Gaussian Primitive Diamond Channel: Correlated Noise at Relays and Relevant Applications

We investigate the special case of a symmetric Gaussian primitive diamond relay channel comprising a correlated Gaussian noise channel, and fronthaul links with limited rate from the relays to the destination. We use a combination of oblivious compress and forward (CF) with distributed Wyner-Ziv compression, and decode and forward (DF) techniques, where each relay decodes the whole message and sends half of its bits to the destination. We derive the CF achievable rate and investigate the effect of positive noise correlation on the system performance. The optimal time-sharing proportion between CF and DF is calculated for positive noise correlation.