Matrix analysis
Limiting spectral distribution for a class of random matrices
Journal of Multivariate Analysis
On the eigenvectors of large dimensional sample covariance matrices
Journal of Multivariate Analysis
Elements of information theory
Elements of information theory
The SVD and reduced rank signal processing
Signal Processing - Theme issue on singular value decomposition
Asymptotics of eigenvalues and unit-length eigenvectors of sample variance and correlation matrices
Journal of Multivariate Analysis
Iterative solution methods
On the empirical distribution of eigenvalues of a class of large dimensional random matrices
Journal of Multivariate Analysis
Analysis of the limiting spectral distribution of large dimensional random matrices
Journal of Multivariate Analysis
Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices
Journal of Multivariate Analysis
Journal of Combinatorial Theory Series A
Journal of Multivariate Analysis
Wishart and pseudo-Wishart distributions and some applications to shape theory
Journal of Multivariate Analysis
A determinant representation for the distribution of quadratic forms in complex normal vectors
Journal of Multivariate Analysis
Multiuser Detection
Array Signal Processing: Concepts and Techniques
Array Signal Processing: Concepts and Techniques
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Rayleigh fading multi-antenna channels
EURASIP Journal on Applied Signal Processing - Space-time coding and its applications - part I
Journal of Approximation Theory
Dependency Detection in MobiMine and Random Matrices
PKDD '02 Proceedings of the 6th European Conference on Principles of Data Mining and Knowledge Discovery
Convergence Rates of Spectral Distributions of Large Sample Covariance Matrices
SIAM Journal on Matrix Analysis and Applications
On the Entropy of a Hidden Markov Process
DCC '04 Proceedings of the Conference on Data Compression
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Transmission and reception with multiple antennas: theoretical foundations
Communications and Information Theory
Reduced-rank adaptive filtering
IEEE Transactions on Signal Processing
Deconstructing multiantenna fading channels
IEEE Transactions on Signal Processing
Large system performance of second-order linear multistage CDMA receivers
IEEE Transactions on Wireless Communications
Downlink capacity of interference-limited MIMO systems with joint detection
IEEE Transactions on Wireless Communications
Blind multiuser detection: a subspace approach
IEEE Transactions on Information Theory
Fading channels: information-theoretic and communications aspects
IEEE Transactions on Information Theory
Random sequence multisets for synchronous code-division multiple-access channels
IEEE Transactions on Information Theory
A multistage representation of the Wiener filter based on orthogonal projections
IEEE Transactions on Information Theory
Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading
IEEE Transactions on Information Theory
Spectral efficiency of CDMA with random spreading
IEEE Transactions on Information Theory
Linear multiuser receivers: effective interference, effective bandwidth and user capacity
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Linear multiuser receivers in random environments
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Large system performance of linear multiuser receivers in multipath fading channels
IEEE Transactions on Information Theory
Optimum asymptotic multiuser efficiency of randomly spread CDMA
IEEE Transactions on Information Theory
Asymptotically optimal water-filling in vector multiple-access channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
The impact of frequency-flat fading on the spectral efficiency of CDMA
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Performance of reduced-rank linear interference suppression
IEEE Transactions on Information Theory
Space-time transmit precoding with imperfect feedback
IEEE Transactions on Information Theory
Capacity scaling in MIMO wireless systems under correlated fading
IEEE Transactions on Information Theory
Spectral efficiency in the wideband regime
IEEE Transactions on Information Theory
Iterative multiuser joint decoding: unified framework and asymptotic analysis
IEEE Transactions on Information Theory
Performance of space-time codes for a large number of antennas
IEEE Transactions on Information Theory
On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels
IEEE Transactions on Information Theory
Large-system performance analysis of blind and group-blind multiuser receivers
IEEE Transactions on Information Theory
A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors
IEEE Transactions on Information Theory
Capacity of multiple-transmit multiple-receive antenna architectures
IEEE Transactions on Information Theory
MMSE analysis of certain large isometric random precoded systems
IEEE Transactions on Information Theory
On the achievable throughput of a multiantenna Gaussian broadcast channel
IEEE Transactions on Information Theory
Uniform power allocation in MIMO channels: a game-theoretic approach
IEEE Transactions on Information Theory
On the asymptotic performance of the decorrelator
IEEE Transactions on Information Theory
On the capacity of spatially correlated MIMO Rayleigh-fading channels
IEEE Transactions on Information Theory
Multiple-antenna capacity in the low-power regime
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels
IEEE Transactions on Information Theory
Capacity of multiple-antenna systems with both receiver and transmitter channel state information
IEEE Transactions on Information Theory
The pseudo-Wishart distribution and its application to MIMO systems
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Capacity of MIMO systems with semicorrelated flat fading
IEEE Transactions on Information Theory
Outage mutual information of space-time MIMO channels
IEEE Transactions on Information Theory
On the duality of Gaussian multiple-access and broadcast channels
IEEE Transactions on Information Theory
Design of reduced-rank MMSE multiuser detectors using random matrix methods
IEEE Transactions on Information Theory
IEEE Communications Magazine
Array gain and capacity for known random channels with multiple element arrays at both ends
IEEE Journal on Selected Areas in Communications
Design and analysis of low-complexity interference mitigation on vector channels
IEEE Journal on Selected Areas in Communications
Asymptotic analysis of improved linear receivers for BPSK-CDMA subject to fading
IEEE Journal on Selected Areas in Communications
Multicell uplink spectral efficiency of coded DS-CDMA with random signatures
IEEE Journal on Selected Areas in Communications
From theory to practice: an overview of MIMO space-time coded wireless systems
IEEE Journal on Selected Areas in Communications
Multiple-input-multiple-output measurements and modeling in Manhattan
IEEE Journal on Selected Areas in Communications
Spectral efficiency of MIMO multiaccess systems with single-user decoding
IEEE Journal on Selected Areas in Communications
