Limiting spectral distribution for a class of random matrices
Journal of Multivariate Analysis
American Mathematical Monthly
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices
Journal of Multivariate Analysis
Journal of Combinatorial Theory Series A
Multiuser Detection
Random matrix theory and wireless communications
Communications and Information Theory
The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs)
The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs)
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
Large system performance of linear multiuser receivers in multipath fading channels
IEEE Transactions on Information Theory
Output MAI distributions of linear MMSE multiuser receivers in DS-CDMA systems
IEEE Transactions on Information Theory
The impact of frequency-flat fading on the spectral efficiency of CDMA
IEEE Transactions on Information Theory
Performance of reduced-rank linear interference suppression
IEEE Transactions on Information Theory
Performance of space-time codes for a large number of antennas
IEEE Transactions on Information Theory
A random matrix model of communication via antenna arrays
IEEE Transactions on Information Theory
Asymptotic normality of linear multiuser receiver outputs
IEEE Transactions on Information Theory
MMSE detection in asynchronous CDMA systems: an equivalence result
IEEE Transactions on Information Theory
MMSE analysis of certain large isometric random precoded systems
IEEE Transactions on Information Theory
Design of reduced-rank MMSE multiuser detectors using random matrix methods
IEEE Transactions on Information Theory
Spectral efficiency of multicarrier CDMA
IEEE Transactions on Information Theory
Asymptotic spectral efficiency of multiuser multisignature CDMA in frequency-selective channels
IEEE Transactions on Information Theory
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
Hi-index | 754.84 |
This paper consists of two parts. In the first part, asymptotic theorems about the product of certain structured random matrices are developed by means of the moment convergence theorem (MCT) and the free probability theory. This product of random matrices is a generalization of the product of a sample covariance matrix and an arbitrary Hermitian matrix. In the second part, the theoretical results obtained in the first part are applied to analyze a randomly spread asynchronous direct sequence-code-division multiple-access (DS-CDMA) system with both the number of users K and the number of chips per symbol N approaching infinity but the ratio K/N kept as a finite constant. Two levels of asynchronism are considered; one is symbol-asynchronous but chip-synchronous, and the other is chip-asynchronous. Asymptotic spectral distribution (ASD) of cross-correlation matrix and asymptotic spectral efficiency are investigated. Conditions under which CDMA systems with various synchronism levels (synchronous and two levels of asynchronism) have the same performance are also established.