Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

Frederic Lehmann; Gian Mario Maggio

doi:10.1109/TIT.2005.847751

Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

Frederic Lehmann
, Gian Mario Maggio

CNRS SAMOVAR UMR 5157
AST La Jolla
University of California, San Diego

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this correspondence, we introduce a simple one-dimensional (1-D) nonlinear map to describe the iterates of the bit-error rate (BER) of parallel-concatenated convolutional codes (PCCC) on the binary-input Gaussian channel. A lower bound on this map is derived based upon the weight enumerator of the constituent codes, thus enabling the characterization of the dynamics of the decoder in terms of fixed points, along with the associated stability analysis.

langue originale	Anglais
Pages (de - à)	2190-2198
Nombre de pages	9
journal	IEEE Transactions on Information Theory
Volume	51
Numéro de publication	6
Les DOIs	https://doi.org/10.1109/TIT.2005.847751
état	Publié - 1 juin 2005
Modification externe	Oui

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10.1109/TIT.2005.847751

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title = "Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes",

abstract = "In this correspondence, we introduce a simple one-dimensional (1-D) nonlinear map to describe the iterates of the bit-error rate (BER) of parallel-concatenated convolutional codes (PCCC) on the binary-input Gaussian channel. A lower bound on this map is derived based upon the weight enumerator of the constituent codes, thus enabling the characterization of the dynamics of the decoder in terms of fixed points, along with the associated stability analysis.",

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AB - In this correspondence, we introduce a simple one-dimensional (1-D) nonlinear map to describe the iterates of the bit-error rate (BER) of parallel-concatenated convolutional codes (PCCC) on the binary-input Gaussian channel. A lower bound on this map is derived based upon the weight enumerator of the constituent codes, thus enabling the characterization of the dynamics of the decoder in terms of fixed points, along with the associated stability analysis.

KW - Concatenated codes

KW - Density evolution

KW - Gaussian densities

KW - Iterative decoding

KW - Nonlinear dynamics

KW - Stability condition

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ER -

Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

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