High-Rate Full-Diversity Space-Time Block Codes for Three and Four Transmit Antennas

TL;DR

This paper introduces new high-rate, full-diversity space-time block codes for 3 and 4 transmit antennas, achieving lower decoding complexity and improved performance over existing codes.

Contribution

The paper proposes novel low-complexity, high-rate STBCs for MIMO systems with three and four transmit antennas, outperforming existing codes in coding gain and capacity proximity.

Findings

Rate-2 STBC outperforms previous designs for four antennas.

Rate-1.5 STBC surpasses quasi-orthogonal STBC performance.

Capacities of new codes are closer to MIMO channel capacity.

Abstract

In this paper, we deal with the design of high-rate, full-diversity, low maximum likelihood (ML) decoding complexity space-time block codes (STBCs) with code rates of 2 and 1.5 complex symbols per channel use for multiple-input multiple output (MIMO) systems employing three and four transmit antennas. We fill the empty slots of the existing STBCs from CIODs in their transmission matrices by additional symbols and use the conditional ML decoding technique which significantly reduces the ML decoding complexity of non-orthogonal STBCs while ensuring full-diversity and high coding gain. First, two new schemes with code rates of 2 and 1.5 are proposed for MIMO systems with four transmit antennas. We show that our low-complexity rate-2 STBC outperforms the corresponding best STBC recently proposed by Biglieri et al. for QPSK, due to its superior coding gain while our rate-1.5 STBC outperforms the full-diversity quasi-orthogonal STBC (QOSTBC). Then, two STBCs with code rates of 2 and 1.5 are proposed for three transmit antennas which are shown to outperform the corresponding full-diversity QOSTBC for three transmit antennas. We prove by an information-theoretic analysis that the capacities of new rate-2 STBCs for three and four transmit antennas are much closer to the actual MIMO channel capacity than the capacities of classical OSTBCs and CIODs.