2023-01-23T18:11:14Z
date_updated: 2023-01-25T22:46:53Z
department:
- _id: '56'
doi: 10.1109/JLT.2003.811563
intvolume: '        21'
issue: '5'
language:
- iso: eng
page: 1198-1210
publication: JOURNAL OF LIGHTWAVE TECHNOLOGY
publication_identifier:
  issn:
  - 0733-8724
status: public
title: Some enabling techniques for polarization mode dispersion compensation
type: journal_article
user_id: '14931'
volume: 21
year: '2003'
...
---
_id: '39956'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Dunkl Operators: Theory and Applications. In: <i>Lecture Notes in
    Mathematics</i>. Springer Berlin Heidelberg; 2003:93–135. doi:<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>'
  apa: 'Rösler, M. (2003). Dunkl Operators: Theory and Applications. In <i>Lecture
    Notes in Mathematics</i> (pp. 93–135). Springer Berlin Heidelberg. <a href="https://doi.org/10.1007/3-540-44945-0_3">https://doi.org/10.1007/3-540-44945-0_3</a>'
  bibtex: '@inbook{Rösler_2003, place={Berlin, Heidelberg}, title={Dunkl Operators:
    Theory and Applications}, DOI={<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>},
    booktitle={Lecture Notes in Mathematics}, publisher={Springer Berlin Heidelberg},
    author={Rösler, Margit}, year={2003}, pages={93–135} }'
  chicago: 'Rösler, Margit. “Dunkl Operators: Theory and Applications.” In <i>Lecture
    Notes in Mathematics</i>, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg,
    2003. <a href="https://doi.org/10.1007/3-540-44945-0_3">https://doi.org/10.1007/3-540-44945-0_3</a>.'
  ieee: 'M. Rösler, “Dunkl Operators: Theory and Applications,” in <i>Lecture Notes
    in Mathematics</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp.
    93–135.'
  mla: 'Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes
    in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>.'
  short: 'M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg,
    Berlin, Heidelberg, 2003, pp. 93–135.'
date_created: 2023-01-25T10:09:14Z
date_updated: 2023-01-26T17:44:19Z
department:
- _id: '555'
doi: 10.1007/3-540-44945-0_3
extern: '1'
language:
- iso: eng
page: 93–135
place: Berlin, Heidelberg
publication: Lecture Notes in Mathematics
publication_identifier:
  isbn:
  - '9783540403753'
  - '9783540449454'
  issn:
  - 0075-8434
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: 'Dunkl Operators: Theory and Applications'
type: book_chapter
user_id: '93826'
year: '2003'
...
---
_id: '40903'
abstract:
- lang: eng
  text: Non-stationary complex random signals are in general improper (not circularly
    symmetric), which means that their complementary covariance is non-zero. Since
    the Karhunen-Loeve expansion in its known form is only valid for proper processes,
    we derive the improper version of this expansion. It produces two sets of eigenvalues
    and an improper internal description. We use the Karhunen-Loeve expansion to solve
    the problem of detecting non-stationary improper complex random signals in additive
    white Gaussian noise. Using the deflection criterion we compare the performance
    of conventional processing, which ignores complementary covariances, with processing
    that takes these into account. The performance gain can be as great as a factor
    of 2.
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. The Karhunen-Loève expansion of improper complex random
    signals with applications in detection. In: <i>Proc.\ IEEE Int.\ Conf.\ Acoustics,
    Speech and Signal Process.</i> Vol 6. ; 2003:717–720. doi:<a href="https://doi.org/10.1109/ICASSP.2003.1201782">10.1109/ICASSP.2003.1201782</a>'
  apa: Schreier, P. J., &#38; Scharf, L. L. (2003). The Karhunen-Loève expansion of
    improper complex random signals with applications in detection. <i>Proc.\ IEEE
    Int.\ Conf.\ Acoustics, Speech and Signal Process.</i>, <i>6</i>, 717–720. <a
    href="https://doi.org/10.1109/ICASSP.2003.1201782">https://doi.org/10.1109/ICASSP.2003.1201782</a>
  bibtex: '@inproceedings{Schreier_Scharf_2003, title={The Karhunen-Loève expansion
    of improper complex random signals with applications in detection}, volume={6},
    DOI={<a href="https://doi.org/10.1109/ICASSP.2003.1201782">10.1109/ICASSP.2003.1201782</a>},
    booktitle={Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.}, author={Schreier,
    Peter J. and Scharf, Louis L.}, year={2003}, pages={717–720} }'
  chicago: Schreier, Peter J., and Louis L. Scharf. “The Karhunen-Loève Expansion
    of Improper Complex Random Signals with Applications in Detection.” In <i>Proc.\
    IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.</i>, 6:717–720, 2003.
