Analysis of the shading between multicomponent chirp signals in the fractional Fourier domain

被引:0
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作者
Deng, Bing [1 ,2 ]
Tao, Ran [2 ]
Qu, Chang-Wen [1 ]
机构
[1] Department of Electronic and Information Engineering, Naval Aeronautical Engineering Institute, Yantai 264001, China
[2] Department of Electronic Engineering, Beijing Institute of Technology, Beijing 100081, China
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Fourier transforms - Signal detection;
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摘要
Starting with the relationship between the fractional Fourier transform and the time-frequency distribution, we derives the approximate expression of the fractional Fourier spectrum intensity of a single chirp based on the digital computation of the fractional Fourier transform. The shading between the fractional Fourier spectra of two chirps with different chirp rates is analyzed, and a formula is obtained, which is illuminated by some figures and verified by a simulation. We find that the amplitude, chirp-rate and sampling interval determine the shading between the fractional Fourier spectra of multicomponent chirp signals. Prolonging the sampling interval can reduce the shading when amplitude and chirp-rate of multicomponent chirp signals are determined.
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页码:1094 / 1098
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