Random Matrix Theory and Wireless CommunicationsRandom matrix theory has found many applications in physics, statistics and engineering since its inception. Although early developments were motivated by practical experimental problems, random matrices are now used in fields as diverse as Riemann hypothesis, stochastic differential equations, condensed matter physics, statistical physics, chaotic systems, numerical linear algebra, neural networks, multivariate statistics, information theory, signal processing and small-world networks. Random Matrix Theory and Wireless Communications is the first tutorial on random matrices which provides an overview of the theory and brings together in one source the most significant results recently obtained. Furthermore, the application of random matrix theory to the fundamental limits of wireless communication channels is described in depth. The authors have created a uniquely comprehensive work that provides the reader with a full understanding of the foundations of random matrix theory and demonstrates the trends of their applications, particularly in wireless communications. Random Matrix Theory and Wireless Communications is a valuable resource for all students and researchers working on the cutting edge of wireless communications. |
Common terms and phrases
analysis asymp asymptotic analysis asymptotic capacity asymptotic freeness asymptotic spectrum asymptotically free averaged empirical CDMA Cmmse complex random converges almost surely Copt correlation covariance decorrelator Definition denoting density function diagonal distribution of HH downlink DS-CDMA empirical eigenvalue distribution entries are independent entries of H equal Example fading follows free probability free random matrices full CSI Gaussian entries given Hermitian i.i.d. entries IEEE Trans independent random variables Information Theory input kth user Lemma Let H Marčenko-Pastur law matrix H matrix whose entries MC-CDMA Mellin transform MMSE receiver moment-generating function moments multiuser efficiency mutual information n-transform nonnegative nonrandom limit number of antennas number of users obtained polynomials random matrices random matrix theory receive antennas satisfies semicircle law Shannon transform single-user solution spectral efficiency spreading sequences Stieltjes transform Theorem totic unitarily invariant vector Voiculescu Wigner matrix wireless communications Wishart matrix Wm(n