    <a href="https://doi.org/10.1109/ICASSP.2003.1201782">https://doi.org/10.1109/ICASSP.2003.1201782</a>.
  ieee: 'P. J. Schreier and L. L. Scharf, “The Karhunen-Loève expansion of improper
    complex random signals with applications in detection,” in <i>Proc.\ IEEE Int.\
    Conf.\ Acoustics, Speech and Signal Process.</i>, 2003, vol. 6, pp. 717–720, doi:
    <a href="https://doi.org/10.1109/ICASSP.2003.1201782">10.1109/ICASSP.2003.1201782</a>.'
  mla: Schreier, Peter J., and Louis L. Scharf. “The Karhunen-Loève Expansion of Improper
    Complex Random Signals with Applications in Detection.” <i>Proc.\ IEEE Int.\ Conf.\
    Acoustics, Speech and Signal Process.</i>, vol. 6, 2003, pp. 717–720, doi:<a href="https://doi.org/10.1109/ICASSP.2003.1201782">10.1109/ICASSP.2003.1201782</a>.
  short: 'P.J. Schreier, L.L. Scharf, in: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech
    and Signal Process., 2003, pp. 717–720.'
date_created: 2023-01-30T11:52:09Z
date_updated: 2023-01-30T11:52:42Z
department:
- _id: '263'
doi: 10.1109/ICASSP.2003.1201782
intvolume: '         6'
page: 717–720
publication: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.
status: public
title: The Karhunen-Loève expansion of improper complex random signals with applications
  in detection
type: conference
user_id: '43497'
volume: 6
year: '2003'
...
---
_id: '40900'
abstract:
- lang: eng
  text: In this paper we describe a beamforming algorithm based on widely-linear rather
    than linear data models. Initially, we develop this beamformer by generalizing
    the Capon (MVDR) optimization problem. That is, if the objective is to minimize
    output power while maintaining a specified directional gain, then we show that
    the output power of the widely-linear beamformer is less than or equal to the
    output power of the Capon (MVDR) beamformer. This result is valid regardless of
    the “true” distribution of the data. We also derive the widely-linear beamformer
    by considering beamforming to be an estimation problem. Linear models assume that
    the composite covariance matrix formed from the real and imaginary parts of the
    array-snapshot has a particular structure. This structure is often summarized
    by stating that the covariance formed from the array snapshot and its transpose
    (not Hermitian transpose) is zero. We could also call these data “proper” Gaussian
    vectors. The beamformers in this paper are appropriate for situations in which
    these implicit assumptions are violated.
author:
- first_name: Todd
  full_name: McWhorter, Todd
  last_name: McWhorter
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
citation:
  ama: 'McWhorter T, Schreier PJ. Widely-linear beamforming. In: <i>Proc. 37th\ Asilomar
    Conf.\ Signals Syst.\ Computers</i>. Vol 1. ; 2003:753–759. doi:<a href="https://doi.org/10.1109/ACSSC.2003.1292015">10.1109/ACSSC.2003.1292015</a>'
  apa: McWhorter, T., &#38; Schreier, P. J. (2003). Widely-linear beamforming. <i>Proc.
    37th\ Asilomar Conf.\ Signals Syst.\ Computers</i>, <i>1</i>, 753–759. <a href="https://doi.org/10.1109/ACSSC.2003.1292015">https://doi.org/10.1109/ACSSC.2003.1292015</a>
  bibtex: '@inproceedings{McWhorter_Schreier_2003, title={Widely-linear beamforming},
    volume={1}, DOI={<a href="https://doi.org/10.1109/ACSSC.2003.1292015">10.1109/ACSSC.2003.1292015</a>},
    booktitle={Proc. 37th\ Asilomar Conf.\ Signals Syst.\ Computers}, author={McWhorter,
    Todd and Schreier, Peter J.}, year={2003}, pages={753–759} }'
  chicago: McWhorter, Todd, and Peter J. Schreier. “Widely-Linear Beamforming.” In
    <i>Proc. 37th\ Asilomar Conf.\ Signals Syst.\ Computers</i>, 1:753–759, 2003.
    <a href="https://doi.org/10.1109/ACSSC.2003.1292015">https://doi.org/10.1109/ACSSC.2003.1292015</a>.
  ieee: 'T. McWhorter and P. J. Schreier, “Widely-linear beamforming,” in <i>Proc.
    37th\ Asilomar Conf.\ Signals Syst.\ Computers</i>, 2003, vol. 1, pp. 753–759,
    doi: <a href="https://doi.org/10.1109/ACSSC.2003.1292015">10.1109/ACSSC.2003.1292015</a>.'
  mla: McWhorter, Todd, and Peter J. Schreier. “Widely-Linear Beamforming.” <i>Proc.
