An Estimation-Range Extended Autocorrelation-Based Frequency Estimator

We address the problem of autocorrelation-based single-tone frequency estimation. It has been shown that the frequency can be estimated from the phase of the available signal's autocorrelation with fixed lag. A large lag results in better performance but at the same time limits the estimatio...

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Main Authors: Cui Yang, Gang Wei, Fang-jiong Chen
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://dx.doi.org/10.1155/2009/961938
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author Cui Yang
Gang Wei
Fang-jiong Chen
author_facet Cui Yang
Gang Wei
Fang-jiong Chen
author_sort Cui Yang
collection DOAJ
description We address the problem of autocorrelation-based single-tone frequency estimation. It has been shown that the frequency can be estimated from the phase of the available signal's autocorrelation with fixed lag. A large lag results in better performance but at the same time limits the estimation range. New methods have been proposed to extend the estimation range. In this paper, a new estimator which is a robust hybrid of periodogram-based and autocorrelation-based frequency estimators is presented. We propose to calculate the autocorrelation function with spectral lines inside the available signal's main lobe spectrum. We show that the new estimator obtains full estimation range of [−π,π). The theoretical performance bound is also deduced. Performance analysis and simulations demonstrate that the proposed estimator approaches the CRLB.
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spelling doaj.art-8bd02b4f629644aa985f17977885354e2022-12-21T19:13:23ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802009-01-01200910.1155/2009/961938An Estimation-Range Extended Autocorrelation-Based Frequency EstimatorCui YangGang WeiFang-jiong ChenWe address the problem of autocorrelation-based single-tone frequency estimation. It has been shown that the frequency can be estimated from the phase of the available signal's autocorrelation with fixed lag. A large lag results in better performance but at the same time limits the estimation range. New methods have been proposed to extend the estimation range. In this paper, a new estimator which is a robust hybrid of periodogram-based and autocorrelation-based frequency estimators is presented. We propose to calculate the autocorrelation function with spectral lines inside the available signal's main lobe spectrum. We show that the new estimator obtains full estimation range of [−π,π). The theoretical performance bound is also deduced. Performance analysis and simulations demonstrate that the proposed estimator approaches the CRLB.http://dx.doi.org/10.1155/2009/961938
spellingShingle Cui Yang
Gang Wei
Fang-jiong Chen
An Estimation-Range Extended Autocorrelation-Based Frequency Estimator
EURASIP Journal on Advances in Signal Processing
title An Estimation-Range Extended Autocorrelation-Based Frequency Estimator
title_full An Estimation-Range Extended Autocorrelation-Based Frequency Estimator
title_fullStr An Estimation-Range Extended Autocorrelation-Based Frequency Estimator
title_full_unstemmed An Estimation-Range Extended Autocorrelation-Based Frequency Estimator
title_short An Estimation-Range Extended Autocorrelation-Based Frequency Estimator
title_sort estimation range extended autocorrelation based frequency estimator
url http://dx.doi.org/10.1155/2009/961938
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AT fangjiongchen anestimationrangeextendedautocorrelationbasedfrequencyestimator
AT cuiyang estimationrangeextendedautocorrelationbasedfrequencyestimator
AT gangwei estimationrangeextendedautocorrelationbasedfrequencyestimator
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