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Improved Frequency Estimation Algorithm by Least Squares Phase Unwrapping

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Abstract

Among the frequency estimation methods, the least squares phase unwrapping estimator (LSPUE) that unwraps the phase in the least squares sense has a much better performance than other phase unwrapping estimators. In this paper, based on a more accurate phase model, an improved LSPUE is presented. Compared with other LSPUE, the performance is improved in two aspects. Firstly, when the number of samples is small, our estimator has a lower signal-to-noise ratio (SNR) threshold. Secondly, from the medium SNR, the LSPUE has an asymptotic mean square error (MSE) which is larger than the Cramer–Rao bound (CRB) but the MSE of our estimator converges to the CRB.

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Authors and Affiliations

  1. University of Chinese Academy of Sciences, Beijing, China

    Shen Zhou

  2. Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Dengzhuangnan road No. 9, Haidian District, Beijing, China

    Shen Zhou & Zhang Shancong

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  1. Shen Zhou
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  2. Zhang Shancong
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Correspondence to Shen Zhou.

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Zhou, S., Shancong, Z. Improved Frequency Estimation Algorithm by Least Squares Phase Unwrapping. Circuits Syst Signal Process 37, 5680–5687 (2018). https://doi.org/10.1007/s00034-018-0838-0

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  • DOI: https://doi.org/10.1007/s00034-018-0838-0

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