Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Chinese Journal of Geophysics》 2000-01
Add to Favorite Get Latest Update

INSTANTANEOUS PARAMETERS OF SIGNALS AND ORTHOGONAL BASES OF WAVELETS

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
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
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
2 WANG Ji wen,DOU Hong (1.Department of Comp.Science and Engineering, Anhui University,Hefei 230039,China; 2.Department of mathematics,Anhui University, Hefei 230039,China);The wavelet compactly supported in fourier transform and its applications[J];Journal of Anqing Teachers College(Natural Science Edition);2001-01
3 ZOU Hai-lin,NING Shu-nian,LIN Jie(China University of Mining & Technology, Beijing 100083,China);Application of wavelet theory in ground penetrating radar signal processing[J];Progress In Geophysics;2004-02
4 LI You-ming(Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China);The commemoration of professor Li Shixiong[J];Progress in Geophysics;2007-01
5 LIU Hong(Institute of Geology & Geophysics,Chinese Academy of Sciences,Beijing 100029,China);In memory of first anniversary of professor LI Shi-xong's death[J];Progress in Geophysics;2008-01
6 CHEN Lin1,2,SONG Hai-bin1(1.Key Laboratory of the Earth's Deep Interior,Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029,China;2.Graduate University of Chinese Academy of Sciences,Beijing 100049,China);Seismic instantaneous attribute extraction based on empirical mode decomposition[J];Progress in Geophysics;2008-04
7 DONG EN QING\ LIU GUI ZHONG\ ZHANG ZONG PING (School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China);FAST IMPLEMENTATION TECHNIQUE OF ADAPTIVE KALMAN FILTERING DECONVOLUTION VIA DYADIC WAVELET TRANSFORM[J];Chinese Journal of Geophysics;2001-02
8 LAI XIAOLING ZHANG XIANKANG LI SONGLIN FANG SHENGMINGResearch Center of Exploration Geophysics, CSB, Zhengzhou 450002, China;AN APPLICATION OF WAVELET MULT-RESOLUTION ANALYSIS IN THE STUDY OF CRUST-MANTLE HETEROGENEOUS SCALE[J];Chinese Journal of Geophysics;2003-01
9 CAO Mao-Sen 1,2,REN Qing-Wen1,WANG Huai-Hong3 1 College of Civil Engineering, Hohai University, Nanjing 210098, China 2 College of Water Conservancy and Civil Engineering, Shandong Agricultural University, Tai'an 271018, China 3 College of Geoinformation Science and Engineering, Shandong University of Science and Technology, Tai'an 271019, China;A method of detecting seismic singularities using combined wavelet with fractal[J];Chinese Journal of Geophysics;2005-03
10 Lai Xiaoling Zhang Xiankang Fang Shengming (Geophysical Exploration Center, China Earthquake Administration, Zhengzhou 450002, China);STUDY OF CRUST-MANTLE TRANSITIONAL ZONE ALONG THE NORTHEAST MARGIN OF QINGHAI-XIZANG PLATEAU[J];Acta Seismologica Sinica;2004-02
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Gao Jing-huai; Wang Wen-bin; Zhu Guang-ming (Institute of Geophysics, Acadamia Sinica, Beijing 100101, China) (School of Electronics & Information Engineering, Xi'an Jiaotong Univ., Xi'an. 710049, China) (Xo'an College of Engineering, Xi'an 710054, Chin;WAVELET TRANSFORM AND INSTANTANEOUS ATTRIBUTES ANALYSIS[J];Chinese Journal of Geophysics;1997-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 DUAN Sheng-quan, HE Zhen-hua, HUANG De-jiCollege of Information Engineering, Chengdu University of Technology, Chengdu 610059, China;Application of the Hilbert-Huang transform to the analysis of seismic signal[J];Journal of Chengdu University of Technology(Science & Technology Edition);2005-04
2 YE Zeng-lu~1,HE Jian-jun~2,LIN Jie~31.Tongling University,Tongling 244000,China;2.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Chengdu University of Technology,Changdu 610059,China;3.College of Information Engineering,Chengdu University of Technology,Chengdu 610059,China;Implementation of calculating coherence cube on the basis of wavelet transform and analysis of its applied results[J];Journal of Chengdu University of Technology(Science & Technology Edition);2006-05
3 TANG Ming-zhou, ZHANG Ji-long (Dept. of Electronic Engineering and Information Scinece, North China Institute of Technology, Taiyuan 030051, China);Wavelet Analysis and Characterization-Extracting of Ultrasonic Testing Signal of Bonded Structure[J];Journal of Test and Measurement Technology;2003-04
