The statistics of indefinite quadratic forms in Gaus- sian vectors are of particular relevance as they often occur in signal processing, wireless communications, information theory and adaptive filter theory. Very recently their distribution has been characterized in closed form in [1]. In this work, we extend such results to the case of indefinite quadratic form with random kernel matrix. We focus on Rayleigh quotients in random ma- trices commonly met in MIMO communications. As an instance of practical application of our findings, the gap between the multiuser efficiency of a MIMO linear Minimum Mean-Squared Error (MMSE) receiver and the corresponding efficiency in the Zero Forcing (ZF) case, is statistically characterized in the finite- size setting for the first time.
Rayleigh Quotient Based Analysis of MIMO Linear Receivers
CF Chiasserini;A Nordio
2017
Abstract
The statistics of indefinite quadratic forms in Gaus- sian vectors are of particular relevance as they often occur in signal processing, wireless communications, information theory and adaptive filter theory. Very recently their distribution has been characterized in closed form in [1]. In this work, we extend such results to the case of indefinite quadratic form with random kernel matrix. We focus on Rayleigh quotients in random ma- trices commonly met in MIMO communications. As an instance of practical application of our findings, the gap between the multiuser efficiency of a MIMO linear Minimum Mean-Squared Error (MMSE) receiver and the corresponding efficiency in the Zero Forcing (ZF) case, is statistically characterized in the finite- size setting for the first time.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
