@article{0800177117bd4ce5a3d12afe80500310,
title = "Fundamental limitations on the resolution of deterministic signals",
abstract = "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 limit is approximated by a simple expression related to the signal to noise ratio, the signal waveform and the resolution success rate. As an example, we discuss the resolution of two complex exponentials with closely spaced frequencies. The theoretical result is compared with the empirical performance of model order selection methods such as the Akaike information criterion and the minimum description length.",
keywords = "Cram{\'e}r-Rao lower bound, Detection, Hypothesis testing, Minimum probability of error, Resolution",
author = "Alon Amar and Weiss, {Anthony J.}",
note = "Funding Information: Manuscript received January 11, 2007; revised February 12, 2008. First published August 19, 2008; current version published October 15, 2008. The associate editor coordinating the review of this paper and approving it for publication was Dr. Marcelo G. S. Bruno. This research was supported by the Israel Science Foundation (Grant 1232/04) and by the Institute for Future Technologies Research Named for Medvadi, Shwartzman, and Gensler.",
year = "2008",
doi = "10.1109/TSP.2008.929654",
language = "אנגלית",
volume = "56",
pages = "5309--5318",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "11",
}