Performance analysis for multiple-antenna systems and wireless networks: asymptotic approach

Abstract

This thesis investigates the following two issues dealing with asymptotic approaches: a diversity-multiplexing tradeoff (DMT) and outage performance for Rician channels, and a capacity scaling in wireless ad hoc networks. Specifically, DMT characteristics and outage behaviors are analyzed in both high signal-to-noise ratio (SNR) and finite SNR regimes. Throughput scaling laws are analyzed when we consider a network with infrastructure support. The benefits of opportunistic routing are also analyzed in ad hoc networks with fading, and furthermore a multi-antenna network with a single active source-destination (S-D) pair is characterized by the transport capacity when there is fading. First, we analyze the DMT, originally introduced by Zheng and Tse, and outage performance for Rician multiple-input multiple-output (MIMO) channels. The DMT characteristics of Rayleigh and Rician channels are shown to be identical. In a high SNR regime, the log-log plot of outage probability versus SNR curve for a Rician channel is a shifted version of that for the corresponding Rayleigh channel. The SNR gap between the outage curves of the Rayleigh and Rician channels is derived. The concept of regional DMT is introduced by extending the asymptotic outage probability expression for Rayleigh channels. It is shown that for both Rayleigh and Rician channels, the regional diversity gain is a linear function of the regional multiplexing gain and that the original DMT curve can be obtained from the set of regional DMT lines. The DMT and outage performance are also analyzed for Rician multiple-input single-output (MISO)/single-input multiple-output (SIMO) channels over a finite SNR regime. A closed-form expression for the outage probability is derived and the finite SNR DMT characteristic is analyzed. It is observed that the maximum diversity gain can be achieved at some finite SNR - the maximum gain tends to increase linearly with the Rician factor. The finite SNR diversity gain is s...