Analysis of error floor of LDPC codes under LP decoding over the BSC
Description:
We consider linear programming (LP) decoding of a fixed low-density parity-check (LDPC) code over the binary symmetric channel (BSC). The LP decoder fails when it outputs a pseudo-codeword which is not a codeword. We propose an efficient algorithm termed the instanton search algorithm (ISA) which, given a random input, generates a set of flips called the BSC-instanton and prove that: (a) the LP decoder fails for any set of flips with support vector including an instanton; (b) for any input, the…
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Date:
January 1, 2009
Creator:
Chertkov, Michael; Chilappagari, Shashi; Vasic, Bane & Stepanov, Mikhail
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