NDLI: Angular resolution limit of two closely-spaced point sources based on information theoretic criteria

Content Provider	IEEE Xplore Digital Library
Author	Wei Zhu Jun Tang Shuang Wan
Copyright Year	2014
Description	Author affiliation: Dept. of Electron. Eng., Tsinghua Univ., Beijing, China (Wei Zhu; Jun Tang; Shuang Wan)
Abstract	The statistical angular resolution limit (RL) of two closely-spaced point sources in array processing is analyzed based on the framework of hypothesis test. For the first time, the general case where neither the source signals nor the parameters of interest are known under both the null hypothesis and the alternative is considered. Using the theory of misspecified model, the asymptotic distribution of the twice log-generalized-likelihood-ratio statistic under the alternative hypothesis is derived. It is shown to be non-central chi-squared distributed with degrees of freedom equal to the difference in dimensionality of the parameters under both hypotheses, and non-centrality parameter closely related to the Kullback-Leibler divergence of the probability density functions under both hypotheses. The information-theoretic-criteria-based model order selection rules are adopted and a novel detection-based RL is derived. The Cramér-Rao bound (CRB)-based RL is also derived for comparison. It is observed that the detection-based RL and the CRB-based RL are fundamentally different in such general case. Numerical simulations verify the theoretical results.
Sponsorship	IEEE Signal Process. Soc.
Starting Page	86
Ending Page	90
File Size	153894
Page Count	5
File Format	PDF
ISBN	9781479928934
DOI	10.1109/ICASSP.2014.6853563
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-05-04
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal resolution Signal to noise ratio Arrays Maximum likelihood estimation Testing Context information-theoretic-criteria resolution limit misspecified model array processing hypothesis test generalized likelihood ratio test Cramér-Rao bound
Content Type	Text
Resource Type	Article

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