https://scholars.lib.ntu.edu.tw/handle/123456789/632348
標題: | On secrecy capacity of fast fading MIMOME wiretap channels with statistical CSIT | 作者: | SHIH-CHUN LIN Lin C.-L. |
關鍵字: | MIMO; partial CSIT; Secrecy capacity | 公開日期: | 2014 | 卷: | 13 | 期: | 6 | 起(迄)頁: | 3293-3306 | 來源出版物: | IEEE Transactions on Wireless Communications | 摘要: | In this paper, we consider secure transmissions in ergodic Rayleigh fast-faded multiple-input multiple-output multiple-antenna-eavesdropper (MIMOME) wiretap channels with only statistical channel state information at the transmitter (CSIT). When the antennas at the legitimate receiver are more than (or equal to) those at the eavesdropper, we prove the first MIMOME secrecy capacity with partial CSIT by establishing a new secrecy capacity upper-bound. The key step is to form an MIMOME degraded channel by dividing the legitimate receiver's channel matrix into two submatrices, and setting one of the submatrices to be the same as the eavesdropper's channel matrix. Next, under the total power constraint over all transmit antennas, we analytically solve the channel-input covariance matrix optimization problem to fully characterize the MIMOME secrecy capacity. Typically, the MIMOME optimization problems are non-concave. However, thanks to the proposed degraded channel, we can transform the stochastic MIMOME optimization problem to be a Schur-concave one and then find its solution. Besides total power constraint, we also investigate the secrecy capacity when the transmitter is subject to the practical per-antenna power constraint. The corresponding optimization problem is even more difficult since it is not Schur-concave. Under the two power constraints considered, the corresponding MIMOME secrecy capacities can both scale with the signal-to-noise ratios (SNR) when the difference between numbers of antennas at legitimate receiver and eavesdropper are large enough. However, when the legitimate receiver and eavesdropper have a single antenna each, such SNR scalings do not exist for both cases. © 2002-2012 IEEE. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84903310105&doi=10.1109%2fTWC.2014.041714.11654&partnerID=40&md5=bc74dc537281abacb0b3bbfcb966253c https://scholars.lib.ntu.edu.tw/handle/123456789/632348 |
ISSN: | 15361276 | DOI: | 10.1109/TWC.2014.041714.11654 | SDG/關鍵字: | Antennas; Communication channels (information theory); Covariance matrix; MIMO systems; Optimization; Stochastic systems; Transmitters; Matrix optimization; Optimization problems; Partial CSIT; Per-antenna power constraints; Secrecy capacity; Secure transmission; Signaltonoise ratio (SNR); Statistical channel state informations; Signal to noise ratio |
顯示於: | 電機工程學系 |
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