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Open AccessArticle

Joint Estimation of Doppler Stretch and Time Delay of Wideband Echoes for LFM Pulse Radar Based on Sigmoid-FRFT Transform under the Impulsive Noise Environment

by 1,2,*, 2,* and 2,3
1
College of Information Engineering, Dalian University, Dalian 116622, China
2
Department of Electrical and Computer Engineering, Mississippi State University, Starkville, MS 39762, USA
3
Information Science and Technology College, Dalian Maritime University, Dalian 116026, China
*
Authors to whom correspondence should be addressed.
Electronics 2019, 8(2), 121; https://doi.org/10.3390/electronics8020121
Received: 31 December 2018 / Revised: 19 January 2019 / Accepted: 21 January 2019 / Published: 23 January 2019
(This article belongs to the Special Issue Recent Advances in Array Antenna and Array Signal Processing)
To overcome the limitation of performance degradation of existing methods based on fractional Fourier transform in impulsive noise, and fractional lower-order statistics based method dependence on a priori knowledge of the noise, a novel Sigmoid fractional Fourier transform (Sigmoid-FRFT) is presented in this paper. This novel approach is then used to estimate the Doppler stretch and time delay. Furthermore, the properties of the Sigmoid transform, robustness and boundedness of the Sigmoid-FRFT to the S α S noise, and the computation complexity of the Sigmoid-FRFT method are presented to evaluate the performance of the proposed method. Simulation results and theoretical analysis are presented to demonstrate the applicability of the forgoing method. It is shown that the proposed method not only can effectively suppress impulsive noise interference but also does not need a priori knowledge of the noise, with higher estimation accuracy and lower computational complexity in impulsive noise environments. View Full-Text
Keywords: impulsive noise; Sigmoid transform; fractional Fourier transform; linear frequency modulation (LFM) pulse radar; parameter estimation impulsive noise; Sigmoid transform; fractional Fourier transform; linear frequency modulation (LFM) pulse radar; parameter estimation
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MDPI and ACS Style

Li, L.; Younan, N.H.; Shi, X. Joint Estimation of Doppler Stretch and Time Delay of Wideband Echoes for LFM Pulse Radar Based on Sigmoid-FRFT Transform under the Impulsive Noise Environment. Electronics 2019, 8, 121. https://doi.org/10.3390/electronics8020121

AMA Style

Li L, Younan NH, Shi X. Joint Estimation of Doppler Stretch and Time Delay of Wideband Echoes for LFM Pulse Radar Based on Sigmoid-FRFT Transform under the Impulsive Noise Environment. Electronics. 2019; 8(2):121. https://doi.org/10.3390/electronics8020121

Chicago/Turabian Style

Li, Li; Younan, Nicolas H.; Shi, Xiaofei. 2019. "Joint Estimation of Doppler Stretch and Time Delay of Wideband Echoes for LFM Pulse Radar Based on Sigmoid-FRFT Transform under the Impulsive Noise Environment" Electronics 8, no. 2: 121. https://doi.org/10.3390/electronics8020121

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