On the Feedback Capacity of Stationary Gaussian Channels
| dc.creator | Kim, Young-Han | |
| dc.date | 2005-09-27 | |
| dc.date | 2005-11-14 | |
| dc.date.accessioned | 2026-07-07T08:15:40Z | |
| dc.date.available | 2026-07-07T08:15:40Z | |
| dc.description | The capacity of stationary additive Gaussian noise channels with feedback is characterized as the solution to a variational problem. Toward this end, it is proved that the optimal feedback coding scheme is stationary. When specialized to the first-order autoregressive moving-average noise spectrum, this variational characterization yields a closed-form expression for the feedback capacity. In particular, this result shows that the celebrated Schalkwijk--Kailath coding scheme achieves the feedback capacity for the first-order autoregressive moving-average Gaussian channel, resolving a long-standing open problem studied by Butman, Schalkwijk--Tiernan, Wolfowitz, Ozarow, Ordentlich, Yang--Kavcic--Tatikonda, and others. | |
| dc.description | 11 pages, v2: corrected a few typos, 43rd Annual Allerton Conference on Communication, Control and Computing, Monticello, IL, USA, Sept. 28-30, 2005 | |
| dc.identifier | https://arxiv.org/abs/cs/0509078 | |
| dc.identifier | http://arxiv.org/abs/cs/0509078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133521 | |
| dc.subject | Information Theory | |
| dc.title | On the Feedback Capacity of Stationary Gaussian Channels | |
| dc.type | text |