Second-order statistics of large isometric matrices and applications to MMSE SIR

Abstract : In this paper we introduce a diagrammatic method to calculate asymptotic statistics of functions of large random isometric matrices. We have applied this method to calculate the mean and variance of the MMSE SIR for downlink synchronous CDMA systems.We compare our results to numerical simulations using three types of randomly generated isometric matrices, namely complex unitary Haar matrices, real orthogonal Haar matrices and orthogonal matrices generated from random subspaces of the N-dimensional real Hadamard matrix. While the first two types of matrices have good agreement with our analytic results, the Hadamard generated matrices give a consistently higher variance when the channel matrix is assumed to have a Toeplitz form. We argue that this discrepancy is due to the structure of eigenvectors of the Hadamard matrix.
Complete list of metadatas

https://hal-supelec.archives-ouvertes.fr/hal-00280524
Contributor : Samir Medina Perlaza <>
Submitted on : Monday, May 19, 2008 - 11:19:34 AM
Last modification on : Thursday, March 29, 2018 - 11:06:03 AM

Identifiers

  • HAL Id : hal-00280524, version 1

Collections

Citation

Aris L. Moustakas, Merouane Debbah. Second-order statistics of large isometric matrices and applications to MMSE SIR. Asilomar Conference on Signals, Systems, and Computers 2007, Nov 2007, Pacific Grove, United States. ⟨hal-00280524⟩

Share

Metrics

Record views

102