Communication systems have always been affected by multipath propagation that causes a delay and distortion in receiving the signal, with a different delay for each path. Multiple-Input Multiple-Output (MIMO) communication systems were developed to combat this problem and use multipath propagation to their benefit. A MIMO communication system contains M transmitter antennas and N receiver antennas that are used to improve either the reliability of transmission or the throughput.;In this thesis we assume an exponential channel correlation matrix R model, with correlation parameter r, for the MIMO channel with J = M = N, and Rk,l = J2r|k-l| , k,l = 0,..., J2-1, and use it to compute the corresponding (a) channel H-matrix, (b) receiver (RRx) and transmitter (R Tx) correlation matrices, and (c) ergodic MIMO channel capacity (CH). We propose two algorithms to obtain RRx and RTx from R, which have been used to estimate/bound (CH).;We then investigate and compare three ergodic MIMO channel capacity estimation/bound methods for our MIMO channel model for 0 ≤ r ≤ 1 and J = 2, ..., 20. The first two existing estimation/bound methods use the Kronecker model and an RRx-based bound, respectively. The third method is a novel method we propose and study to estimate the ergodic MIMO channel capacity using specific eigenvalues of RRx. The behavior of the eigenvalues of R and RRx are analyzed to identify the eigenvalues that can be used in Method 3. This method achieves less relative-error compared to the RRx-based and Rkron-based bounds for various regions of (r,J) plane. It is best overall method for the entire ( r,J) plane.
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