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EXIT Chart Analysis of Non-Regular Signal Constellation Sets for BICM-ID

Authors:
Thorsten Clevorn, Susanne Godtmann, and Peter Vary
Book Title:
Proceedings of International Symposium on Information Theory and its Applications (ISITA)
Venue:
Parma, Italy
Date:
Oct. 2004
Language:
English

Abstract

A key design element of bit-interleaved coded modulation with iterative decoding (BICM-ID) is the mapping of the bit patterns to the elements of the signal constellation set (SCS). Recently, we proposed mappings and new non-regular SCSs with superior asymptotic performance, i.e., lower error

oors. These proposed mappings

use signal constellation sets with less elements than the number of bit patterns to be transmitted and an appropriate assignment of the bit patterns to them. The puncturing introduced by the not one-to-one relation between assigned bit patterns and the elements of the SCS is compensated by the usage of extrinsic information

obtained in the iterations. We further show the theoretical limits for the improvement of BICM-ID by this technique. Based on the mutual information concept of EXIT charts, a method is presented allowing

easy determination of the achievable gains by different mappings for different kinds of channels. The results are con rmed by simulations.

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