4 CHEN Wen chao 1, SHI Zhen sheng 1, WANG Wen bing 1, GAO Jing huai 2 (1.Schoolf of Electronics & Information Engineering, Nothwestern polytechnical University, Xi'an shanxi 710072, China; 2.School of Electronics & Information Engineering, Xi'a;Suppressing the direct wave noise in GPR data using the 2-D continue directional wavelets[J];CHINESE JOURNAL OF RADIO SCIENCE;2000-03
5 WU An-xu,LU Ya-jun,LI Ping-an,MU Hui-yong,LIN Xiang-dong,LI Ju-zhen (Earthquake Administration of Beijing Municipality,Beijing 100080,China);DISCUSSION ON DIGITAL DEFORMATION DATA TREND ABNORMITY ANALYSIS BASED ON BINARY WAVELET[J];Seismological Research of Northeast China;2007-02
6 CHENG Jun-sheng,YU De-jie,YANG Yu (College of Mechanical and Automotive Engineering, Hunan University, Changsha 410082,China);Signal instantaneous attribute analysis using wavelet transform based on EMD[J];Earthquake Engineering and Engineering Vibration;2004-02
7 LIU Xia 1, ZHANG Xue min 2 (1. Department of Earth and Space Science, University of Science and Technology of China, Hefei 230026, China; 2. Center for Analysis and Prediction, Seismological Bureau of Hebei Province, Shijiazhuang, China);Wavelet transform and seismic signal analysis[J];Earthquake;2002-03
8 PEI Zheng-lin (University of Petroleum, Beijing 100083, China);Wavelet Theory and Its Application in Seismic Data Processing[J];Progress In Geophysics;2002-03
9 TIAN Chun-zhi1 LIU Hong2 (1. Daqing Petroleum Institute, Anda 151400,China; 2. Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100101, China);Study on Seismic Wave Propagation for Deep Layer Seismic Exploration[J];Progress In Geophysics;2002-04
10 ZOU Hai-lin, NING Shu-nian, ZOU Hua-sheng (China University of Mining & Technology, Beijing 100083, China);Performance analysis of GPR image de-noising based on different pre-processing methods[J];Progress In Geophysics;2005-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 FU Biao 1,WU Xian-liang 1,LI Shi-xiong 2 1(Electronic Engineering and Information Science Dept.of Anhui University,Hefei 230039,China) 2(Dept. of Mathematics of Anhui University,Hefei 230039,China)$$$$;Finding the High-frequency Solution of Electromagnetic Wave Equation Based on Wavelet Transform[J];JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES);1999-03
2 WANG Ji wen,DOU Hong (1.Department of Comp.Science and Engineering, Anhui University,Hefei 230039,China; 2.Department of mathematics,Anhui University, Hefei 230039,China);The wavelet compactly supported in fourier transform and its applications[J];Journal of Anqing Teachers College(Natural Science Edition);2001-01
3 TIAN Jie, CHEN Jie, ZHANG Yu-he (Department of Automatic Control, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China);Target Detection and Recognition Based on Wavelet Transform and Fractal Features[J];Journal of Beijing Institute of Technology;2003-01
4 Wang Zhongren, He Qiaodeng (Changchun University of Science and Technology, Changchun 130026);A RECURSIVE ALGORITHM FOR THE CONSTRUCTION OF ORTHOGONAL WAVELETS BASED ON THE B-SPLINES WITH THE HIGHER ORDER[J];;1997-04
5 LI Rui~1, XIANG Yun-chuan~2, YANG Guang-Hui~1, CAO Yan-xu~3 (1.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu University of Technology, China; 2.Development and Research Center, China Geological Survey, Beijing; 3.North China Bureau of Petroleum Geology, CNPC, China);Applications of porous structure exponent to recognizing gas and water in middle gas field of Ordos Basin, China[J];Journal of Chengdu University of Technology(Science & Technology Edition);2004-06
6 HUANG Chang rong (Dept.of Electr.Technol.,Chengdu Institute of Meteorology,Chengdu 610041,China);Hilbert transform and its applications[J];JOURNAL OF CHENGDU INSTITUTE OF METEOROLOGY;1999-03
7 XU Bin-gao 1,2 (1.Chengdu Science and Engineering University, Chengdu, Sichuan 610059, China; 2.Well Logging Co., Southwest Petroleum Administration, SINOPEC, Chengdu, Sichuan 610100, China);On Carbonate Reservoir Classification and Oil-gas Identification in the North-east Sichuan[J];Well Logging Technology;2004-05
8 LI Hai hua (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130021, China);Review of Ground Penetrating Radar System[J];Journal of Test and Measurement Technology;2003-01
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
