Distributed generalized parallel concatenated Turbo-like codes for multi-relay networks

In this paper, distributed generalized parallel concatenated Turbo-like (GPCT) codes are presented for the cooperative network that comprises one source, one destination and multiple relays. Specifically, using the error correcting capabilities of the repeat-convolute (repeat-q-times) codes, each relay node decodes what they receive, and the active relays forward the parity checks of different constituent repeat-convolute codes while others keep silent, thus, forming a distributed GPCT code at the destination. Under the assumption of maximum-likelihood (ML) decoding at the destination, it is proven that in this scheme with J active relay nodes and the signal-to-noise (SNR) of each channel is sufficiently high, the system asymptotic behavior of the bit error rate (BER) goes as N^-q(J-1)/2-1.