Capacity of The Discrete-Time Non-Coherent Memoryless Gaussian Channels at Low SNR
| dc.creator | Rezki, Z. | |
| dc.creator | Haccoun, David | |
| dc.creator | Gagnon, François | |
| dc.date | 2008-05-02 | |
| dc.date.accessioned | 2026-07-07T09:36:41Z | |
| dc.date.available | 2026-07-07T09:36:41Z | |
| dc.description | We address the capacity of a discrete-time memoryless Gaussian channel, where the channel state information (CSI) is neither available at the transmitter nor at the receiver. The optimal capacity-achieving input distribution at low signal-to-noise ratio (SNR) is precisely characterized, and the exact capacity of a non-coherent channel is derived. The derived relations allow to better understanding the capacity of non-coherent channels at low SNR. Then, we compute the non-coherence penalty and give a more precise characterization of the sub-linear term in SNR. Finally, in order to get more insight on how the optimal input varies with SNR, upper and lower bounds on the non-zero mass point location of the capacity-achieving input are given. | |
| dc.description | 5 pages and 4 figures. To appear in Proceeding of International Symposium on Information Theory (ISIT 2008) | |
| dc.identifier | https://arxiv.org/abs/0805.0272 | |
| dc.identifier | http://arxiv.org/abs/0805.0272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160204 | |
| dc.subject | Information Theory | |
| dc.title | Capacity of The Discrete-Time Non-Coherent Memoryless Gaussian Channels at Low SNR | |
| dc.type | text |