Gaussian joint source-channel coding for the strong interference channel

Abstract

Transmission of correlated Gaussian sources over a Gaussian interference channel is studied. Each terminal has one source available, which has to be reconstructed at the corresponding destination with the minimum average distortion. Focusing on the strong interference setting, we first derive necessary conditions on the achievable distortion pairs. Then, focusing on the symmetric scenario, we present achievable distortion pairs considering several transmission strategies. We compare the achievable distortion by the proposed schemes with the lower bound. In particular, we consider separate source and channel coding, uncoded transmission, a vector quantization (VQ) scheme which uses the quantization codewords as channel inputs, and finally a superposition of two quantization codewords. We show that the VQ scheme is optimal in the high SNR regime. We also show that the proposed superposition scheme performs very close to the lower bound in certain regimes.

Zero-Delay Gaussian Joint Source–Channel Coding for the Interference Channel

“…The performance is measured by signal-to-distortion ratio SDR = σ Herein, the upper bound is obtained by applying the lower bound resulting from Lemma 3 in [9].…”

“…About JSCC Gaussian IC problem, [8] derived an outer bound on the achievable region when the interference is weak and showed the condition for optimality of uncoded transmission. For strong interference case, see [9]. Our goal here is to design low delay and low complexity JSCC techniques motivated by hybrid digital and analog strategies proposed in [7].…”

“…The derivation of (11) can be found in Appendix D. Substituting (10) into (5), and (11) into ( 8), (9), we obtain all the components needed to calculate (4).…”