Statistical Simulator for Block Coded Channels with Long Residual Interference

In this paper, we present a simple statistical simulation technique for channels with long memory operating under coded data. The proposed technique employs a divide-and-conquer approach, both at the level of the channel response and the individual codeword. We introduce an efficient algorithm for parity tracking during the generation and combining of the voltage distributions computed in individual sub-problems. The resulting computational complexity increases linearly both with the channel and the codeword length, keeping the number of parity bits constant. The complexity increases exponentially with the number of parity bits in a codeword. Thus, the technique is of most use for high-rate codes. Finally, the technique is applied to examine the effect of coding on high-speed links which operate at BERs smaller than 1e-15 and where residual interference typically spans several hundreds of bits. This simulator enables systematic evaluation of power-performance trade-offs in introducing error correction/detection codes into high-speed link systems.