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《Journal of Electronics and Information Technology》 2001-05
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DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE

Zou Hongxing Dai Qionghai Zhou Xiaobo Li Yanda (Dept of Automation, Tsinghua University, Beijing 100084, China)  
A new time-frequency representation called Dopplerlet transform, which uses the dilated, translated and moduiated windowed Doppler signals as its basis functions, is introduced. It is proved that the matchihg pursuits based on Dopplerlet basis functions are convergent, and that the energy of residual signals yielded in the decomposition process decays exponentially. Simulation results show that the matching pursuits with Dopplerlet basis functions can char-acterize compactly a nonstationary signal.
【Fund】: 国家自然科学基金(批准号:69775009)
【CateGory Index】: TN911
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【Citations】
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1 ZOU Hongxing, ZHOU Xiaobo, LI Yanda (Department of Automation, Tsinghua University; State Key Laboratory of Intelligent Technology and Systems, Beijing 100084, China);Time-frequency signal representation with Dopplerlet basis functions[J];JOURNAL OF TSINGHUA UNIVERSITY(SCIENCE AND TECHNOLOGY);2000-03
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 LIANG Hong,LIU Jinbo(School of Marine Engineering,Northwestern Polytechnical University,Xi'an 710072,China);Extension of Dopplerlet Transform and Application in Active Sonar Detection[J];Journal of Projectiles,Rockets,Missiles and Guidance;2009-01
2 LIU Zhao-hui1, LIANG Hong2(1.Navy University of Engineering, Qingdao Shandong 266041, China;2.College of Marine, Northwestern Polytechnical University, Xi′an 710072, China);Underwater Acoustic Detection Based on Dopplerlet Transform[J];Audio Engineering;2008-09
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6 LIU Zhenxing,ZHANG Wenrong(Engineering Research Center of Metallurgical Automation and Detection Technique,Ministry of Education,Wuhan University of Science and Technology,Wuhan 430081,China);Operation mode identification for induction motors based on HHT method[J];Electric Power Automation Equipment;2010-09
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9 HU Guo-sheng, ZHU Feng-feng, REN Zhen, TU Yong-jun (Guangdong Vocational College of Science & Tech., Guangzhou 510640, China; Maths School, South China Univ. of Tech., Guangzhou 510640, China; Electric Power School, South China Univ. of Tech., Guangzhou 510640, China);Electric Machine Fault Diagnosing Based on Energy Spectrum of Gauss Chirplet Transforms[J];High Voltage Apparatus;2005-06
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