Stacked OSTBC: Error Performance and Rate Analysis

TL;DR

This paper introduces a stacked OSTBC scheme extending Alamouti's design for multiple antennas, analyzing its capacity and error performance, and demonstrating its effectiveness through theoretical bounds and simulations.

Contribution

It proposes a novel stacked OSTBC scheme for multiple antennas, extending Alamouti's design, and provides capacity bounds and error performance analysis.

Findings

The scheme achieves capacity for n_T=2n and n_R=1.

It attains a high portion of MIMO capacity when transmit antennas exceed receive antennas.

Error rate performance is comparable to spatial multiplexing and full-diversity schemes.

Abstract

It is well known, that the Alamouti scheme is the only space-time code from orthogonal design achieving the capacity of a multiple-input multiple-output (MIMO) wireless communication system with n_T=2 transmit antennas and n_R=1 receive antenna. In this work, we propose the n-times stacked Alamouti scheme for n_T=2n transmit antennas and show that this scheme achieves the capacity in the case of n_R=1 receive antenna. This result may regarded as an extension of the Alamouti case. For the more general case of more than one receive antenna, we show that if the number of transmit antennas is higher than the number of receive antennas we achieve a high portion of the capacity with this scheme. Further, we show that the MIMO capacity is at most twice the rate achieved with the proposed scheme for all SNR. We derive lower and upper bounds for the rate achieved with this scheme and compare it with upper and lower bounds for the capacity. In addition to the capacity analysis based on the assumption of a coherent channel, we analyze the error rate performance of the stacked OSTBC with the optimal ML detector and with the suboptimal lattice-reduction (LR) aided zero-forcing detector. We compare the error rate performance of the stacked OSTBC with spatial multiplexing (SM) and full-diversity achieving schemes. Finally, we illustrate the theoretical results by numerical simulations.