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《Chinese Journal of Geophysics》 2000-01
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LI SHI-XIONG(Department of Mathematics, Anhui University, Hefei 230039, China)WANG JI-WEN(Department of Computer Science and Engineering, Anhui University, Hefei 230039, China)  
A real signal can be written in the form u(t) = a(t)cosθ(t), where a(t) isthe instantaneous amplitude of u(t), θ(t) the instantaneous phase, and theinstantaneous frequency. In many practices, the extraction of such instantaneousparameters as instantaneous amplitude, phase and frequency, is quite important Theexisting methods for calculation of instantaneous parameters all have some defects. Inthis papef, we construct a kind of wavelet each of which has compact support in thefrequency domain, and Fourier transform of foe wavelet has analytic representation.Using these wavelets, we obtain a fast local and anti-noise algorithm for calculationof instantaneous parameters of signal. Theoretical analysis and numerical simulationsshow that our method is practical and efficient. It is believed that the method canmeet the needs of many practical fields.
【Fund】: 国家自然科学基金;;大庆石油管理局联合资助项目!49894190
【CateGory Index】: TN911.2
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Chinese Journal Full-text Database 10 Hits
1 CHEN Dong-fang (Department of Computor of Anhui University, Hefei 230039, China)$$$$;Inversion of Radon Transform and Wavelet[J];Journal of Anhui University(Natural Sciences);2000-04
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9 ZENG Peng-xin~1, YAO Jian-shi~2, CHEN Peng~1, XU Xin-he~1 (1. School of Information Science & Engineering, Northeastern University, Shenyang 110004, China; 2. Self-Propelled Gun Department, Shenyang Artillery College, Shenyang 110162, China. );An Approach to Wavelet-Based Image Enhancement Algorithm[J];JOURNAL OF NORTHEASTERN UNIVERSITY;2005-06
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