Ergodic secrecy rate for Gaussian MISO wiretap channels with Rician fading

Jiangyuan Li, Shuangyu Luo, Athina P. Petropulu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A Gaussian multiple-input single-output (MISO) wiretap channel model is considered, where there exists a transmitter equipped with multiple antennas, a legitimate receiver and an eavesdropper each equipped with a single antenna. We study the problem of finding the optimal input covariance that maximizes the ergodic secrecy rate subject to a power constraint, where the full information on the legitimate channel is known to the transmitter, but only statistical information on the eavesdropper channel is available at the transmitter. Existing results address the case in which the eavesdropper channel has independent and identically distributed Gaussian entries with zero-mean, i.e., the channel has trivial covariance. This paper addresses the general case where eavesdropper channel has non-zero mean and nontrivial covariance. We show that the optimal input covariance has always rank one. Based on this, for the non-zero mean but trivial covariance, we reduce the original problem to an one variable optimization problem and propose Newton's method to solve the resulting optimization problem. Numerical results are presented to illustrate the algorithm.

Original languageEnglish (US)
Title of host publicationConference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010
Pages295-299
Number of pages5
DOIs
StatePublished - Dec 1 2010
Event44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 - Pacific Grove, CA, United States
Duration: Nov 7 2010Nov 10 2010

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers

Other

Other44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010
CountryUnited States
CityPacific Grove, CA
Period11/7/1011/10/10

Fingerprint

Transmitters
Antennas
Newton-Raphson method

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Networks and Communications

Keywords

  • Ergodic secrecy rate
  • MISO wiretap channel
  • Rician fading
  • beamforming
  • non-trivial covariance

Cite this

Li, J., Luo, S., & Petropulu, A. P. (2010). Ergodic secrecy rate for Gaussian MISO wiretap channels with Rician fading. In Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 (pp. 295-299). [5757520] (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2010.5757520
Li, Jiangyuan ; Luo, Shuangyu ; Petropulu, Athina P. / Ergodic secrecy rate for Gaussian MISO wiretap channels with Rician fading. Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010. 2010. pp. 295-299 (Conference Record - Asilomar Conference on Signals, Systems and Computers).
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Li, J, Luo, S & Petropulu, AP 2010, Ergodic secrecy rate for Gaussian MISO wiretap channels with Rician fading. in Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010., 5757520, Conference Record - Asilomar Conference on Signals, Systems and Computers, pp. 295-299, 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010, Pacific Grove, CA, United States, 11/7/10. https://doi.org/10.1109/ACSSC.2010.5757520

Ergodic secrecy rate for Gaussian MISO wiretap channels with Rician fading. / Li, Jiangyuan; Luo, Shuangyu; Petropulu, Athina P.

Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010. 2010. p. 295-299 5757520 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Li J, Luo S, Petropulu AP. Ergodic secrecy rate for Gaussian MISO wiretap channels with Rician fading. In Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010. 2010. p. 295-299. 5757520. (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2010.5757520