Approaching Shannon performance by iterative decoding of linear codes with low-density generator matrix

Javier Garcia‐Frias, Wei Zhong · IEEE Communications Letters · 2003

We propose the use of linear codes with low density generator matrix to achieve a performance similar to that of turbo and standard low-density parity check codes. The use of iterative decoding techniques - message passing -over the corresponding graph achieves a performance close to the Shannon theoretical limit. As an advantage with respect to turbo and standard low-density parity check codes, the complexity of the decoding and encoding procedures is very low.

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