Abstract
This paper focuses on 16-QAM labelings of bit-interleaved space-time coded modulation with iterative decoding (BI-STCM-ID). What is contributed is an algorithm to generate (with no random search) optimal labelings for BI-STCM-ID systems with any number of transmit- and receive antennas, transmitting over Rayleigh fading channel. Along with the algorithm, a couple of corollaries are brought, which give an account of the optimal labelings’ features. Having a complete set of optimal 16-QAM BI-STCM-ID labelings at hand, it is possible to advance research on labeling diversity scheme by finding all such labeling pairs that—if applied to a system with two different labeling maps within adjacent transmit streams—bring maximum asymptotic coding gain .
Highlights
Since bit-interleaved coded modulation with iterative decoding (BICM-ID) was introduced [1, 2], there have been many efforts made to analyze the impact of applied signal labeling on the system performance
Some researchers tried moving the position of constellation points for a given modulation order, e.g., [3, 4], but in most cases the constellation points were fixed and the research focused on solving a combinatorial problem of associating binary labels with constellation points of well known modulations, like 8-PSK, 16-QAM, and 64-QAM [3, 5,6,7]
Everything we need at this stage to generate a labeling that is complementary to a given reference M16a-compliant labeling, is a method to dispatch the labels obtained from the reference labeling according to Corollary 2 to the corner constellation points, which can be done in 8 ways
Summary
Since bit-interleaved coded modulation with iterative decoding (BICM-ID) was introduced [1, 2], there have been many efforts made to analyze the impact of applied signal labeling on the system performance. In [11] Huang and Ritcey have searched for the optimal labelings of BI-STCM-ID They used Reactive Tabu Search optimization algorithm and subsequently considered numerous diversity order values, i.e., p 2 f1; 2; 4; 8; 9; 16g, to get different labeling maps, each time. The author of this paper, inspired by modulation doping, proposed a space-time encoded system, called boosted scheme, in which different labelings, i.e., (Gray, M16a-compliant) pair, are used within adjacent transmit streams to generate signals carrying the same data [13]. Afterward, he succeeded in applying two optimal BI-STCM-ID labelings—both M16a-compliant—instead of the (Gray, M16a-compliant) pair.
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