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The Dual Channel Sinewave Model: Co-Prime Sparse Sampling, Parameter Estimation, and the Cramer-Rao Bound
KTH, School of Electrical Engineering (EES), Signal Processing.ORCID iD: 0000-0002-9011-6159
KTH, School of Electrical Engineering (EES), Signal Processing.ORCID iD: 0000-0002-2718-0262
2012 (English)In: Measurement, ISSN 0263-2241, Vol. 45, no 9, 2254-2263 p.Article in journal (Refereed) Published
Abstract [en]

The seven-parameter sine fit algorithm for a dual channel signal model with common frequency has been considered in a prior work as an accurate procedure for parameter estimation. In this paper, we investigate an approach in the dual channel sine fit where the signals from both channels are uniformly subsampled with coprime pair of sparse samplers and present analysis of the frequency estimation problem from undersampled measurements thereby relaxing the demand on devices and instruments by lowering the required sampling frequency as well as bandwidth. The Cramér–Rao Bound based on the coprime subsampled data set is derived and numerical illustrations are given showing the relation between the cost in performance based on the mean squared error and the employed coprime factors for a given measurement time.

Place, publisher, year, edition, pages
2012. Vol. 45, no 9, 2254-2263 p.
Keyword [en]
Coprime sampling; Sparse sampling; Cramér–Rao Bound (CRB); Dual channel measurement; Sinewave fit
National Category
Signal Processing
URN: urn:nbn:se:kth:diva-93748DOI: 10.1016/j.measurement.2012.03.021ISI: 000308735800010ScopusID: 2-s2.0-84865241239OAI: diva2:523630
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Available from: 2012-04-25 Created: 2012-04-25 Last updated: 2015-06-26Bibliographically approved

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