    37th\ Asilomar Conf.\ Signals Syst.\ Computers</i>, vol. 1, 2003, pp. 753–759,
    doi:<a href="https://doi.org/10.1109/ACSSC.2003.1292015">10.1109/ACSSC.2003.1292015</a>.
  short: 'T. McWhorter, P.J. Schreier, in: Proc. 37th\ Asilomar Conf.\ Signals Syst.\
    Computers, 2003, pp. 753–759.'
date_created: 2023-01-30T11:52:09Z
date_updated: 2023-01-30T11:52:45Z
department:
- _id: '263'
doi: 10.1109/ACSSC.2003.1292015
intvolume: '         1'
page: 753–759
publication: Proc. 37th\ Asilomar Conf.\ Signals Syst.\ Computers
status: public
title: Widely-linear beamforming
type: conference
user_id: '43497'
volume: 1
year: '2003'
...
---
_id: '40901'
abstract:
- lang: eng
  text: Historically, transform coding of noisy sources has been performed by first
    estimating the message and then quantizing this estimate. We show that it is also
    optimum to first transform the noisy observations into canonical coordinates,
    quantize, apply a Wiener filter in this coordinate system, and then transform
    the result back to the original coordinates. Canonical coordinates are uncorrelated,
    and quantizing and Wiener filtering are applied to each component independently.
    Optimality of this approach can be proved assuming additive white quantization
    noise. Half canonical coordinates minimize the mean-squared error by minimizing
    the trace of the error covariance matrix and full canonical coordinates maximize
    information rate by minimizing the determinant of the error covariance matrix.
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
- first_name: Tianjian
  full_name: Hu, Tianjian
  last_name: Hu
- first_name: Stephen D.
  full_name: Voran, Stephen D.
  last_name: Voran
citation:
  ama: 'Schreier PJ, Scharf LL, Hu T, Voran SD. Canonical coordinates are the right
    coordinate system for transform coding of noisy sources. In: <i>Proc.\ IEEE Works.\
    Statistical Signal Proces.</i> ; 2003:234–237. doi:<a href="https://doi.org/10.1109/SSP.2003.1289387">10.1109/SSP.2003.1289387</a>'
  apa: Schreier, P. J., Scharf, L. L., Hu, T., &#38; Voran, S. D. (2003). Canonical
    coordinates are the right coordinate system for transform coding of noisy sources.
    <i>Proc.\ IEEE Works.\ Statistical Signal Proces.</i>, 234–237. <a href="https://doi.org/10.1109/SSP.2003.1289387">https://doi.org/10.1109/SSP.2003.1289387</a>
  bibtex: '@inproceedings{Schreier_Scharf_Hu_Voran_2003, title={Canonical coordinates
    are the right coordinate system for transform coding of noisy sources}, DOI={<a
    href="https://doi.org/10.1109/SSP.2003.1289387">10.1109/SSP.2003.1289387</a>},
    booktitle={Proc.\ IEEE Works.\ Statistical Signal Proces.}, author={Schreier,
    Peter J. and Scharf, Louis L. and Hu, Tianjian and Voran, Stephen D.}, year={2003},
    pages={234–237} }'
  chicago: Schreier, Peter J., Louis L. Scharf, Tianjian Hu, and Stephen D. Voran.
    “Canonical Coordinates Are the Right Coordinate System for Transform Coding of
    Noisy Sources.” In <i>Proc.\ IEEE Works.\ Statistical Signal Proces.</i>, 234–237,
    2003. <a href="https://doi.org/10.1109/SSP.2003.1289387">https://doi.org/10.1109/SSP.2003.1289387</a>.
  ieee: 'P. J. Schreier, L. L. Scharf, T. Hu, and S. D. Voran, “Canonical coordinates
    are the right coordinate system for transform coding of noisy sources,” in <i>Proc.\
    IEEE Works.\ Statistical Signal Proces.</i>, 2003, pp. 234–237, doi: <a href="https://doi.org/10.1109/SSP.2003.1289387">10.1109/SSP.2003.1289387</a>.'
  mla: Schreier, Peter J., et al. “Canonical Coordinates Are the Right Coordinate
    System for Transform Coding of Noisy Sources.” <i>Proc.\ IEEE Works.\ Statistical
    Signal Proces.</i>, 2003, pp. 234–237, doi:<a href="https://doi.org/10.1109/SSP.2003.1289387">10.1109/SSP.2003.1289387</a>.
  short: 'P.J. Schreier, L.L. Scharf, T. Hu, S.D. Voran, in: Proc.\ IEEE Works.\ Statistical
    Signal Proces., 2003, pp. 234–237.'
date_created: 2023-01-30T11:52:09Z
date_updated: 2023-01-30T11:52:49Z
department:
- _id: '263'
doi: 10.1109/SSP.2003.1289387
page: 234–237
publication: Proc.\ IEEE Works.\ Statistical Signal Proces.
status: public
title: Canonical coordinates are the right coordinate system for transform coding
  of noisy sources
type: conference
user_id: '43497'
year: '2003'
...
