On slow-fading non-separable correlation MIMO systems
| dc.creator | Far, Reza Rashidi | |
| dc.creator | Oraby, Tamer | |
| dc.creator | Bryc, Wlodzimierz | |
| dc.creator | Speicher, Roland | |
| dc.date | 2007-07-12 | |
| dc.date.accessioned | 2026-07-07T09:59:18Z | |
| dc.date.available | 2026-07-07T09:59:18Z | |
| dc.description | In a frequency selective slow-fading channel in a MIMO system, the channel matrix is of the form of a block matrix. We propose a method to calculate the limit of the eigenvalue distribution of block matrices if the size of the blocks tends to infinity. We will also calculate the asymptotic eigenvalue distribution of $HH^*$, where the entries of $H$ are jointly Gaussian, with a correlation of the form $E[h_{pj}\bar h_{qk}]= \sum_{s=1}^t Ψ^{(s)}_{jk}\hatΨ^{(s)}_{pq}$ (where $t$ is fixed and does not increase with the size of the matrix). We will use an operator-valued free probability approach to achieve this goal. Using this method, we derive a system of equations, which can be solved numerically to compute the desired eigenvalue distribution. | |
| dc.description | 24 pages and 3 figures | |
| dc.identifier | https://arxiv.org/abs/0707.1739 | |
| dc.identifier | http://arxiv.org/abs/0707.1739 | |
| dc.identifier | IEEE Trans. Information Theory, Vol. 54, No. 2, pp.544-553, Feb. 2008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167972 | |
| dc.subject | Information Theory | |
| dc.title | On slow-fading non-separable correlation MIMO systems | |
| dc.type | text |