Non-Coherent LDPC Decoding on Graphs

Within this paper graph based non-coherent decoding algorithms for LDPC encoded systems are proposed. We study a class of LDPC codes suitable for non-coherent detection. On the basis of the related graphs a non-coherent decoding algorithm with variable trade-off between computational complexity and BER performance is derived. The proposed scheme is also capable to deal with pilot symbols if available. Finally, the excellent performance of the proposed methods is verified by simulations

[1]  José M. F. Moura,et al.  The design of structured regular LDPC codes with large girth , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[2]  K.-D. Kammeyer,et al.  Blind identification and equalization of LDPC-encoded MIMO systems , 2005, 2005 IEEE 61st Vehicular Technology Conference.

[3]  Rüdiger L. Urbanke,et al.  Design of capacity-approaching irregular low-density parity-check codes , 2001, IEEE Trans. Inf. Theory.

[4]  K.-D. Kammeyer,et al.  On phase correct blind deconvolution exploiting channel coding , 2003, Proceedings of the 3rd IEEE International Symposium on Signal Processing and Information Technology (IEEE Cat. No.03EX795).

[5]  Ruey-Yi Wei Noncoherent block-coded MPSK , 2005, IEEE Trans. Commun..

[6]  Dan Raphaeli,et al.  Decoding algorithms for noncoherent trellis coded modulation , 1996, IEEE Trans. Commun..

[7]  Michael Horstein,et al.  Review of 'Low-Density Parity-Check Codes' (Gallager, R. G.; 1963) , 1964, IEEE Transactions on Information Theory.

[8]  David J. C. MacKay,et al.  Good Error-Correcting Codes Based on Very Sparse Matrices , 1997, IEEE Trans. Inf. Theory.

[9]  Mikael Skoglund,et al.  Combined coding and modulation design for unknown frequency-selective channels , 2003, IEEE International Symposium on Information Theory, 2003. Proceedings..

[10]  Radford M. Neal,et al.  Near Shannon limit performance of low density parity check codes , 1996 .

[11]  Volker Kühn,et al.  On phase correct blind deconvolution of flat MIMO channels exploiting channel encoding , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

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

[13]  Robert G. Gallager,et al.  Low-density parity-check codes , 1962, IRE Trans. Inf. Theory.

[14]  Giulio Colavolpe,et al.  Noncoherent sequence detection , 1999, IEEE Trans. Commun..

[15]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.