An Enhanced DMT-optimality Criterion for STBC-schemes for Asymmetric\n MIMO Systems

2012/01/10 by K. Pavan Srinath, Srinath, K. Pavan, B. Sundar Rajan +1
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #Advanced Wireless Network Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · pdf · doi:10.48550/arxiv.1201.1997

openalex publication_date 2012/01/10 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

For any n_t transmit, n_r receive antenna (n_t\× n_r) MIMO system\nin a quasi-static Rayleigh fading environment, it was shown by Elia et al. that\nlinear space-time block code-schemes (LSTBC-schemes) which have the\nnon-vanishing determinant (NVD) property are diversity-multiplexing gain\ntradeoff (DMT)-optimal for arbitrary values of n_r if they have a code-rate\nof n_t complex dimensions per channel use. However, for asymmetric MIMO\nsystems (where n_r < n_t), with the exception of a few LSTBC-schemes, it is\nunknown whether general LSTBC-schemes with NVD and a code-rate of n_r complex\ndimensions per channel use are DMT-optimal. In this paper, an enhanced\nsufficient criterion for any STBC-scheme to be DMT-optimal is obtained, and\nusing this criterion, it is established that any LSTBC-scheme with NVD and a\ncode-rate of \min n_t,n_r complex dimensions per channel use is\nDMT-optimal. This result settles the DMT-optimality of several well-known,\nlow-ML-decoding-complexity LSTBC-schemes for certain asymmetric MIMO systems.\n

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