A CLT FOR INFORMATION-THEORETIC STATISTICS OF NON-CENTERED GRAM RANDOM MATRICES

DOI10.1142/S2010326311500109zbMath1262.15039arXiv1107.0145WikidataQ57432176 ScholiaQ57432176MaRDI QIDQ2884857

Jack W. Silverstein, Malika Kharouf, Jamal Najim, Walid Hachem

Publication date: 18 May 2012

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0145

zbMATH Keywords

Stieltjes transformrandom matricescentral limit theoremspectral measureShannon capacitywireless communicationmultiple antenna radio channel

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Information theory (general) (94A15) Communication theory (94A05) Coding theorems (Shannon theory) (94A24)

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Gaussian fluctuations for linear spectral statistics of large random covariance matrices, On bilinear forms based on the resolvent of large random matrices, Random matrix theory in statistics: a review, A CLT for linear spectral statistics of large random information-plus-noise matrices, On the global fluctuations of block Gaussian matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices
• A CLT for a band matrix model
• Fluctuations of eigenvalues and second order Poincaré inequalities
• Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
• Spectral analysis of large dimensional random matrices
• Some limit theorems for the eigenvalues of a sample covariance matrix
• Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices
• The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
• On the empirical distribution of eigenvalues of a class of large dimensional random matrices
• On fluctuations of eigenvalues of random Hermitian matrices.
• On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices
• A CLT for information-theoretic statistics of Gram random matrices with a given variance profile
• Deterministic equivalents for certain functionals of large random matrices
• Second order freeness and fluctuations of random matrices. I: Gaussian and Wishart matrices and cyclic Fock spaces
• MIMO Capacity Through Correlated Channels in the Presence of Correlated Interferers and Noise: A (Not So) Large N Analysis
• Asymptotic Mutual Information Statistics of Separately Correlated Rician Fading MIMO Channels
• A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels
• On the Capacity Achieving Covariance Matrix for Rician MIMO Channels: An Asymptotic Approach
• Asymptotic properties of large random matrices with independent entries
• Fluctations of the empirical law of large random matrices