---
_id: '40902'
abstract:
- lang: eng
  text: Recently, a number of papers have been published that show significant performance
    gains can be obtained by accounting for the fact that communication signals can
    be improper. In this paper, we derive a general result comparing the performance
    of conventional processing, which ignores the improper nature of signals, with
    processing that takes it into account. In particular, for an estimation and a
    detection problem, we find that the performance gain, as measured by mean-squared
    error and deflection, respectively, can be as large as a factor of 2, but no larger.
    In a communications example, we show how this finding generalizes the result that
    coherent processing enjoys a 3 dB gain over non-coherent processing.
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
- first_name: Clifford T.
  full_name: Mullis, Clifford T.
  last_name: Mullis
citation:
  ama: 'Schreier PJ, Scharf LL, Mullis CT. A unified approach to performance comparisons
    between linear and widely linear processing. In: <i>Proc.\ IEEE Works.\ Statistical
    Signal Proces.</i> ; 2003:114–117. doi:<a href="https://doi.org/10.1109/SSP.2003.1289353">10.1109/SSP.2003.1289353</a>'
  apa: Schreier, P. J., Scharf, L. L., &#38; Mullis, C. T. (2003). A unified approach
    to performance comparisons between linear and widely linear processing. <i>Proc.\
    IEEE Works.\ Statistical Signal Proces.</i>, 114–117. <a href="https://doi.org/10.1109/SSP.2003.1289353">https://doi.org/10.1109/SSP.2003.1289353</a>
  bibtex: '@inproceedings{Schreier_Scharf_Mullis_2003, title={A unified approach to
    performance comparisons between linear and widely linear processing}, DOI={<a
    href="https://doi.org/10.1109/SSP.2003.1289353">10.1109/SSP.2003.1289353</a>},
    booktitle={Proc.\ IEEE Works.\ Statistical Signal Proces.}, author={Schreier,
    Peter J. and Scharf, Louis L. and Mullis, Clifford T.}, year={2003}, pages={114–117}
    }'
  chicago: Schreier, Peter J., Louis L. Scharf, and Clifford T. Mullis. “A Unified
    Approach to Performance Comparisons between Linear and Widely Linear Processing.”
    In <i>Proc.\ IEEE Works.\ Statistical Signal Proces.</i>, 114–117, 2003. <a href="https://doi.org/10.1109/SSP.2003.1289353">https://doi.org/10.1109/SSP.2003.1289353</a>.
  ieee: 'P. J. Schreier, L. L. Scharf, and C. T. Mullis, “A unified approach to performance
    comparisons between linear and widely linear processing,” in <i>Proc.\ IEEE Works.\
    Statistical Signal Proces.</i>, 2003, pp. 114–117, doi: <a href="https://doi.org/10.1109/SSP.2003.1289353">10.1109/SSP.2003.1289353</a>.'
  mla: Schreier, Peter J., et al. “A Unified Approach to Performance Comparisons between
    Linear and Widely Linear Processing.” <i>Proc.\ IEEE Works.\ Statistical Signal
    Proces.</i>, 2003, pp. 114–117, doi:<a href="https://doi.org/10.1109/SSP.2003.1289353">10.1109/SSP.2003.1289353</a>.
  short: 'P.J. Schreier, L.L. Scharf, C.T. Mullis, in: Proc.\ IEEE Works.\ Statistical
    Signal Proces., 2003, pp. 114–117.'
date_created: 2023-01-30T11:52:09Z
date_updated: 2023-01-30T11:52:52Z
department:
- _id: '263'
doi: 10.1109/SSP.2003.1289353
page: 114–117
publication: Proc.\ IEEE Works.\ Statistical Signal Proces.
status: public
title: A unified approach to performance comparisons between linear and widely linear
  processing
type: conference
user_id: '43497'
year: '2003'
...
---
_id: '40899'
abstract:
- lang: eng
  text: We challenge the perception that we live in a “proper world”, where complex
    random signals can always be assumed to be proper (also called circularly symmetric).
    Rather, we stress the fact that the analytic signal constructed from a nonstationary
    real signal is, in general, improper, which means that its complementary correlation
    function is nonzero. We explore the consequences of this finding in the context
    of stochastic time-frequency analysis in Cohen’s class. There, the analytic signal
    plays a prominent role because it reduces interference terms. However, the usual
    time-frequency representation (TFR) based on the analytic signal gives only an
    incomplete signal description. It must be augmented by a complementary TFR whose
    properties we develop in detail. We show why it is still advantageous to use the
    pair of standard and complementary TFRs of the analytic signal rather than the
    TFR of the corresponding real signal.
