On the Bit-Error Rate of Product Accumulate Codes in Optical Fiber Communications
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Product accumulate (PA) codes were proposed as a class of high-rate -low-complexity, capacity-approaching codes on additive white Gaussian noise (AWGN) channels. In this paper, we investigate the performance of the PA codes on intensity modu- lated optical fiber channels where the amplified spontaneous emis- sion (ASE) noise dominates all other noise sources. We consider bi- nary ON-OFF keying (OOK) modulation and iterative soft-decision message-passing decoding for the PA codes. Three channel models for the ASE noise dominated channel are investigated: asymmetric chi-square, asymmetric Gaussian, and symmetric Gaussian chan- nels (i.e., AWGN). At low signal-to-noise ratios (SNRs), due to the lack of tight bounds, code performance is evaluated using simula- tions of typical PA coding schemes. For high SNRs that are beyond simulation capabilities, we derive the pairwise error probability of the three channels and explore an average upper bound on the bit-error rate over the ensemble of PA codes. We show that AWGN channels, although fundamentally different from chi-square chan- nels, can serve as a reference to approximate the performance of high-rate PA codes.
author list (cited authors)
Li, J., Cai, Y. i., Narayanan, K. R., Lucero, A., Pilipetskii, A., & Georghiades, C. N.