Capacity Analysis for Continuous Alphabet Channels with Side Information, Part II: MIMO Channels

TL;DR

This paper analyzes the capacity of MIMO wireless channels with various fading and CSI conditions, extending previous work to include multiple antenna systems and different fading scenarios.

Contribution

It applies earlier capacity results to MIMO channels with diverse fading and CSI conditions, providing a comprehensive analysis of capacity and optimal measures.

Findings

Capacity characterized for AWGN and fading channels with full, no, and partial CSI.

Results applicable to Rayleigh and Rician fading with arbitrary line-of-sight.

Analysis of existence and uniqueness of capacity-achieving measures.

Abstract

In this part, we consider the capacity analysis for wireless mobile systems with multiple antenna architectures. We apply the results of the first part to a commonly known baseband, discrete-time multiple antenna system where both the transmitter and receiver know the channel's statistical law. We analyze the capacity for additive white Gaussian noise (AWGN) channels, fading channels with full channel state information (CSI) at the receiver, fading channels with no CSI, and fading channels with partial CSI at the receiver. For each type of channels, we study the capacity value as well as issues such as the existence, uniqueness, and characterization of the capacity-achieving measures for different types of moment constraints. The results are applicable to both Rayleigh and Rician fading channels in the presence of arbitrary line-of-sight and correlation profiles.