A Random Coding Bound on the ML Decoding Error Probability for NB LDPC Coded QAM Signals

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Boris
Kudryashov
St. Petersburg University of Information Technologies, Mechanics and Optics
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Irina
Bocharova
St. Petersburg University of Information Technologies, Mechanics and Optics
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Evgenii P.
Ovsyannikov
State University of Aerospace Instrumentation
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Vitaly
Skachek
University of Tartu

Abstract

A finite-length random coding bound on the maximum-likelihood decoding error probability for an ensemble of irregular NB LDPC codes with QAM signaling for specific code symbol-to-signal mappings is derived. Simulation results for the frame error rate (FER) performance of belief-propagation decoding for the optimized NB quasi-cyclic (QC)-LDPC codes used in various coded modulation schemes are presented. Comparison with the same performance of the optimized binary QC-LDPC block codes in the WiFi and 5G standards, as well as with the new bound is performed.

Paper Manuscript