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We derive the log-likelihood ratio for iterative decoding of low-density parity-check codes transmitted using binary phase-shift-keying (BPSK) with pilot-symbol-assisted modulation. This is done with the aid of a reference phasor formed from the received pilot signals. We compare our metric with the existing Gaussian metric for differential BPSK transmission and also show that our metric converges...
This paper presents a new class of low-density parity-check (LDPC) codes over represented by regular, structured Tanner graphs. These graphs are constructed using Latin squares defined over a multiplicative group of a Galois ring, rather than a finite field. Our approach yields codes for a wide range of code rates and more importantly, codes whose minimum pseudocodeword weights equal their minimum...
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