---
_id: '53274'
abstract:
- lang: eng
  text: <jats:p>This paper studies the performance of improper Gaussian signaling
    (IGS) over a 2-user Rayleigh single-input single-output (SISO) interference channel,
    treating interference as noise. We assume that the receivers have perfect channel
    state information (CSI), while the transmitters have access to only statistical
    CSI. Under these assumptions, we consider a signaling scheme, which we refer to
    as proper/improper Gaussian signaling or PGS/IGS, where at most one user may employ
    IGS. For the Rayleigh fading channel model, we characterize the statistical distribution
    of the signal-to-interference-plus-noise ratio at each receiver and derive closed-form
    expressions for the ergodic rates. By adapting the powers, we characterize the
    Pareto boundary of the ergodic rate region for the 2-user fading IC. The ergodic
    transmission rates can be attained using fixed-rate codebooks and no optimization
    is involved. Our results show that, in the moderate and strong interference regimes,
    the proposed PGS/IGS scheme improves the performance with respect to the PGS scheme.
    Additionally, we numerically compute the ergodic rate region of the full IGS scheme
    when both users can employ IGS and their transmission parameters are optimized
    by an exhaustive search. Our results suggest that most of the Pareto optimal points
    for the 2-user fading IC channel are attained when either both users transmit
    PGS or when one transmits PGS and the other transmits maximally improper Gaussian
    signals and time sharing is allowed.</jats:p>
article_number: '922'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Christian
  full_name: Lameiro, Christian
  last_name: Lameiro
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
citation:
  ama: Soleymani M, Santamaria I, Lameiro C, Schreier PJ. Ergodic Rate for Fading
    Interference Channels with Proper and Improper Gaussian Signaling. <i>Entropy</i>.
    2019;21(10). doi:<a href="https://doi.org/10.3390/e21100922">10.3390/e21100922</a>
  apa: Soleymani, M., Santamaria, I., Lameiro, C., &#38; Schreier, P. J. (2019). Ergodic
    Rate for Fading Interference Channels with Proper and Improper Gaussian Signaling.
    <i>Entropy</i>, <i>21</i>(10), Article 922. <a href="https://doi.org/10.3390/e21100922">https://doi.org/10.3390/e21100922</a>
  bibtex: '@article{Soleymani_Santamaria_Lameiro_Schreier_2019, title={Ergodic Rate
    for Fading Interference Channels with Proper and Improper Gaussian Signaling},
    volume={21}, DOI={<a href="https://doi.org/10.3390/e21100922">10.3390/e21100922</a>},
    number={10922}, journal={Entropy}, publisher={MDPI AG}, author={Soleymani, Mohammad
    and Santamaria, Ignacio and Lameiro, Christian and Schreier, Peter J.}, year={2019}
    }'
  chicago: Soleymani, Mohammad, Ignacio Santamaria, Christian Lameiro, and Peter J.
    Schreier. “Ergodic Rate for Fading Interference Channels with Proper and Improper
    Gaussian Signaling.” <i>Entropy</i> 21, no. 10 (2019). <a href="https://doi.org/10.3390/e21100922">https://doi.org/10.3390/e21100922</a>.
  ieee: 'M. Soleymani, I. Santamaria, C. Lameiro, and P. J. Schreier, “Ergodic Rate
    for Fading Interference Channels with Proper and Improper Gaussian Signaling,”
    <i>Entropy</i>, vol. 21, no. 10, Art. no. 922, 2019, doi: <a href="https://doi.org/10.3390/e21100922">10.3390/e21100922</a>.'
  mla: Soleymani, Mohammad, et al. “Ergodic Rate for Fading Interference Channels
    with Proper and Improper Gaussian Signaling.” <i>Entropy</i>, vol. 21, no. 10,
    922, MDPI AG, 2019, doi:<a href="https://doi.org/10.3390/e21100922">10.3390/e21100922</a>.
  short: M. Soleymani, I. Santamaria, C. Lameiro, P.J. Schreier, Entropy 21 (2019).
date_created: 2024-04-05T09:07:05Z
date_updated: 2024-04-05T13:19:44Z
department:
- _id: '263'
doi: 10.3390/e21100922
intvolume: '        21'
issue: '10'
keyword:
- General Physics and Astronomy
language:
- iso: eng
publication: Entropy
publication_identifier:
  issn:
  - 1099-4300
publication_status: published
publisher: MDPI AG
status: public
title: Ergodic Rate for Fading Interference Channels with Proper and Improper Gaussian
  Signaling
type: journal_article
user_id: '67076'
volume: 21
year: '2019'
...