RANDOM MATRIX THEORY AND WIRELESS COMMUNICATIONS

By MATTHEW WILLIAMS

CONTENTS INTRODUCTION WIRELESS CHANNELS THE ROLE OF THE SINGULAR VALUES RANDOM MATRICES: A BRIEF HISTORICAL ACCOUNT RANDOM MATRIX THEORY TYPES OF MATRICES AND NON-ASYMPTOTIC RESULTS TRANSFORMS ASYMPTOTIC SPECTRUM THEOREMS FREE PROBABILITY CONVERGENCE RATES AND ASYMPTOTIC NORMALITY APPLICATIONS TO WIRELESS COMMUNICATIONS DIRECT-SEQUENCE CDMA MULTI-CARRIER CDMA SINGLE-USER MULTI-ANTENNA CHANNELS OTHER APPLICATIONS