Optimizing MIMO antenna systems with channel covariance feedback
IEEE Journal on Selected Areas in Communications
Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems
IEEE Journal on Selected Areas in Communications
Capacity limits of MIMO channels
IEEE Journal on Selected Areas in Communications
MIMO capacity with interference
IEEE Journal on Selected Areas in Communications
Capacity of MIMO channels: asymptotic evaluation under correlated fading
IEEE Journal on Selected Areas in Communications
Ordered Statistics Based Rate Allocation Scheme for Closed Loop MIMO-OFDM System
WIOPT '05 Proceedings of the Third International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Transmission and reception with multiple antennas: theoretical foundations
Communications and Information Theory
The impact of quasi-equally spaced sensor layouts on field reconstruction
Proceedings of the 6th international conference on Information processing in sensor networks
Vector precoding in wireless communications: a replica symmetric analysis
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
A POPULATION MONTE CARLO METHOD FOR GENERATING RANDOM MATRICES WITH KNOWN CHARACTERISTICS
Applied Artificial Intelligence
Using cross-system diversity in heterogeneous networks: Throughput optimization
Performance Evaluation
Journal of Multivariate Analysis
The space frontier: physical limits of multiple antenna information transfer
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Reduced-complexity multicell decoding systems with multiple antennas at the base station
Proceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wirelessly
Quantized transmit beamforming with antenna selection in a MIMO channel
Proceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wirelessly
On the Mutual information distribution of MIMO rician fading channels
IEEE Transactions on Communications
Fault detection in multivariate signals with applications to gas turbines
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Consistent reduced-rank LMMSE estimation with a limited number of samples per observation dimension
IEEE Transactions on Signal Processing
Generalized consistent estimation on low-rank Krylov subspaces of arbitrarily high dimension
IEEE Transactions on Signal Processing
Joint beamforming for multiaccess MIMO systems with finite rate feedback
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
Asymptotic performance of linear receivers in MIMO fading channels
IEEE Transactions on Information Theory
On certain large random Hermitian Jacobi matrices with applications to wireless communications
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Bayesian inference for multiple antenna cognitive receivers
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
Asymptotic analysis of correlated multi-antenna broadcast channels
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
Downlink capacity of distributed antenna systems in a multi-cell environment
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
Mismatched estimation and relative entropy
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
On the ergodic capacity and precoder design of flat fading MIMO systems equipped with MMSE receivers
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
On the diversity: multiplexing tradeoff in multiple-relay network
IEEE Transactions on Information Theory
Performance of vector perturbation multiuser MIMO systems with limited feedback
IEEE Transactions on Communications
On convex vector precoding for multiuser MIMO broadcast channels
IEEE Transactions on Signal Processing
On overloaded vector precoding for single-user MIMO channels
IEEE Transactions on Wireless Communications
Large system spectral analysis of covariance matrix estimation
IEEE Transactions on Information Theory
A review on spectrum sensing for cognitive radio: challenges and solutions
EURASIP Journal on Advances in Signal Processing - Special issue on advanced signal processing for cognitive radio networks
Block diagonalization in the MIMO broadcast channel with delayed CSIT
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Performance analysis of channel inversion over MIMO channels
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
The multicell processing capacity of the cellular MIMO uplink channel under correlated fading
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Dual hop MIMO relaying with orthogonal space-time block codes
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Diversity analysis of bit-interleaved coded multiple beamforming
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Asymptotic analysis of multidimensional jittered sampling
IEEE Transactions on Signal Processing
Degrees of freedom of a communication channel: using DOF singular values
IEEE Transactions on Information Theory
Information theoretic capacity of cellular multiple access channel with shadow fading
IEEE Transactions on Communications
On the condition number distribution of complex wishart matrices
IEEE Transactions on Communications
Secure transmission with multiple antennas I: the MISOME wiretap channel
IEEE Transactions on Information Theory
Analytical performance of amplify-and-forward MIMO relaying with orthogonal space-time block codes
IEEE Transactions on Communications
Mismatched estimation and relative entropy
IEEE Transactions on Information Theory
Diversity analysis of bit-interleaved coded multiple beamforming
IEEE Transactions on Communications
Finite-SNR diversity-multiplexing tradeoff via asymptotic analysis of large MIMO systems
IEEE Transactions on Information Theory
Why does the Kronecker model result in misleading capacity estimates?
IEEE Transactions on Information Theory
Information theoretic bounds for compressed sensing
IEEE Transactions on Information Theory
A Bayesian framework for collaborative multi-source signal sensing
IEEE Transactions on Signal Processing
On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach
IEEE Transactions on Information Theory
Capacity of channels with frequency-selective and time-selective fading
IEEE Transactions on Information Theory
Asymptotic mutual information for Rician MIMO-MA channels with arbitrary inputs: a replica analysis
IEEE Transactions on Communications
On information rates of the fading Wyner cellular model via the thouless formula for the strip
IEEE Transactions on Information Theory
Optimization of training and feedback overhead for beamforming over block fading channels
IEEE Transactions on Information Theory
Statistical precoding with decision feedback equalization over a correlated MIMO channel
IEEE Transactions on Signal Processing
Journal of Multivariate Analysis
Probabilistic Analysis of Semidefinite Relaxation for Binary Quadratic Minimization
SIAM Journal on Optimization
Adaptive Time-Frequency Detection and Filtering for Imaging in Heavy Clutter
SIAM Journal on Imaging Sciences
Detection of heterogeneous samples based on loaded generalized inner product method
Digital Signal Processing
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Random 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.