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Modeling and parameter identification of linear time-varying systems based on adaptive chirplet transform under random excitation

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Chinese Journal of Aeronautics 2021年第4期34卷 56-66页

作者： Jie ZHANG Zhiyu SHI Lirong LI State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and AstronauticsNanjing 210016China Shanghai Aircraft Customer Service Co. Ltd.Shanghai 200241China

In this paper,a time–frequency algorithm based on adaptive chirplet transform for parameter modeling and identification of Linear Time-Varying(LTV)systems under random excitation is *** is assumed that the solution of responses of LTV structures is expressed as the sum of multicomponent Linear Frequency Modulated(LFM)signals in a *** the measured acceleration response is used to perform the adaptive chirplet transform,in which an integral algorithm is employed to reconstruct the velocity and displacement *** vibration differential equation with time-varying coefficients is transformed into a simple linear ***,for systems under random excitation,the input–output relation based on correlation function is also derived to estimate the parameters including physicals parameters and instantaneous modal *** full procedure of the method is presented and validated by using simulated *** results show that the presented method is accurate and robust for various LTV systems under random excitation.

关键词： Acceleration response chirplet transform LTV systems Random excitation System parameter identification

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he adaptive chirplet transform and its application in GPR target detection

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Applied Geophysics 2009年第2期6卷 192-200页

作者： Zeng Zhaofa Wu Fengshou Huang Ling Liu Fengshan Sun Jiguang Collage of Exploration Science and Technology Jilin University Changchun 130026 China Applied Mathematic Research Center Delaware State University Dover DE 19901 USA

GPR has become an important geophysical method in UXO and landmine detection, for it can detect both metal and non-metallic targets. However, it is difficult to remove the strong clutters from surface-layer reflection and soil due to the low signal to noise ratio of GPR data. In this paper, we use the adaptive chirplet transform to reject these clutters based on their character and then pick up the signal from the UXO by the transform based on the Radon-Wigner distribution. The results from the processing show that the clutter can be rejected effectively and the target response can be measured with high SNR.

关键词： GPR target detection clutter rejection chirplet transform

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Subspaces of FM^mlet transform

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Science in China(Series F) 2002年第2期45卷 152-160页

作者：邹红星戴琼海赵克陈桂明李衍达 DepartmentofAutomation TsinghuaUniversityBeijing100084China TheSecondArtilleryInstituteofEngineering Xi'an710025China

The subspaces of FMmlet transform are investigated. It is shown that some of the existing transforms like the Fourier transform, short-time Fourier transform, Gabor transform, wavelet transform, chirplet transform, the mean of signal, and the FM-1let transform, and the butterfly subspace are all special cases of FMmlet transform. Therefore the FMmlet transform is more flexible for delineating both the linear and nonlinear time-varying structures of a signal.

关键词： FMmlet transform chirplet transform subspace parametric time-frequency signal representation.

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