Algorithms for iterative decoding in the presence of strong phase noise

We present two new iterative decoding algorithms for channels affected by strong phase noise and compare them with the best existing algorithms proposed in the literature. The proposed algorithms are obtained as an application of the sum-product algorithm to the factor graph representing the joint a...

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Vydané v:IEEE journal on selected areas in communications Ročník 23; číslo 9; s. 1748 - 1757
Hlavní autori: Colavolpe, G., Barbieri, A., Caire, G.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.09.2005
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0733-8716, 1558-0008
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Abstract We present two new iterative decoding algorithms for channels affected by strong phase noise and compare them with the best existing algorithms proposed in the literature. The proposed algorithms are obtained as an application of the sum-product algorithm to the factor graph representing the joint a posteriori probability mass function of the information bits given the channel output. In order to overcome the problems due to the presence in the factor graph of continuous random variables, we apply the method of canonical distributions . Several choices of canonical distributions have been considered in the literature. Well-known approaches consist of discretizing continuous variables or treating them as jointly Gaussian, thus obtaining a Kalman estimator. Our first new approach, based on the Fourier series expansion of the phase probability density function, yields better complexity/performance tradeoff with respect to the usual discretized-phase method. Our second new approach, based on the Tikhonov canonical distribution, yields near-optimal performance at very low complexity and is shown to be much more robust than the Kalman method to the placement of pilot symbols in the coded frame. We present numerical results for binary LDPC codes and LDPC-coded modulation, with particular reference to some phase-noise models and coded-modulation formats standardized in the next-generation satellite Digital Video Broadcasting (DVB-S2). These results show that our algorithms achieve near-coherent performance at very low complexity without requiring any change to the existing DVB-S2 standard.
AbstractList We present two new iterative decoding algorithms for channels affected by strong phase noise and compare them with the best existing algorithms proposed in the literature. The proposed algorithms are obtained as an application of the sum-product algorithm to the factor graph representing the joint a posteriori probability mass function of the information bits given the channel output. In order to overcome the problems due to the presence in the factor graph of continuous random variables, we apply the method of canonical distributions . Several choices of canonical distributions have been considered in the literature. Well-known approaches consist of discretizing continuous variables or treating them as jointly Gaussian, thus obtaining a Kalman estimator. Our first new approach, based on the Fourier series expansion of the phase probability density function, yields better complexity/performance tradeoff with respect to the usual discretized-phase method. Our second new approach, based on the Tikhonov canonical distribution, yields near-optimal performance at very low complexity and is shown to be much more robust than the Kalman method to the placement of pilot symbols in the coded frame. We present numerical results for binary LDPC codes and LDPC-coded modulation, with particular reference to some phase-noise models and coded-modulation formats standardized in the next-generation satellite Digital Video Broadcasting (DVB-S2). These results show that our algorithms achieve near-coherent performance at very low complexity without requiring any change to the existing DVB-S2 standard.
The proposed algorithms are obtained as an application of the sum-product algorithm to the factor graph representing the joint a posteriori probability mass function of the information bits given the channel output.
Author Caire, G.
Colavolpe, G.
Barbieri, A.
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  fullname: Caire, G.
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Snippet We present two new iterative decoding algorithms for channels affected by strong phase noise and compare them with the best existing algorithms proposed in the...
The proposed algorithms are obtained as an application of the sum-product algorithm to the factor graph representing the joint a posteriori probability mass...
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SubjectTerms Algorithms
Channels
Channels with memory
Complexity
Decoding
Digital video broadcasting
factor graphs (FGs)
Fourier series
Graphs
Iterative algorithms
Iterative decoding
iterative detection/decoding
Kalman filters
low-density parity-check (LDPC) codes
Mathematical analysis
Mathematical models
Noise
Phase noise
Probability density function
Random variables
Robustness
Studies
Sum product algorithm
sum-product algorithm (SPA)
Tikhonov parameterization
Title Algorithms for iterative decoding in the presence of strong phase noise
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