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 |
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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. |
doi_str_mv | 10.1109/LCOMM.2005.1576589 |
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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.</description><identifier>ISSN: 1089-7798</identifier><identifier>EISSN: 1558-2558</identifier><identifier>DOI: 10.1109/LCOMM.2005.1576589</identifier><identifier>CODEN: ICLEF6</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>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</subject><ispartof>IEEE communications letters, 2005-12, Vol.9 (12), p.1064-1066</ispartof><rights>2006 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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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.</description><subject>Applied sciences</subject><subject>Coding, codes</subject><subject>Convergence</subject><subject>Equations</subject><subject>Exact sciences and technology</subject><subject>Gaussian approximation</subject><subject>Information, signal and communications theory</subject><subject>Iterative decoding</subject><subject>Linear programming</subject><subject>Mutual information</subject><subject>Optimization methods</subject><subject>Parity check codes</subject><subject>Signal and communications theory</subject><subject>Stability</subject><subject>Telecommunications and information theory</subject><subject>Transfer functions</subject><issn>1089-7798</issn><issn>1558-2558</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpd0EtLAzEQAOAgCtbqH9BLEPS2Nc9NcpT6hC0V1POSzWZryjapye6h_noDLQheZgbmY5gZAC4xmmGM1F01Xy4WM4IQn2EuSi7VEZhgzmVBcjjONZKqEELJU3CW0hohJAnHE_B-73W_Sy5B7VsYtoPbuB89uOBh6KCL0a7GXkdYPbzNoQmtTbALEa6D8wNMYYzGFuZLe2972NoMnF-dg5NO98leHPIUfD49fsxfimr5_Dq_rwpHSjoURnPBWCMoEVwygygWpCypso3g2mCuUKM0k6JtO6lFi1piVWMxaqxhSjUdnYLb_dxtDN-jTUO9ccnYvtfehjHVRCKWT1YZXv-D67x5PjzVUlLGylLQjG4OSCej-y5qb1yqt9FtdNzVOBNGSpbd1d45a-1fe_91-gv8uXWt</recordid><startdate>20051201</startdate><enddate>20051201</enddate><creator>Poulliat, C.</creator><creator>Declercq, D.</creator><creator>Lamy-Bergot, C.</creator><creator>Fijalkow, I.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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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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