Asymptotic Behavior of Error Exponents in the Wideband Regime
| dc.creator | Wu, X. | |
| dc.creator | Srikant, R. | |
| dc.date | 2005-08-31 | |
| dc.date.accessioned | 2026-07-07T08:15:37Z | |
| dc.date.available | 2026-07-07T08:15:37Z | |
| dc.description | In this paper, we complement Verdú's work on spectral efficiency in the wideband regime by investigating the fundamental tradeoff between rate and bandwidth when a constraint is imposed on the error exponent. Specifically, we consider both AWGN and Rayleigh-fading channels. For the AWGN channel model, the optimal values of $R_z(0)$ and $\dot{R_z}(0)$ are calculated, where $R_z(1/B)$ is the maximum rate at which information can be transmitted over a channel with bandwidth $B/2$ when the error-exponent is constrained to be greater than or equal to $z.$ Based on this calculation, we say that a sequence of input distributions is near optimal if both $R_z(0)$ and $\dot{R_z}(0)$ are achieved. We show that QPSK, a widely-used signaling scheme, is near-optimal within a large class of input distributions for the AWGN channel. Similar results are also established for a fading channel where full CSI is available at the receiver. | |
| dc.description | 59 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cs/0509001 | |
| dc.identifier | http://arxiv.org/abs/cs/0509001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133505 | |
| dc.subject | Information Theory | |
| dc.title | Asymptotic Behavior of Error Exponents in the Wideband Regime | |
| dc.type | text |