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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Morales-Jimenez, D. Paris, J.F. Entrambasaguas, J.T. Kai-Kit Wong |
| Copyright Year | 1972 |
| Abstract | The statistical properties of Wishart matrices have been extensively used to analyze the performance of multiple-input multiple-output (MIMO) systems. In particular, the signal-to-noise ratio (SNR) output statistics of several MIMO systems depends on the diagonal distribution of a complex Wishart matrix. In this paper, we derive the joint density of the diagonal elements of a complex Wishart matrix, which follows a multivariate chi-square distribution. The density expression is in the form of an infinite series representation which converges rapidly and is easy to compute. This expression is used to obtain the distribution of the maximum of the diagonal elements, which allows analyzing the performance of two different MIMO systems under practical conditions. First, our statistical results are applied to the outage probability characterization of MIMO systems with receive antenna selection in spatially correlated Rayleigh fading. Then, the same results are used to analyze the outage probability of transmit beamforming systems under limited-rate feedback. |
| Starting Page | 3475 |
| Ending Page | 3484 |
| Page Count | 10 |
| File Size | 635225 |
| File Format | |
| ISSN | 00906778 |
| Volume Number | 59 |
| Issue Number | 12 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-12-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | MIMO Correlation Polynomials Receiving antennas Array signal processing Fading Multivariate regression transmit beamforming Complex Wishart matrix multivariate chi-square distribution receive antenna selection spatial correlation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering |
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