Technical Program

Paper Detail

Paper IDS.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.

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2021 IEEE International Symposium on Information Theory

11-16 July 2021 | Melbourne, Victoria, Australia

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