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We propose a symbol-based belief propagation (BP) algorithm for iterative soft-decision decoding of Reed-Solomon (RS) codes. Complexity reduction is achieved by using a fast Fourier transform (FFT)-based BP algorithm. Parity-check matrix adaptation based on the reliability of the codeword symbols is an essential step to make the BP algorithm effective on high-density parity-check matrices characteristic...
In this paper, we investigate the attainable performance of quasi-cyclic (QC) protograph low-density parity-check (LDPC) codes for transmission over both additive white Gaussian noise and uncorrelated Rayleigh channels. The presented codes are constructed using the Vandermonde matrix and thus have a girth of at least six in their corresponding Tanner graph. Furthermore, they also benefit from both...
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