@inproceedings{a84f027022d54503934f78e7f32d8d5e,
title = "Gaussian distortion-rate function under sub-nyquist nonuniform sampling",
abstract = "A bound on the amount of distortion in the reconstruction of a stationary Gaussian process from its rate-limited samples is derived. The bound is based on a combined sampling and source coding problem in which a Gaussian stationary process is described from a compressed version of its values on an infinite discrete set. We show that the distortion in reconstruction cannot be lower than the distortion-rate function based on optimal uniform filter-bank sampling using a sufficient number of sampling branches. This can be seen as an extension of Landau's theorem on a necessary condition for optimal recovery of a signal from its samples, in the sense that it describes both the error as a result of sub-sampling and the error incurred due to lossy compression of the samples.",
author = "Alon Kipnis and Goldsmith, \{Andrea J.\} and Eldar, \{Yonina C.\}",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014 ; Conference date: 30-09-2014 Through 03-10-2014",
year = "2014",
month = jan,
day = "30",
doi = "10.1109/ALLERTON.2014.7028546",
language = "English (US)",
series = "2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "874--880",
booktitle = "2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014",
address = "United States",
}