An integral formula for large random rectangular matrices and its application to analysis of linear vector channels
| dc.creator | Kabashima, Yoshiyuki | |
| dc.date | 2008-02-11 | |
| dc.date | 2008-02-21 | |
| dc.date.accessioned | 2026-07-07T09:21:54Z | |
| dc.date.available | 2026-07-07T09:21:54Z | |
| dc.description | A statistical mechanical framework for analyzing random linear vector channels is presented in a large system limit. The framework is based on the assumptions that the left and right singular value bases of the rectangular channel matrix $\bH$ are generated independently from uniform distributions over Haar measures and the eigenvalues of $\bH^{\rm T}\bH$ asymptotically follow a certain specific distribution. These assumptions make it possible to characterize the communication performance of the channel utilizing an integral formula with respect to $\bH$, which is analogous to the one introduced by Marinari {\em et. al.} in {\em J. Phys. A} {\bf 27}, 7647 (1994) for large random square (symmetric) matrices. A computationally feasible algorithm for approximately decoding received signals based on the integral formula is also provided. | |
| dc.description | Submitted to PHYSCOMNET08 | |
| dc.identifier | https://arxiv.org/abs/0802.1372 | |
| dc.identifier | http://arxiv.org/abs/0802.1372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155191 | |
| dc.subject | Information Theory | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | An integral formula for large random rectangular matrices and its application to analysis of linear vector channels | |
| dc.type | text |