Non-binary LDPC coded DPSK modulation for phase noise channels

In this paper, we study digital transmission over an additive white Gaussian noise (AWGN) channel with mary differential phase-shift keying (DPSK) modulation in the presence of phase noise. At the receiver side, non-coherent iterative detection and decoding is assumed. We present a non-binary low-density generator matrix (LDGM) code design which is suitable for both coherent and non-coherent channels. The code construction is strongly related to the one of non-binary irregular repeat-accumulate (IRA) low-density parity-check (LDPC) codes.

[1]  H. Jin,et al.  Irregular repeat accumulate codes , 2000 .

[2]  R. Gallager.  Information Theory and Reliable Communication , 1968 .

[3]  Giuseppe Caire,et al.  Algorithms for iterative decoding in the presence of strong phase noise , 2005, IEEE Journal on Selected Areas in Communications.

[4]  Patrick G. Farrell,et al.  Coded modulation with convolutional codes over rings , 1990, EUROCODE.

[5]  William G. Cowley,et al.  Construction and Iterative Decoding of LDPC Codes Over Rings for Phase-Noisy Channels , 2008, EURASIP J. Wirel. Commun. Netw..

[6]  F. Pollara,et al.  Serial concatenation of interleaved codes: performance analysis, design and iterative decoding , 1996, Proceedings of IEEE International Symposium on Information Theory.

[7]  Dariush Divsalar,et al.  Multiple-symbol differential detection of MPSK , 1990, IEEE Trans. Commun..

[8]  Giulio Colavolpe,et al.  Soft-Output Decoding of Rotationally Invariant Codes Over Channels With Phase Noise , 2006, IEEE Transactions on Communications.

[9]  Stephan ten Brink,et al.  Design of repeat-accumulate codes for iterative detection and decoding , 2003, IEEE Trans. Signal Process..

[10]  Giulio Colavolpe.  Communications over phase noise channels: a tutorial review , 2014, Int. J. Satell. Commun. Netw..

[11]  J. Thorpe.  Low-Density Parity-Check (LDPC) Codes Constructed from Protographs , 2003 .

[12]  Giulio Colavolpe,et al.  On the Information Rate and Repeat-Accumulate Code Design for Phase Noise Channels , 2011, IEEE Transactions on Communications.

[13]  D. Mackay,et al.  Low density parity check codes over GF(q) , 1998, 1998 Information Theory Workshop (Cat. No.98EX131).

[14]  Thomas E. Fuja,et al.  LDPC codes over rings for PSK modulation , 2005, IEEE Transactions on Information Theory.

[15]  Gerhard Bauch,et al.  Low-Rate Non-Binary LDPC Codes for Coherent and Blockwise Non-Coherent AWGN Channels , 2013, IEEE Transactions on Communications.

[16]  Evangelos Eleftheriou,et al.  Regular and irregular progressive edge-growth tanner graphs , 2005, IEEE Transactions on Information Theory.

[17]  S. Shamai,et al.  Iterative decoding for coded noncoherent MPSK communications over phase-noisy AWGN channel , 2000 .

[18]  X. Jin.  Factor graphs and the Sum-Product Algorithm , 2002 .

[19]  Rüdiger L. Urbanke,et al.  The capacity of low-density parity-check codes under message-passing decoding , 2001, IEEE Trans. Inf. Theory.

[20]  John G. Proakis,et al.  Digital Communications , 1983 .

[21]  J. L. Massey,et al.  Convolutional codes over rings , 1989 .

[22]  Peter A. Hoeher,et al.  "Turbo DPSK": iterative differential PSK demodulation and channel decoding , 1999, IEEE Trans. Commun..