Keywords
frequency estimation, sampling
Abstract
Single-tone frequency estimation from irregularly spaced samples is analyzed. The ratio of the Cramr-Rao Bound (CRB) for regularly spaced samples to the bound for irregularly spaced samples is presented and shown to be a globally convex function. It's minima and maxima over the domain of interest are identified which reveals that improvements in the CRB can be obtained using non-equally-spaced samples. For a given sampling density, the best estimates of frequency are obtained when half of the samples are taken at one end of the total available interval and the remaining samples are taken at the other end.
BYU ScholarsArchive Citation
Oliphant, Travis E., "Optimal Sampling for Single-Tone Frequency Estimation" (2004). Faculty Publications. 1311.
https://scholarsarchive.byu.edu/facpub/1311
Document Type
Report
Publication Date
2004-08-30
Permanent URL
http://hdl.lib.byu.edu/1877/39
Language
English
College
Ira A. Fulton College of Engineering and Technology
Department
Electrical and Computer Engineering
Copyright Status
© 2004 Travis E. Oliphant
Copyright Use Information
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