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. Stochastic time-frequency analysis using the analytic
    signal: why the complementary distribution matters. <i>{IEEE} {T}rans\ {S}ignal\
    {P}rocess</i>. 2003;51(12):3071–3079. doi:<a href="https://doi.org/10.1109/TSP.2003.818911">10.1109/TSP.2003.818911</a>'
  apa: 'Schreier, P. J., &#38; Scharf, L. L. (2003). Stochastic time-frequency analysis
    using the analytic signal: why the complementary distribution matters. <i>{IEEE}
    {T}rans.\ {S}ignal\ {P}rocess.</i>, <i>51</i>(12), 3071–3079. <a href="https://doi.org/10.1109/TSP.2003.818911">https://doi.org/10.1109/TSP.2003.818911</a>'
  bibtex: '@article{Schreier_Scharf_2003, title={Stochastic time-frequency analysis
    using the analytic signal: why the complementary distribution matters}, volume={51},
    DOI={<a href="https://doi.org/10.1109/TSP.2003.818911">10.1109/TSP.2003.818911</a>},
    number={12}, journal={{IEEE} {T}rans.\ {S}ignal\ {P}rocess.}, author={Schreier,
    Peter J. and Scharf, Louis L.}, year={2003}, pages={3071–3079} }'
  chicago: 'Schreier, Peter J., and Louis L. Scharf. “Stochastic Time-Frequency Analysis
    Using the Analytic Signal: Why the Complementary Distribution Matters.” <i>{IEEE}
    {T}rans.\ {S}ignal\ {P}rocess.</i> 51, no. 12 (2003): 3071–3079. <a href="https://doi.org/10.1109/TSP.2003.818911">https://doi.org/10.1109/TSP.2003.818911</a>.'
  ieee: 'P. J. Schreier and L. L. Scharf, “Stochastic time-frequency analysis using
    the analytic signal: why the complementary distribution matters,” <i>{IEEE} {T}rans.\
    {S}ignal\ {P}rocess.</i>, vol. 51, no. 12, pp. 3071–3079, 2003, doi: <a href="https://doi.org/10.1109/TSP.2003.818911">10.1109/TSP.2003.818911</a>.'
  mla: 'Schreier, Peter J., and Louis L. Scharf. “Stochastic Time-Frequency Analysis
    Using the Analytic Signal: Why the Complementary Distribution Matters.” <i>{IEEE}
    {T}rans.\ {S}ignal\ {P}rocess.</i>, vol. 51, no. 12, 2003, pp. 3071–3079, doi:<a
    href="https://doi.org/10.1109/TSP.2003.818911">10.1109/TSP.2003.818911</a>.'
  short: P.J. Schreier, L.L. Scharf, {IEEE} {T}rans.\ {S}ignal\ {P}rocess. 51 (2003)
    3071–3079.
date_created: 2023-01-30T11:52:08Z
date_updated: 2023-01-30T11:54:03Z
department:
- _id: '263'
doi: 10.1109/TSP.2003.818911
intvolume: '        51'
issue: '12'
page: 3071–3079
publication: '{IEEE} {T}rans.\ {S}ignal\ {P}rocess.'
status: public
title: 'Stochastic time-frequency analysis using the analytic signal: why the complementary
  distribution matters'
type: journal_article
user_id: '43497'
volume: 51
year: '2003'
...
---
_id: '39957'
abstract:
- lang: eng
  text: It is an open conjecture that generalized Bessel functions associated with
    root systems have a positive product formula for non-negative multiplicity parameters
    of the associated Dunkl operators. In this paper, a partial result towards this
    conjecture is proven, namely a positive radial product formula for the non-symmetric
    counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby
    means that one of the factors in the product formula is replaced by its mean over
    a sphere. The key to this product formula is a positivity result for the Dunkl-type
    spherical mean operator. It can also be interpreted in the sense that the Dunkl-type
    generalized translation of radial functions is positivity-preserving. As an application,
    we construct Dunkl-type homogeneous Markov processes associated with radial probability
    distributions.
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions
    of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>
  apa: Rösler, M. (2003). A positive radial product formula for the Dunkl kernel.
    <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438.
    <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">https://doi.org/10.48550/ARXIV.MATH/0210137</a>
  bibtex: '@article{Rösler_2003, title={A positive radial product formula for the
    Dunkl kernel}, volume={355}, DOI={<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>},
    number={6}, journal={Transactions of the American Mathematical Society}, publisher={American
    Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438}
    }'
  chicago: 'Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.”
