Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping

In the case of low signal-to-noise ratio, for the frequency estimation of single-frequency sinusoidal signals with additive white Gaussian noise, the phase unwrapping estimator usually performs poorly. In this paper, an efficient and accurate method is proposed to address this problem. Different fro...

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Main Authors: Shen Zhou, Liu Rongfang
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/7396074
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spelling doaj-13026ef218ad40f9a639dbd62b2c16e72020-11-25T01:36:56ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/73960747396074Efficient and Accurate Frequency Estimator under Low SNR by Phase UnwrappingShen Zhou0Liu Rongfang1University of Chinese Academy of Sciences, Beijing, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, Beijing, ChinaIn the case of low signal-to-noise ratio, for the frequency estimation of single-frequency sinusoidal signals with additive white Gaussian noise, the phase unwrapping estimator usually performs poorly. In this paper, an efficient and accurate method is proposed to address this problem. Different from other methods, based on fast Fourier transform, the sampled signals are estimated with the variances approaching the Cramer-Rao bound, followed with the maximum likelihood estimation of the frequency. Experimental results reveal that our estimator has a better performance than other phase unwrapping estimators. Compared with the state-of-the-art method, our estimator has the same accuracy and lower computational complexity. Besides, our estimator does not have the estimation bias.http://dx.doi.org/10.1155/2019/7396074
collection DOAJ
language English
format Article
sources DOAJ
author Shen Zhou
Liu Rongfang
spellingShingle Shen Zhou
Liu Rongfang
Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
Mathematical Problems in Engineering
author_facet Shen Zhou
Liu Rongfang
author_sort Shen Zhou
title Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
title_short Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
title_full Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
title_fullStr Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
title_full_unstemmed Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
title_sort efficient and accurate frequency estimator under low snr by phase unwrapping
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description In the case of low signal-to-noise ratio, for the frequency estimation of single-frequency sinusoidal signals with additive white Gaussian noise, the phase unwrapping estimator usually performs poorly. In this paper, an efficient and accurate method is proposed to address this problem. Different from other methods, based on fast Fourier transform, the sampled signals are estimated with the variances approaching the Cramer-Rao bound, followed with the maximum likelihood estimation of the frequency. Experimental results reveal that our estimator has a better performance than other phase unwrapping estimators. Compared with the state-of-the-art method, our estimator has the same accuracy and lower computational complexity. Besides, our estimator does not have the estimation bias.
url http://dx.doi.org/10.1155/2019/7396074
work_keys_str_mv AT shenzhou efficientandaccuratefrequencyestimatorunderlowsnrbyphaseunwrapping
AT liurongfang efficientandaccuratefrequencyestimatorunderlowsnrbyphaseunwrapping
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