Performance of BICM-ID with Signal Space Diversity

• Published in: IEEE transactions on wireless communications Vol. 6; no. 5; pp. 1732 - 1742
• Main Authors: Tran, N.H., Nguyen, H.H., Le-Ngoc, T.
• Format: Journal Article
• Language: English
• Published: Piscataway, NJ IEEE 01.05.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; AWGN channels; Channels; Codes; Constellation diagram; Constellations; Design engineering; Exact sciences and technology; Fading; Interleaved codes; Iterative decoding; Lattices; Mathematical analysis; Modulation coding; Optimization; Performance analysis; Receivers; Signal design; Signal mapping; Studies; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Wireless communication; Fading channels; Performance evaluation; Design criterion; Quadrature amplitude modulation; Bit-interleaved coded modulation; minimum mean-square error estimation; Rayleigh channels; Space diversity; Iterative method; Mapping; Complex signal; Iterative decoding; Mean square error; AWGN channels; M ary modulation; rotation matrix; signal space diversity; Simulation; Interleaved codes; performance analysis
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2007.360375

This paper presents a performance analysis of bit-interleaved coded-modulation with iterative decoding (BICM-ID) and complex N-dimensional signal space diversity in fading channels to investigate its performance limitation, the choice of the rotation matrix and the design of a low-complexity receiver. The tight error bound is first analytically derived. Based on the design criterion obtained from the error bound, the optimality of the rotation matrix is then established. It is shown that using the class of the optimal rotation matrices, the performance of BICM-ID systems over a Rayleigh fading channel approaches that of the BICM-ID systems over an AWGN channel when the dimension of the signal constellation increases. Furthermore, by exploiting the sigma mapping for any M-ary QAM constellation, a very simple sub-optimal, but yet effective iterative receiver structure suitable for signal constellations with large dimensions is proposed. Simulation results in various cases and conditions indicate that the proposed receiver can achieve the analytical performance bounds with low complexity