Resolution of closely spaced deterministic signals with given success rate

Alon Amar, Anthony J. Weiss

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Fundamental limitations on estimation accuracy are well known and include a variety of lower bounds including the celebrated Cramer Rao Lower Bound. However, similar theoretical limitations on resolution have not yet been presented. We exploit results from detection theory for deriving fundamental limitations on resolution. The results are general and are not based on any specific resolution technique and therefore hold for any method and for any resolution success rate. We show that for signals with additive white Gaussian noise the resolution is given by a simple expression related to signal to noise ratio, the signals waveforms and the resolution success rate. As an example, we discuss the resolution of two sinusoids with closely spaced frequencies. The result is compared with the empirical performance of the Akaike information criterion, and the Minimum Description Length criterion for model order selection.

Original languageEnglish
Title of host publicationProceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
Pages1791-1795
Number of pages5
DOIs
StatePublished - 2007
Event2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, France
Duration: 24 Jun 200729 Jun 2007

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8101

Conference

Conference2007 IEEE International Symposium on Information Theory, ISIT 2007
Country/TerritoryFrance
CityNice
Period24/06/0729/06/07

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