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Iterative Interpolation for Parameter Estimation of LFM Signal Based on Fractional Fourier Transform

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Abstract

This study introduces two iterative interpolation algorithms for the parameter estimation of linear frequency modulation (LFM) signal using fractional Fourier transform (FrFT). The estimated parameter of an LFM signal can be obtained by locating the peak of the periodogram in the FrFT domain. Two interpolation algorithms were proposed to improve the accuracy of parameter estimation by employing the FrFT coefficients relative to the true parameters and applying interpolation algorithms iteratively to refine the parameter estimation approach. The proposed algorithms can utilize more information from FrFT results, thereby achieving improvements in either accuracy or efficiency. Moreover, the simulation results revealed the validity and advantage of the proposed approach.

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Authors and Affiliations

  1. Department of Information Science and Technology, Nanjing Forestry University, Nanjing, Jiangsu, 210037, China

    Jun Song & Yunfei Liu

  2. Department of Computer Science and Technology, Nanjing Forestry University, Nanjing, Jiangsu, 210037, China

    Yixiong Wang

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  1. Jun Song
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  2. Yixiong Wang
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  3. Yunfei Liu
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Correspondence to Jun Song.

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Song, J., Wang, Y. & Liu, Y. Iterative Interpolation for Parameter Estimation of LFM Signal Based on Fractional Fourier Transform. Circuits Syst Signal Process 32, 1489–1499 (2013). https://doi.org/10.1007/s00034-012-9517-8

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  • DOI: https://doi.org/10.1007/s00034-012-9517-8

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