Low and high-delay source-channel coding with bandwidth expansion and correlated interference

We consider the problem of sending a Gaussian source over an additive white Gaussian noise channel with Gaussian correlated interference known to the transmitter. We study both low-delay and asymptotically high-delay (in the sense of infinite source and coding block lengths) joint source-channel coding schemes based on purely analog and hybrid-digital analog (HDA) schemes with bandwidth expansion, respectively. The achievable (square error) distortion region of these schemes under matched and mismatched noise power is analyzed. The low-delay scheme uses a non-parametric analog mapping that is designed using a joint optimization of the encoder and the decoder. Numerical results show that the non-parametric approach adapts better to the interference than the classical linear scheme. For the high-delay regime, we establish a lower bound on the system's distortion and propose a layered HDA scheme based on Wyner-Ziv and HDA Costa coding. The proposed HDA scheme is shown to perform close to the derived bound and to be resilient under noise mismatch.