Title :
Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes
Author :
Lehmann, Frederic ; Maggio, Gian Mario
Author_Institution :
Dept. CITI, GET/INT, Evry, France
fDate :
6/1/2005 12:00:00 AM
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 :
Gaussian channels; concatenated codes; convolutional codes; error statistics; iterative decoding; nonlinear dynamical systems; BER; PCCC; associated stability analysis; binary-input Gaussian channel; bit-error rate; constituent code; iterative decoding; nonlinear analysis; one-dimensional nonlinear map; parallel concatenated convolutional code; weight enumerator; Bit error rate; Concatenated codes; Convolutional codes; Gaussian channels; Information analysis; Iterative algorithms; Iterative decoding; Parity check codes; Stability analysis; Turbo codes; Concatenated codes; Gaussian densities; density evolution; iterative decoding; nonlinear dynamics; stability condition;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.847751
