Achievable Rates of Secure Transmission in Gaussian MISO Channel with Imperfect Main Channel Estimation

Xinyu Zhou, Zouheir Rezki, Basel Alomair, Mohamed-Slim Alouini

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A Gaussian multiple-input single-output (MISO) fading channel is considered. We assume that the transmitter, in addition to the statistics of all channel gains, is aware instantaneously of a noisy version of the channel to the legitimate receiver. On the other hand, the legitimate receiver is aware instantaneously of its channel to the transmitter, whereas the eavesdropper instantaneously knows all channel gains. We evaluate an achievable rate using a Gaussian input without indexing an auxiliary random variable. A sufficient condition for beamforming to be optimal is provided. When the number of transmit antennas is large, beamforming also turns out to be optimal. In this case, the maximum achievable rate can be expressed in a simple closed form and scales with the logarithm of the number of transmit antennas. Furthermore, in the case when a noisy estimate of the eavesdropper’s channel is also available at the transmitter, we introduce the SNR difference and the SNR ratio criterions and derive the related optimal transmission strategies and the corresponding achievable rates.
Original languageEnglish (US)
Pages (from-to)4470-4485
Number of pages16
JournalIEEE Transactions on Wireless Communications
Issue number6
StatePublished - Mar 15 2016

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KAUST Repository Item: Exported on 2020-10-01


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