201 citations · 621 across the 50 of their papers we have counts for
13 papers · 1 filter
Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators
Walid Hachem, Adrien Hardy, Shlomo Shamai
Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary proce…
The Shannon's mutual information of a multiple antenna time and frequency dependent channel: an ergodic operator approach
Walid Hachem, Aris Moustakas, Leonid Pastur
Consider a random non-centered multiple antenna radio transmission channel. Assume that the deterministic part of the channel is itself frequency selective, and that the random mul…
Estimation of Toeplitz Covariance Matrices in Large Dimensional Regime with Application to Source Detection
Julia Vinogradova, Romain Couillet, Walid Hachem
In this article, we derive concentration inequalities for the spectral norm of two classical sample estimators of large dimensional Toeplitz covariance matrices, demonstrating in p…
Statistical Inference in Large Antenna Arrays under Unknown Noise Pattern
Julia Vinogradova, Romain Couillet, Walid Hachem
In this article, a general information-plus-noise transmission model is assumed, the receiver end of which is composed of a large number of sensors and is unaware of the noise patt…
A CLT on the SNR of Diagonally Loaded MVDR Filters
Francisco Rubio, Xavier Mestre, Walid Hachem
This paper studies the fluctuations of the signal-to-noise ratio (SNR) of minimum variance distorsionless response (MVDR) filters implementing diagonal loading in the estimation of…
Fluctuations of spiked random matrix models and failure diagnosis in sensor networks
Romain Couillet, Walid Hachem
In this article, the joint fluctuations of the extreme eigenvalues and eigenvectors of a large dimensional sample covariance matrix are analyzed when the associated population cova…