Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform. / Song, J.; Xu, Y.; Liu, Y. et al.
In: Circuits, Systems, and Signal Processing, Vol. 38, No. 12, 01.12.2019, p. 5861-5882.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Song, J, Xu, Y, Liu, Y & Zhang, Y 2019, 'Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform', Circuits, Systems, and Signal Processing, vol. 38, no. 12, pp. 5861-5882. https://doi.org/10.1007/s00034-019-01171-5

APA

Song, J., Xu, Y., Liu, Y., & Zhang, Y. (2019). Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform. Circuits, Systems, and Signal Processing, 38(12), 5861-5882. https://doi.org/10.1007/s00034-019-01171-5

Vancouver

Song J, Xu Y, Liu Y, Zhang Y. Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform. Circuits, Systems, and Signal Processing. 2019 Dec 1;38(12):5861-5882. Epub 2019 Jun 18. doi: 10.1007/s00034-019-01171-5

Author

Song, J. ; Xu, Y. ; Liu, Y. et al. / Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform. In: Circuits, Systems, and Signal Processing. 2019 ; Vol. 38, No. 12. pp. 5861-5882.

Bibtex

@article{7de2935851b84bb8bb24bcd91f6f0346,

title = "Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform",

abstract = "An accurate estimator of chirp rate and initial frequency of the linear frequency modulation (LFM) signals based on modified discrete chirp Fourier transform (MDCFT) is investigated in this study. The proposed algorithm consists of two banks, namely coarse search and fine search. The coarse search returns a coarse estimate of the parameter by addressing the maximum MDCFT coefficient of a LFM signal. The coarse estimate is refined by fine search algorithms, including spectrum slices and iterative interpolation methods. Compared to conventional fine search approaches, spectrum slices and iterative interpolation methods are always more efficient because they utilize more prior information about the MDCFT results, thus requiring fewer extra computations. Finally, computer simulations are conducted to evaluate the performance of our algorithms by comparison with the Cramer–Rao lower bound. The proposed estimator shows robust performance for various values of the signal parameters with the addition in the additive white Gaussian noise.",

keywords = "Interpolation, Linear frequency modulation, Modified discrete chirp Fourier transform, Parameter estimation, Spectrum slices, Data reduction, Fourier transforms, Frequency estimation, Frequency modulation, Gaussian noise (electronic), Iterative methods, White noise, Additive White Gaussian noise, Extra computations, Interpolation method, Linear frequency modulation signal (LFM), Modified discrete Chirp-Fourier transforms, Robust performance, Chirp modulation",

author = "J. Song and Y. Xu and Y. Liu and Y. Zhang",

year = "2019",

month = dec,

day = "1",

doi = "10.1007/s00034-019-01171-5",

language = "English",

volume = "38",

pages = "5861--5882",

journal = "Circuits, Systems, and Signal Processing",

issn = "0278-081X",

publisher = "Birkhauser Boston",

number = "12",

}

RIS

TY - JOUR

T1 - Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform

AU - Song, J.

AU - Xu, Y.

AU - Liu, Y.

AU - Zhang, Y.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - An accurate estimator of chirp rate and initial frequency of the linear frequency modulation (LFM) signals based on modified discrete chirp Fourier transform (MDCFT) is investigated in this study. The proposed algorithm consists of two banks, namely coarse search and fine search. The coarse search returns a coarse estimate of the parameter by addressing the maximum MDCFT coefficient of a LFM signal. The coarse estimate is refined by fine search algorithms, including spectrum slices and iterative interpolation methods. Compared to conventional fine search approaches, spectrum slices and iterative interpolation methods are always more efficient because they utilize more prior information about the MDCFT results, thus requiring fewer extra computations. Finally, computer simulations are conducted to evaluate the performance of our algorithms by comparison with the Cramer–Rao lower bound. The proposed estimator shows robust performance for various values of the signal parameters with the addition in the additive white Gaussian noise.

AB - An accurate estimator of chirp rate and initial frequency of the linear frequency modulation (LFM) signals based on modified discrete chirp Fourier transform (MDCFT) is investigated in this study. The proposed algorithm consists of two banks, namely coarse search and fine search. The coarse search returns a coarse estimate of the parameter by addressing the maximum MDCFT coefficient of a LFM signal. The coarse estimate is refined by fine search algorithms, including spectrum slices and iterative interpolation methods. Compared to conventional fine search approaches, spectrum slices and iterative interpolation methods are always more efficient because they utilize more prior information about the MDCFT results, thus requiring fewer extra computations. Finally, computer simulations are conducted to evaluate the performance of our algorithms by comparison with the Cramer–Rao lower bound. The proposed estimator shows robust performance for various values of the signal parameters with the addition in the additive white Gaussian noise.

KW - Interpolation

KW - Linear frequency modulation

KW - Modified discrete chirp Fourier transform

KW - Parameter estimation

KW - Spectrum slices

KW - Data reduction

KW - Fourier transforms

KW - Frequency estimation

KW - Frequency modulation

KW - Gaussian noise (electronic)

KW - Iterative methods

KW - White noise

KW - Additive White Gaussian noise

KW - Extra computations

KW - Interpolation method

KW - Linear frequency modulation signal (LFM)

KW - Modified discrete Chirp-Fourier transforms

KW - Robust performance

KW - Chirp modulation

U2 - 10.1007/s00034-019-01171-5

DO - 10.1007/s00034-019-01171-5

M3 - Journal article

VL - 38

SP - 5861

EP - 5882

JO - Circuits, Systems, and Signal Processing

JF - Circuits, Systems, and Signal Processing

SN - 0278-081X

IS - 12

ER -

Research

Links

Text available via DOI:

Keywords