On the Spectrum of Large Random Hermitian Finite-Band Matrices
| dc.creator | Somekh, Oren | |
| dc.creator | Simeone, Osvalso | |
| dc.creator | Zaidel, Benjamin M. | |
| dc.creator | Poor, H. Vincent | |
| dc.creator | Shamai, Shlomo | |
| dc.date | 2008-05-10 | |
| dc.date.accessioned | 2026-07-07T09:38:12Z | |
| dc.date.available | 2026-07-07T09:38:12Z | |
| dc.description | The open problem of calculating the limiting spectrum (or its Shannon transform) of increasingly large random Hermitian finite-band matrices is described. In general, these matrices include a finite number of non-zero diagonals around their main diagonal regardless of their size. Two different communication setups which may be modeled using such matrices are presented: a simple cellular uplink channel, and a time varying inter-symbol interference channel. Selected recent information-theoretic works dealing directly with such channels are reviewed. Finally, several characteristics of the still unknown limiting spectrum of such matrices are listed, and some reflections are touched upon. | |
| dc.description | Presented in the "open problems" session of the 2008 Information Theory and Applications (ITA) workshop, UCSD | |
| dc.identifier | https://arxiv.org/abs/0805.1437 | |
| dc.identifier | http://arxiv.org/abs/0805.1437 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160724 | |
| dc.subject | Information Theory | |
| dc.title | On the Spectrum of Large Random Hermitian Finite-Band Matrices | |
| dc.type | text |