EXIT Chart Aided Design of Near-Capacity Self-Concatenated Trellis Coded Modulation Using Iterative Decoding

In this contribution we design the Iteratively Decoded Self-Concatenated Convolutional Codes (SECCC-ID) using extrinsic information transfer (EXIT) charts. Good constituent Trellis Coded Modulation (TCM) codes are selected for communicating over both uncorrelated Rayleigh fading and Additive White Gaussian Noise (AWGN) channels. At the receiver iterative decoding is invoked for exchanging extrinsic information between the hypothetical decoder components. The convergence behaviour of the decoder is analysed with the aid of symbol-based EXIT charts. Similarly, the search for the best TCM constituent codes is also based on EXIT chart analysis. Finally, we demonstrate that the selected codes are capable of operating within 1 dB from the maximum achievable rate.

[1]  Soon Xin Ng,et al.  Quadrature Amplitude Modulation: From Basics to Adaptive Trellis-Coded, Turbo-Equalised and Space-Time Coded OFDM, CDMA and MC-CDMA Systems , 2004 .

[2]  Dariush Divsalar,et al.  The design of trellis coded MPSK for fading channels: set partitioning for optimum code design , 1988, IEEE Trans. Commun..

[3]  A. Glavieux,et al.  Turbo-codes and high spectral efficiency modulation , 1994, Proceedings of ICC/SUPERCOMM'94 - 1994 International Conference on Communications.

[4]  Dariush Divsalar,et al.  Serial concatenated trellis coded modulation with iterative decoding , 1997, Proceedings of IEEE International Symposium on Information Theory.

[5]  P. Robertson,et al.  Coded modulation scheme employing turbo codes , 1995 .

[6]  Lajos Hanzo,et al.  Efficient Computation of EXIT Functions for Nonbinary Iterative Decoding , 2006, IEEE Transactions on Communications.

[7]  Alexander M. Haimovich,et al.  EXIT charts for turbo trellis-coded modulation , 2004, IEEE Communications Letters.

[8]  G. David Forney,et al.  Concatenated codes , 2009, Scholarpedia.

[9]  Dariush Divsalar,et al.  The design of trellis coded MPSK for fading channels: performance criteria , 1988, IEEE Trans. Commun..

[10]  Gottfried Ungerboeck,et al.  Channel coding with multilevel/phase signals , 1982, IEEE Trans. Inf. Theory.

[11]  Dariush Divsalar,et al.  Bandwidth efficient parallel concatenated coding schemes , 1995 .

[12]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[13]  A. Grant,et al.  Convergence of non-binary iterative decoding , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[14]  Hans-Andrea Loeliger.  New turbo-like codes , 1997, Proceedings of IEEE International Symposium on Information Theory.

[15]  Lajos Hanzo,et al.  Near-Capacity Turbo Trellis Coded Modulation Design , 2007, 2007 IEEE 66th Vehicular Technology Conference.

[16]  Stephan ten Brink,et al.  Convergence behavior of iteratively decoded parallel concatenated codes , 2001, IEEE Trans. Commun..

[17]  Dariush Divsalar,et al.  Self-concatenated trellis coded modulation with self-iterative decoding , 1998, IEEE GLOBECOM 1998 (Cat. NO. 98CH36250).

[18]  Dariush Divsalar,et al.  A soft-input soft-output APP module for iterative decoding of concatenated codes , 1997, IEEE Communications Letters.

[19]  A. Glavieux,et al.  Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1 , 1993, Proceedings of ICC '93 - IEEE International Conference on Communications.

[20]  Lajos Hanzo,et al.  On the Design of Turbo Trellis Coded Modulation Schemes Using Symbol-Based Exit Charts , 2006, IEEE Vehicular Technology Conference.