@inproceedings{5384348078124fdaa9e08049f5a770a3,
title = "Analog coding of a source with erasures",
abstract = "Analog coding decouples the tasks of protecting against erasures and noise. For erasure correction, it creates an 'analog redundancy' by means of band-limited discrete Fourier transform (DFT) interpolation, or more generally, by an over-complete expansion based on a frame. We examine the analog coding paradigm for the dual setup of a source with 'erasure' side-information (SI) at the encoder. The excess rate of analog coding above the rate-distortion function (RDF) is associated with the energy of the inverse of submatrices of the frame, where each submatrix corresponds to a possible erasure pattern. We give a partial theoretical as well as numerical evidence that a variety of structured frames, in particular DFT frames with difference-set spectrum and more general equiangular tight frames (ETFs), with a common MANOVA limiting spectrum, minimize the excess rate over all possible frames. However, they do not achieve the RDF even in the limit as the dimension goes to infinity.",
keywords = "DFT, Data compression, Jacobi/MANOVA distribution, Welch bound, analog codes, difference set, equiangular tight frames, frames, side information, signal amplification",
author = "Marina Haikin and Ram Zamir",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Symposium on Information Theory, ISIT 2016 ; Conference date: 10-07-2016 Through 15-07-2016",
year = "2016",
month = aug,
day = "10",
doi = "https://doi.org/10.1109/ISIT.2016.7541664",
language = "الإنجليزيّة",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2074--2078",
booktitle = "Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory",
address = "الولايات المتّحدة",
}