Transmitting an analog Gaussian source over a Gaussian wiretap channel under SNR mismatch

摘要

In this work we study encoding/decoding schemes for the transmission of adiscrete time analog Gaussian source over a Gaussian wiretap channel. Theintended receiver is assumed to have a certain minimum signal to noise ratio(SNR) and the eavesdropper is assumed to have a strictly lower SNR compared tothe intended receiver. For a fixed information leakage to the eavesdropper, weare interested in minimizing the distortion in source reconstruction at theintended receiver, and we propose joint source channel coding (JSCC) schemesfor this setup. For a fixed information leakage to the eavesdropper, we alsoshow that the schemes considered give a graceful degradation of distortion withSNR under SNR mismatch, i.e., when the actual channel SNR is observed to bedifferent from the design SNR.