On Gallager-type bounds for the mismatched decoding regime with applications to turbo codes

The generalized Duman & Salehi (see IEEE Trans. on Communications, vol.46, no.6, p.717-23, 1998) bound is used in the realm of mismatch decoding metric for random and deterministic codes. In the random coding case with a proper restriction of the random ensemble, the technique reconstructs the Csizar-Korner-Hui lower bound. For deterministic codes, the bound is given in terms of the distance spectrum of the code and the results are demonstrated for fading channels with an estimate of the fading channel state information.

[1]  Robert G. Gallager,et al.  A simple derivation of the coding theorem and some applications , 1965, IEEE Trans. Inf. Theory.

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

[3]  Chintha Tellambura,et al.  Generation of bivariate Rayleigh and Nakagami-m fading envelopes , 2000, IEEE Communications Letters.

[4]  Robert B. Ash,et al.  Information Theory , 2020, The SAGE International Encyclopedia of Mass Media and Society.

[5]  S. Shamai,et al.  Information rates and error exponents of compound channels with application to antipodal signaling in a fading environment , 1993 .

[6]  Shlomo Shamai,et al.  On information rates for mismatched decoders , 1994, IEEE Trans. Inf. Theory.

[7]  D. Divsalar.  A Simple Tight Bound on Error Probability of Block Codes with Application to Turbo Codes , 1999 .

[8]  Emre Telatar,et al.  Mismatched decoding revisited: General alphabets, channels with memory, and the wide-band limit , 2000, IEEE Trans. Inf. Theory.

[9]  Masoud Salehi,et al.  Turbo codes and turbo coded modulation systems: analysis and performance bounds , 1998 .

[10]  Shlomo Shamai,et al.  Improved upper bounds on the ML performance of turbo codes for interleaved Rician fading channels, with comparison to iterative decoding , 2000, 2000 IEEE International Conference on Communications. ICC 2000. Global Convergence Through Communications. Conference Record.

[11]  T. Duman,et al.  New performance bounds for turbo codes , 1997, GLOBECOM 97. IEEE Global Telecommunications Conference. Conference Record.