1,721,004 research outputs found
Random Matrix Theory and Wireless Communications
No full textRandom 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. This article provides a 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
Monotonic Decrease of the Non-Gaussianness of the Sum of Independent Random Variables: A Simple Proof
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Design of MMSE multiuser detectors using random matrix techniques
No full textReduced-rank MMSE receivers using asymptotic weights reduce receiver complexity while maintaining good performance in long-sequence DS-CDMA systems. In this paper, we analyze such receivers in multipath fading channels and extend their design to multicarrier CDMA (both uplink and downlink). An explicit expression is obtained for the asymptotic eigenvalue moments of the interference autocorrelation matrix and for the asymptotic weights derived therefrom and used in the reduced-rank receiver. The full-rank MMSE receiver is also considered for multicarrier CDMA and a fixed point equation of the asymptotic maximum output SINR is derived which particularizes to the Tse-Hanly fixed point equation for the special case of DS-CDMA. An explicit expression of the MMSE spectral efficiency is proposed for multicarrier CDMA
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