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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2190-2198
Number of pages	9
Journal	IEEE Transactions on Information Theory
Volume	51
Issue number	6
DOIs	https://doi.org/10.1109/TIT.2005.847751
Publication status	Published - 1 Jun 2005
Externally published	Yes

Keywords

Concatenated codes
Density evolution
Gaussian densities
Iterative decoding
Nonlinear dynamics
Stability condition

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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.",

keywords = "Concatenated codes, Density evolution, Gaussian densities, Iterative decoding, Nonlinear dynamics, Stability condition",

author = "Frederic Lehmann and Maggio, \{Gian Mario\}",

year = "2005",

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journal = "IEEE Transactions on Information Theory",

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AU - Maggio, Gian Mario

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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

U2 - 10.1109/TIT.2005.847751

DO - 10.1109/TIT.2005.847751

M3 - Article

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SN - 0018-9448

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EP - 2198

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 6

ER -

Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

Abstract

Keywords

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