Reed-Solomon Codes and Their Applications
Reed-Solomon Codes and Their Applications
Error-Correction Coding for Digital Communications
Error-Correction Coding for Digital Communications
Fast generalized minimum-distance decoding of algebraic-geometry and Reed-Solomon codes
IEEE Transactions on Information Theory
Algebraic soft-decision decoding of Reed-Solomon codes
IEEE Transactions on Information Theory
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A major problem in simulating communication systems is that, below a certain error rate, software simulation is too slow. Also software often does not allow to simulate the real system but only a somehow simplified version. Rapid prototyping can help to execute a hardware emulation of the system that is fast and represents the real behaviour too. As an example this paper describes the software simulation and hardware emulation of an extended BCH(16,7) code over an additive white Gaussian noise(AWGN) channel using binary phase shift keying (BPSK). Successive erasure decoding(SED) shows an additional gain of about 1 dB at a bit error rate of 10-6 and below, compared to a standard Berlekamp-Massey algorithm(BMA).The first two sections present the theoretical coding background, section three deals with implementation issues and section four discusses simulation and emulation results.1