On Optimum Single-Tone Frequency Estimation Using Non-uniform Samples

Hing Cheung SO
Kenneth Wing Kin LUI

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A    No.2    pp.823-825
Publication Date: 2011/02/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.823
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
non-uniform sampling,  frequency estimation,  single-tone,  

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Frequency estimation of a complex single-tone in additive white Gaussian noise from irregularly-spaced samples is addressed. In this Letter, we study the periodogram and weighted phase averager, which are standard solutions in the uniform sampling scenarios, for tackling the problem. It is shown that the estimation performance of both approaches can attain the optimum benchmark of the Cramér-Rao lower bound, although the former technique has a smaller threshold signal-to-noise ratio.