Gaussian Fading Is the Worst Fading
| dc.creator | Koch, Tobias | |
| dc.creator | Lapidoth, Amos | |
| dc.date | 2009-02-19 | |
| dc.date.accessioned | 2026-07-07T12:44:10Z | |
| dc.date.available | 2026-07-07T12:44:10Z | |
| dc.description | The capacity of peak-power limited, single-antenna, noncoherent, flat-fading channels with memory is considered. The emphasis is on the capacity pre-log, i.e., on the limiting ratio of channel capacity to the logarithm of the signal-to-noise ratio (SNR), as the SNR tends to infinity. It is shown that, among all stationary & ergodic fading processes of a given spectral distribution function and whose law has no mass point at zero, the Gaussian process gives rise to the smallest pre-log. The assumption that the law of the fading process has no mass point at zero is essential in the sense that there exist stationary & ergodic fading processes whose law has a mass point at zero and that give rise to a smaller pre-log than the Gaussian process of equal spectral distribution function. An extension of our results to multiple-input single-output fading channels with memory is also presented. | |
| dc.description | 12 pages, submitted to the IEEE Transactions on Information Theory | |
| dc.identifier | https://arxiv.org/abs/0902.3372 | |
| dc.identifier | http://arxiv.org/abs/0902.3372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220678 | |
| dc.subject | Information Theory | |
| dc.title | Gaussian Fading Is the Worst Fading | |
| dc.type | text |