Time-delay estimation of chirp signals in the fractional fourier domain

Ran Tao; Xue Me Li; Yan Lei Li; Yue Wang

doi:10.1109/TSP.2009.2020028

Time-delay estimation of chirp signals in the fractional fourier domain

Ran Tao^*, Xue Me Li, Yan Lei Li, Yue Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

74 Citations (Scopus)

Abstract

A new time-delay estimator is presented in this paper. It is evaluated based on the delay property of the fractional Fourier transform with less computation and is suitable for chirp signals. The statistical analysis in terms of signal-to-noise ratio (SNR) and estimation accuracy for this estimation is also studied. The proposed method for the time delay yields a variance which is theoretically equal to the Cramér-Rao lower bound. The validity of this estimation method is demonstrated via simulations.

Original language	English
Pages (from-to)	2852-2855
Number of pages	4
Journal	IEEE Transactions on Signal Processing
Volume	57
Issue number	7
DOIs	https://doi.org/10.1109/TSP.2009.2020028
Publication status	Published - 2009

Keywords

Cramér-Rao lower bound
Fractional Fourier transform
Time-delay estimation

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10.1109/TSP.2009.2020028

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title = "Time-delay estimation of chirp signals in the fractional fourier domain",

abstract = "A new time-delay estimator is presented in this paper. It is evaluated based on the delay property of the fractional Fourier transform with less computation and is suitable for chirp signals. The statistical analysis in terms of signal-to-noise ratio (SNR) and estimation accuracy for this estimation is also studied. The proposed method for the time delay yields a variance which is theoretically equal to the Cram{\'e}r-Rao lower bound. The validity of this estimation method is demonstrated via simulations.",

keywords = "Cram{\'e}r-Rao lower bound, Fractional Fourier transform, Time-delay estimation",

author = "Ran Tao and Li, {Xue Me} and Li, {Yan Lei} and Yue Wang",

year = "2009",

doi = "10.1109/TSP.2009.2020028",

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T1 - Time-delay estimation of chirp signals in the fractional fourier domain

AU - Tao, Ran

AU - Li, Xue Me

AU - Li, Yan Lei

AU - Wang, Yue

PY - 2009

Y1 - 2009

N2 - A new time-delay estimator is presented in this paper. It is evaluated based on the delay property of the fractional Fourier transform with less computation and is suitable for chirp signals. The statistical analysis in terms of signal-to-noise ratio (SNR) and estimation accuracy for this estimation is also studied. The proposed method for the time delay yields a variance which is theoretically equal to the Cramér-Rao lower bound. The validity of this estimation method is demonstrated via simulations.

AB - A new time-delay estimator is presented in this paper. It is evaluated based on the delay property of the fractional Fourier transform with less computation and is suitable for chirp signals. The statistical analysis in terms of signal-to-noise ratio (SNR) and estimation accuracy for this estimation is also studied. The proposed method for the time delay yields a variance which is theoretically equal to the Cramér-Rao lower bound. The validity of this estimation method is demonstrated via simulations.

KW - Cramér-Rao lower bound

KW - Fractional Fourier transform

KW - Time-delay estimation

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U2 - 10.1109/TSP.2009.2020028

DO - 10.1109/TSP.2009.2020028

M3 - Article

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VL - 57

SP - 2852

EP - 2855

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 7

ER -

Time-delay estimation of chirp signals in the fractional fourier domain

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Keywords

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