    <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438.
    <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.'
  ieee: 'M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions
    of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003,
    doi: <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>.'
  mla: Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions
    of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical
    Society (AMS), 2003, pp. 2413–2438, doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>.
  short: M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.
date_created: 2023-01-25T10:17:51Z
date_updated: 2023-01-26T17:44:10Z
department:
- _id: '555'
doi: 10.48550/ARXIV.MATH/0210137
extern: '1'
intvolume: '       355'
issue: '6'
language:
- iso: eng
page: 2413–2438
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: A positive radial product formula for the Dunkl kernel
type: journal_article
user_id: '93826'
volume: 355
year: '2003'
...
---
_id: '40904'
abstract:
- lang: eng
  text: We present a comprehensive treatment of the second-order theory of complex
    random vectors and wide-sense stationary (WSS) signals. The main focus is on the
    improper case, in which the complementary covariance does not vanish. Accounting
    for the information present in the complementary covariance requires the use of
    widely linear transformations. Based on these, we present the eigenanalysis of
    complex vectors and apply it to the problem of rank reduction through principal
    components. We also investigate joint properties of two complex vectors by introducing
    canonical correlations, which paves the way for a discussion of the Wiener filter
    and its rank-reduced version. We link the concepts of propriety and joint propriety
    to eigenanalysis and canonical correlation analysis, respectively. Our treatment
    is extended to WSS signals. In particular, we give a result on the asymptotic
    distribution of eigenvalues and examine the connection between WSS, proper, and
    analytic signals.
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. Second-order analysis of improper complex random vectors
    and processes. <i>{IEEE} {T}rans\ {S}ignal\ {P}rocess</i>. 2003;51(3):714–725.
    doi:<a href="https://doi.org/10.1109/TSP.2002.808085">10.1109/TSP.2002.808085</a>
  apa: Schreier, P. J., &#38; Scharf, L. L. (2003). Second-order analysis of improper
    complex random vectors and processes. <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>,
    <i>51</i>(3), 714–725. <a href="https://doi.org/10.1109/TSP.2002.808085">https://doi.org/10.1109/TSP.2002.808085</a>
  bibtex: '@article{Schreier_Scharf_2003, title={Second-order analysis of improper
    complex random vectors and processes}, volume={51}, DOI={<a href="https://doi.org/10.1109/TSP.2002.808085">10.1109/TSP.2002.808085</a>},
    number={3}, journal={{IEEE} {T}rans.\ {S}ignal\ {P}rocess.}, author={Schreier,
    Peter J. and Scharf, Louis L.}, year={2003}, pages={714–725} }'
  chicago: 'Schreier, Peter J., and Louis L. Scharf. “Second-Order Analysis of Improper
    Complex Random Vectors and Processes.” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>
    51, no. 3 (2003): 714–725. <a href="https://doi.org/10.1109/TSP.2002.808085">https://doi.org/10.1109/TSP.2002.808085</a>.'
  ieee: 'P. J. Schreier and L. L. Scharf, “Second-order analysis of improper complex
    random vectors and processes,” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>, vol.
    51, no. 3, pp. 714–725, 2003, doi: <a href="https://doi.org/10.1109/TSP.2002.808085">10.1109/TSP.2002.808085</a>.'
  mla: Schreier, Peter J., and Louis L. Scharf. “Second-Order Analysis of Improper
    Complex Random Vectors and Processes.” <i>{IEEE} {T}rans.\ {S}ignal\ {P}rocess.</i>,
    vol. 51, no. 3, 2003, pp. 714–725, doi:<a href="https://doi.org/10.1109/TSP.2002.808085">10.1109/TSP.2002.808085</a>.
  short: P.J. Schreier, L.L. Scharf, {IEEE} {T}rans.\ {S}ignal\ {P}rocess. 51 (2003)
    714–725.
date_created: 2023-01-30T11:52:09Z
date_updated: 2023-01-30T11:52:55Z
department:
- _id: '263'
doi: 10.1109/TSP.2002.808085
intvolume: '        51'
issue: '3'
page: 714–725
publication: '{IEEE} {T}rans.\ {S}ignal\ {P}rocess.'
status: public
title: Second-order analysis of improper complex random vectors and processes
type: journal_article
user_id: '43497'
volume: 51
year: '2003'
...
