frequency estimation, sampling
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). All Faculty Publications. 1311.
Ira A. Fulton College of Engineering and Technology
Electrical and Computer Engineering
© 2004 Travis E. Oliphant
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