Analysis and optimization of irregular LDPC codes for joint source-channel decoding

In this paper, we present a characterization, through its convergence analysis, and an optimisation of a joint source-channel receiver composed of a LDPC decoder and a Soft Input Soft Output (SISO) source decoder. Under Gaussian approximation, assuming the knowledge of the extrinsic mutual informati...

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Veröffentlicht in:IEEE communications letters 2005-12, Vol.9 (12), p.1064-1066
Hauptverfasser: Poulliat, C., Declercq, D., Lamy-Bergot, C., Fijalkow, I.
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Declercq, D.
Lamy-Bergot, C.
Fijalkow, I.
description In this paper, we present a characterization, through its convergence analysis, and an optimisation of a joint source-channel receiver composed of a LDPC decoder and a Soft Input Soft Output (SISO) source decoder. Under Gaussian approximation, assuming the knowledge of the extrinsic mutual information transfer function (EXIT chart) of the source decoder, we derive the Mutual Information evolution equations, that semianalytically describe the convergence of the iterative system behavior and, to complete the study, the stability condition at the convergence fixed point is derived for the joint receiver. From this analysis, a general optimisation method of the irregularity of the LDPC codes is proposed, which can be reduced to a linear programming optimisation problem. Simulation results show improved performance when compared to an AWGN optimized LDPC code.
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subjects Applied sciences
Coding, codes
Convergence
Equations
Exact sciences and technology
Gaussian approximation
Information, signal and communications theory
Iterative decoding
Linear programming
Mutual information
Optimization methods
Parity check codes
Signal and communications theory
Stability
Telecommunications and information theory
Transfer functions
title Analysis and optimization of irregular LDPC codes for joint source-channel decoding
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