---
_id: '34896'
abstract:
- lang: eng
  text: We apply class field theory to the computation of the minimal discriminants
    for certain solvable groups. In particular, we apply our techniques to small Frobenius
    groups and all imprimitive degree 8 groups such that the corresponding fields
    have only a degree 2 and no degree 4 subfield.
author:
- first_name: Claus
  full_name: Fieker, Claus
  last_name: Fieker
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fieker C, Klüners J. Minimal discriminants for fields with small Frobenius
    groups as Galois groups. <i>Journal of Number Theory</i>. 2003;99(2):318-337.
    doi:<a href="https://doi.org/10.1016/s0022-314x(02)00071-9">10.1016/s0022-314x(02)00071-9</a>
  apa: Fieker, C., &#38; Klüners, J. (2003). Minimal discriminants for fields with
    small Frobenius groups as Galois groups. <i>Journal of Number Theory</i>, <i>99</i>(2),
    318–337. <a href="https://doi.org/10.1016/s0022-314x(02)00071-9">https://doi.org/10.1016/s0022-314x(02)00071-9</a>
  bibtex: '@article{Fieker_Klüners_2003, title={Minimal discriminants for fields with
    small Frobenius groups as Galois groups}, volume={99}, DOI={<a href="https://doi.org/10.1016/s0022-314x(02)00071-9">10.1016/s0022-314x(02)00071-9</a>},
    number={2}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Fieker,
    Claus and Klüners, Jürgen}, year={2003}, pages={318–337} }'
  chicago: 'Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with
    Small Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i> 99,
    no. 2 (2003): 318–37. <a href="https://doi.org/10.1016/s0022-314x(02)00071-9">https://doi.org/10.1016/s0022-314x(02)00071-9</a>.'
  ieee: 'C. Fieker and J. Klüners, “Minimal discriminants for fields with small Frobenius
    groups as Galois groups,” <i>Journal of Number Theory</i>, vol. 99, no. 2, pp.
    318–337, 2003, doi: <a href="https://doi.org/10.1016/s0022-314x(02)00071-9">10.1016/s0022-314x(02)00071-9</a>.'
  mla: Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small
    Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i>, vol. 99,
    no. 2, Elsevier BV, 2003, pp. 318–37, doi:<a href="https://doi.org/10.1016/s0022-314x(02)00071-9">10.1016/s0022-314x(02)00071-9</a>.
  short: C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.
date_created: 2022-12-23T09:53:23Z
date_updated: 2023-03-06T09:19:16Z
department:
- _id: '102'
doi: 10.1016/s0022-314x(02)00071-9
intvolume: '        99'
issue: '2'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 318-337
publication: Journal of Number Theory
publication_identifier:
  issn:
  - 0022-314X
publication_status: published
publisher: Elsevier BV
status: public
title: Minimal discriminants for fields with small Frobenius groups as Galois groups
type: journal_article
user_id: '93826'
volume: 99
year: '2003'
...
---
_id: '39887'
author:
- first_name: Ulrich
  full_name: Hilleringmann, Ulrich
  id: '20179'
  last_name: Hilleringmann
- first_name: T.
  full_name: Vieregge, T.
  last_name: Vieregge
- first_name: J.T.
  full_name: Horstmann, J.T.
  last_name: Horstmann
citation:
  ama: 'Hilleringmann U, Vieregge T, Horstmann JT. Masking and etching of silicon
    and related materials for geometries down to 25 nm. In: <i>IECON’99. Conference
    Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society
    (Cat. No.99CH37029)</i>. IEEE; 2003. doi:<a href="https://doi.org/10.1109/iecon.1999.822171">10.1109/iecon.1999.822171</a>'
  apa: Hilleringmann, U., Vieregge, T., &#38; Horstmann, J. T. (2003). Masking and
    etching of silicon and related materials for geometries down to 25 nm. <i>IECON’99.
    Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics
    Society (Cat. No.99CH37029)</i>. <a href="https://doi.org/10.1109/iecon.1999.822171">https://doi.org/10.1109/iecon.1999.822171</a>
  bibtex: '@inproceedings{Hilleringmann_Vieregge_Horstmann_2003, title={Masking and
    etching of silicon and related materials for geometries down to 25 nm}, DOI={<a
    href="https://doi.org/10.1109/iecon.1999.822171">10.1109/iecon.1999.822171</a>},
    booktitle={IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE
    Industrial Electronics Society (Cat. No.99CH37029)}, publisher={IEEE}, author={Hilleringmann,
    Ulrich and Vieregge, T. and Horstmann, J.T.}, year={2003} }'
  chicago: Hilleringmann, Ulrich, T. Vieregge, and J.T. Horstmann. “Masking and Etching
    of Silicon and Related Materials for Geometries down to 25 Nm.” In <i>IECON’99.
    Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics
    Society (Cat. No.99CH37029)</i>. IEEE, 2003. <a href="https://doi.org/10.1109/iecon.1999.822171">https://doi.org/10.1109/iecon.1999.822171</a>.
  ieee: 'U. Hilleringmann, T. Vieregge, and J. T. Horstmann, “Masking and etching
    of silicon and related materials for geometries down to 25 nm,” 2003, doi: <a
    href="https://doi.org/10.1109/iecon.1999.822171">10.1109/iecon.1999.822171</a>.'
  mla: Hilleringmann, Ulrich, et al. “Masking and Etching of Silicon and Related Materials
    for Geometries down to 25 Nm.” <i>IECON’99. Conference Proceedings. 25th Annual
    Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>,
    IEEE, 2003, doi:<a href="https://doi.org/10.1109/iecon.1999.822171">10.1109/iecon.1999.822171</a>.
  short: 'U. Hilleringmann, T. Vieregge, J.T. Horstmann, in: IECON’99. Conference
    Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society
    (Cat. No.99CH37029), IEEE, 2003.'
date_created: 2023-01-25T09:12:16Z
date_updated: 2023-03-21T09:59:07Z
department:
- _id: '59'
doi: 10.1109/iecon.1999.822171
language:
- iso: eng
publication: IECON'99. Conference Proceedings. 25th Annual Conference of the IEEE
  Industrial Electronics Society (Cat. No.99CH37029)
publication_status: published
publisher: IEEE
status: public
title: Masking and etching of silicon and related materials for geometries down to
  25 nm
type: conference
user_id: '20179'
year: '2003'
...
---
_id: '39888'
author:
- first_name: J.T.
  full_name: Horstmann, J.T.
  last_name: Horstmann
- first_name: Ulrich
  full_name: Hilleringmann, Ulrich
  id: '20179'
  last_name: Hilleringmann
- first_name: K.
  full_name: Goser, K.
  last_name: Goser
citation:
  ama: 'Horstmann JT, Hilleringmann U, Goser K. Matching analysis of NMOS-transistors
    with a channel length down to 30 nm. In: <i>IECON’99. Conference Proceedings.
    25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>.
    IEEE; 2003. doi:<a href="https://doi.org/10.1109/iecon.1999.822163">10.1109/iecon.1999.822163</a>'
  apa: Horstmann, J. T., Hilleringmann, U., &#38; Goser, K. (2003). Matching analysis
    of NMOS-transistors with a channel length down to 30 nm. <i>IECON’99. Conference
    Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society
    (Cat. No.99CH37029)</i>. <a href="https://doi.org/10.1109/iecon.1999.822163">https://doi.org/10.1109/iecon.1999.822163</a>
  bibtex: '@inproceedings{Horstmann_Hilleringmann_Goser_2003, title={Matching analysis
    of NMOS-transistors with a channel length down to 30 nm}, DOI={<a href="https://doi.org/10.1109/iecon.1999.822163">10.1109/iecon.1999.822163</a>},
    booktitle={IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE
    Industrial Electronics Society (Cat. No.99CH37029)}, publisher={IEEE}, author={Horstmann,
    J.T. and Hilleringmann, Ulrich and Goser, K.}, year={2003} }'
  chicago: Horstmann, J.T., Ulrich Hilleringmann, and K. Goser. “Matching Analysis
    of NMOS-Transistors with a Channel Length down to 30 Nm.” In <i>IECON’99. Conference
    Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society
    (Cat. No.99CH37029)</i>. IEEE, 2003. <a href="https://doi.org/10.1109/iecon.1999.822163">https://doi.org/10.1109/iecon.1999.822163</a>.
  ieee: 'J. T. Horstmann, U. Hilleringmann, and K. Goser, “Matching analysis of NMOS-transistors
    with a channel length down to 30 nm,” 2003, doi: <a href="https://doi.org/10.1109/iecon.1999.822163">10.1109/iecon.1999.822163</a>.'
  mla: Horstmann, J. T., et al. “Matching Analysis of NMOS-Transistors with a Channel
    Length down to 30 Nm.” <i>IECON’99. Conference Proceedings. 25th Annual Conference
    of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>, IEEE, 2003,
    doi:<a href="https://doi.org/10.1109/iecon.1999.822163">10.1109/iecon.1999.822163</a>.
  short: 'J.T. Horstmann, U. Hilleringmann, K. Goser, in: IECON’99. Conference Proceedings.
    25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029),
    IEEE, 2003.'
date_created: 2023-01-25T09:12:46Z
date_updated: 2023-03-21T09:58:50Z
department:
- _id: '59'
doi: 10.1109/iecon.1999.822163
language:
- iso: eng
publication: IECON'99. Conference Proceedings. 25th Annual Conference of the IEEE
  Industrial Electronics Society (Cat. No.99CH37029)
publication_status: published
publisher: IEEE
status: public
title: Matching analysis of NMOS-transistors with a channel length down to 30 nm
type: conference
user_id: '20179'
year: '2003'
...