2020 IEEE International Symposium
on Information Theory
21-26 June 2020 • Los Angeles, California, USA
| Paper ID | S.12.1 | ||
| Paper Title | Lossy coding of a time-limited piece of a band-limited white Gaussian source | ||
| Authors | Youssef Jaffal, Ibrahim Abou-Faycal, American University of Beirut, Lebanon | ||
| Session | S.12: Second-order Analysis | ||
| Presentation | Lecture | ||
| Track | Shannon Theory | ||
| Manuscript | Click here to download the manuscript | ||
| Virtual Presentation | Click here to watch in the Virtual Symposium | ||
| Abstract | We study the rates of source coding a T-seconds finite duration piece from a W-Hz band-limited real white Gaussian process with the mean squared error as a distortion measure. First we derive a discrete representation by projecting the signal of interest on the set of prolate spheroidal wave functions. We derive next a lower bound and an upper bound for the smallest rate that guarantees a distortion level with a probability (1-\epsilon) and we numerically evaluate these bounds. We also show that the derived bounds are asymptotically tight where they converge to Shannon's formula. | ||
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia
