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Frequency estimation from proper sets of correlations
KTH, Superseded Departments, Signals, Sensors and Systems.
KTH, Superseded Departments, Signals, Sensors and Systems.ORCID iD: 0000-0002-2718-0262
2002 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 50, no 4, 791-802 p.Article in journal (Refereed) Published
Abstract [en]

As a complement to the periodogram, low-complexity frequency estimators are of interest. One such estimator is based on Prony's method and rely on phase information of the auto correlations. Without prior knowledge of the frequency (e.g., a given frequency interval), the frequency cannot be unambiguously estimated from a single correlation only. In this paper, we introduce a new method of phase unwrapping using an arbitrary number (more than one) of correlations. From this arbitrary set of correlations, we propose a weighted average estimator. We derive the asymptotic performance and show how the correlation lags should be properly chosen. From a design aspect, there is often a restriction of using a fixed number of computations. In addition, we therefore propose a strategy to find a proper set of correlation lags subject to a given computational complexity. Finally, simulation results that lend support to the theoretical findings are included.

Place, publisher, year, edition, pages
2002. Vol. 50, no 4, 791-802 p.
Keyword [en]
frequency estimation, low complexity, optimization, phase unwrapping, single-frequency, threshold
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-21391DOI: 10.1109/78.992122ISI: 000174492400003OAI: oai:DiVA.org:kth-21391DiVA: diva2:340089
Note
QC 20100525 QC 20111121Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Händel, Peter

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