10 ZHANG Chun cheng ZHOU Zheng ou(College of Electronic Engineering University of Electronic Science and Technology, Chengdu Sichuan 610054, China);Ground penetrating radar synthetic aperture imaging based on stolt migration[J];Chinese Journal of Radio Science;2004-03
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 JIANG Jin-jian~1 QIAN Meng~1 GE Yun-jian~2 1.School of Computer and Information Science,Anqing Teachers College,Anqing 246011; 2.Institute of intelligent Machines,Chinese Academy of Sciences,Hefei 230031,China;An Approach to Underwater Images Enhancement Based on Wavelet Multiscale Analysis[J];Journal of Anqing Teachers College(Natural Science Edition);2006-03
2 MENG Zong~1 LIU bin~1 SHI Pei-ming (1.Measurement Technology and Instrumentation Key Lab of Hebei Province,Yanshan University,Qinhuangdao,Hebei 066004,China);Time-frequency analysis for rolling mill's transient vibration signal based on EMD and HT[J];Journal of Yanshan University;2008-02
3 Li Shanyou~(1), Wu Dongpo~(1),Jin Xing~(1, 2), Ma Qiang~(1), Yang Wendong~(2)(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China;2.Earthquake Administration of Heilongjiang Province, Harbin 150090, China);The real-time calculation method of instantaneousparameters of seismic signal[J];Earthquake Engineering and Engineering Vibration;2004-05
4 Li Tianyun Zhao Yan Ji Xiaohui Li Nan (Northeast of China Electric Power Institute Jilin 132012 China);Application of HHT Method for Analysis of Fault Signal in Electric Power System[J];Transactions of China Electrotechnical Society;2005-06
5 Lai Xiaoling1), Sun Yi2) and Liu Zhi1) 1)Geophysical Exploration Center, CEA, Zhengzhou 450002 2)North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008;STUDY OF DEEP SEISMIC SOUNDING IN STRONGLY SEISMIC REGIONS OF NORTH CHINA[J];Journal of Geodesy and Geodynamics;2006-01
6 LI Tian-yun, ZHAO Yan, LI Nan (Northeast China Institute of Electric Power Engineering, Jilin 132012, China);Apply Empirical Mode Decomposition Based Hilbert Transform to Power System Transient Signal Analysis[J];Automation of Electric Power Systems;2005-04
7 Yang Jianwen Jia Minping Xu Feiyun(Department of Mechanical Engineering,Southeast University,Nanjing 210096,China);Application of EMD to cyclostationarity fault signal[J];Journal of Southeast University(Natural Science Edition);2006-01
8 WU Wei1,GUO Hua1,ZHANG Jing1,MEI Faguo1,JIAN Xiaogang2 (1. School of mathematical sciences, Jilin university, Changchun 130012, China; 2. School of mechanical engineering, Shanghai Jiaotong university, Shanghai 200030, China);Application of wavelet transform in processing the signals of testing underground pipe[J];Progress In Geophysics;2003-03
9 XU Li-juan,YAO Xue-dan(1. Department of statistics,Yunnan university, Kunming 650091,China;2. Department of mathematical economics, Southwestern university of finance and economics, Chengdu 610074,China);Analysis of the Earth electromagnetic signals[J];Progress In Geophysics;2004-02
10 ZOU Hai-lin, NING Shu-nian, ZOU Hua-sheng (China University of Mining & Technology, Beijing 100083, China);Performance analysis of GPR image de-noising based on different pre-processing methods[J];Progress In Geophysics;2005-02
China Proceedings of conference Full-text Database 1 Hits
1 WANG Huai-hong1,2,4, GONG Gu2, TIAN Yu-xin3(1.Geoinfomation Science & Engineering College,Shandong University of Science And Technology,Qingdao 266510,China2.Shandong Provincial Bureru of Coal Geology,Tai’An 271000,China3.School of Information & Electronics Engineering, Shandong Institute of Business Technology,Yantai 264005,China4.Shandong Geophysical Society,Ji’Nan 250031,China);The argumentation of coalfield digital seismic prospecting technology development and key problem in eastern China[A];[C];2007
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 GAO JING-HUAI; WANG WEN-BING; ZHU GUANG-MING;PENG YU-HUA; WANG YU-GUI 1)(School of electronics & information engineering,Xian Jiaotong Univ., Xian., 710049, China)2)(Xian college of geology, Xian, 710054, China)3)(Shandong Industrial Univ., Jinan, 25001;ON THE CHOICE OF WAVELET FUNCTIONS FOR SEISMIC DATA PROCESSING[J];Chinese Journal of Geophysics;1996-03
2 Zhu Guangming, Gao Jinghuai, Wang Yugui (XiAn College of Geology, XiAn 710054);WAVELET TRANSFORM AND ITS APPLICATION TO 1-D FILTERING[J];Geophysical Prospecting For Petrole;1993-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved