Reduced complexity iterative decoding of low-density parity check codes based on belief propagation
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Cites background from "Reduced complexity iterative decodi..."
...It can be shown [20], [13] that for two statistically independent binary random variables U and V , the so-called “tanh-rule” is given by L(U ⊕ V ) = 2 tanh−1 ( tanh ( L(U) 2 ) tanh ( L(V ) 2 )) ....
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Cites methods from "Reduced complexity iterative decodi..."
...In this section, we present a reduced-complexity decoding algorithm for LDPC codes over GF , based on a generalization of the MS algorithm used for binary LDPC codes [11], [14], [16], [18], [26]....
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Cites methods or result from "Reduced complexity iterative decodi..."
...The UMP BP-based algorithm derived above is essentially the same as that in [ 14 ], but different in representation....
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...In [ 14 ], a reduced complexity iterative decoding algorithm based on BP algorithm has been proposed for LDPC codes and is referred to as uniformly most powerful(UMP) BP-based algorithm....
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...Finally, it is worth mentioning that since the performance degradation of the reduced complexity algorithm reported in [16] for LDPC convolutional codes is nearly the same as that reported in [ 14 ] for LDPC block codes, it is expected that similar gains as those observed in Figs....
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References
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"Reduced complexity iterative decodi..." refers methods in this paper
...As in [4], this probabilistic decoding algorithm is based on evaluating the likelihood ratios associated with each information bit from information provided by disjoint parity check equations....
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3,842 citations
"Reduced complexity iterative decodi..." refers background in this paper
...LDPC codes are specified by a parity-check matrix containing mostly zeros and only a small number of ones....
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3,246 citations
3,032 citations
"Reduced complexity iterative decodi..." refers background in this paper
...LDPC codes are specified by a parity-check matrix containing mostly zeros and only a small number of ones....
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