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 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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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. |
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| 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. |
| Author_xml | – sequence: 1 givenname: G. surname: Colavolpe fullname: Colavolpe, G. organization: Dipt. di Ingegneria dell'Informazione, Univ. di Parma, Italy – sequence: 2 givenname: A. surname: Barbieri fullname: Barbieri, A. organization: Dipt. di Ingegneria dell'Informazione, Univ. di Parma, Italy – sequence: 3 givenname: G. surname: Caire fullname: Caire, G. |
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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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