Capacity per Unit Energy of Fading Channels with a Peak Constraint
| dc.creator | Sethuraman, Vignesh | |
| dc.creator | Hajek, Bruce | |
| dc.date | 2005-04-18 | |
| dc.date | 2005-06-11 | |
| dc.date.accessioned | 2026-07-07T08:17:46Z | |
| dc.date.available | 2026-07-07T08:17:46Z | |
| dc.description | A discrete-time single-user scalar channel with temporally correlated Rayleigh fading is analyzed. There is no side information at the transmitter or the receiver. A simple expression is given for the capacity per unit energy, in the presence of a peak constraint. The simple formula of Verdu for capacity per unit cost is adapted to a channel with memory, and is used in the proof. In addition to bounding the capacity of a channel with correlated fading, the result gives some insight into the relationship between the correlation in the fading process and the channel capacity. The results are extended to a channel with side information, showing that the capacity per unit energy is one nat per Joule, independently of the peak power constraint. A continuous-time version of the model is also considered. The capacity per unit energy subject to a peak constraint (but no bandwidth constraint) is given by an expression similar to that for discrete time, and is evaluated for Gauss-Markov and Clarke fading channels. | |
| dc.description | Journal version of paper presented in ISIT 2003 - now accepted for publication in IEEE Transactions on Information Theory | |
| dc.identifier | https://arxiv.org/abs/cs/0504085 | |
| dc.identifier | http://arxiv.org/abs/cs/0504085 | |
| dc.identifier | doi:10.1109/TIT.2005.853329 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134208 | |
| dc.subject | Information Theory | |
| dc.title | Capacity per Unit Energy of Fading Channels with a Peak Constraint | |
| dc.type | text |