Linear Space-Time Codes with Optimal Diversity-Multiplexing Tradeoff

Abstract

Abstract-In an effort to construct space-time codes (STC) that enjoy both optimality with respect to the diversity-multiplexing tradeoff (DMT) and encoding simplicity, we consider linear dispersion codes and establish a necessary and sufficient condition, in terms of the dispersion matrix, such that the resulting STC is DMT-optimal. We also present a simple construction that satisfies this condition, and is therefore DMT-optimal, for arbitrary number of transmit and receive antennas.

Diversity‐multiplexing trade‐off of linear dispersion coded multi‐input–multi‐output systems

“…The effect of shadowing phenomena in the DMT for SIMO and MISO systems has been investigated in [23,24]. Only the paper [25] has studied the LD codes from DMT-optimal perspective. In this paper, the authors presented a necessary www.ietdl.org and sufficient condition on the dispersion matrices, such that the resulting STBC is DMT-optimal.…”