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Signal Analysis by New mother wavelets

Communications in Theoretical Physics 2009年第6期51卷 1010-1012页

作者： NIU Jin-Bo FAN Hong-Yi QI Kai-Guo Department of Physics University of Science and Technology of China Hefei 230026 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

Based on the general formula for finding qualified mother wavelets [Opt. Lett. 31 （2006） 407] we make wavelet transforms computed with the newly found mother wavelets （characteristic of the power 2n） for some optical Gaussian pulses, which exhibit the ability to measure frequency of the pulse more precisely and clearly. We also work with complex mother wavelets composed of new real mother wavelets, which offer the ability of obtaining phase information of the pulse as well as amplitude information. The analogy between the behavior of Hermite Gauss beams and that of new wavelet transforms is noticed.

关键词： mother wavelet complex Mexican Hermit-Gauss

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A New Recognition Algorithm of 2-D Objects

A New Recognition Algorithm of 2-D Objects

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1996 3rd International Conference on Signal Processing(ICSP’96)

作者： DU Xiaoping SHI Lei GU Deren Department of Electronic Engineering University of Electronic Science and Technology of China

ISBN: (纸本)0780329120

＜正＞In this paper,we present a new algorithm to recognize a two- dimensional object of general shape which has a closed contour. The algorithm includes two *** first stage consists of building a one-dimensional signal representation of the two-dimensional boundary of the object and obtaining the wavelet transform of the representation by using a particular mother wavelet which is the first derivative of a smoothing function. The second stage consists of calculating the rise -fall periods of the wavelet transform and its transfer probability matrix as the feature template,and then completing the matching procedure for objects recognition.

关键词： object recognition wavelet transforms smoothing methods matrix algebra probability feature extraction image matching signal representation recognition algorithm 2D objects two-dimensional object closed contour object shape recognition one-dimensional signal representation two-dimensional boundary wavelet transform mother wavelet smoothing function rise-fall periods transfer probability matrix feature template matching procedure object recognition

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Hilbert-Huang transform and wavelet analysis of time history signal

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Acta Seismologica Sinica(English Edition) 2003年第4期16卷 422-429页

作者：石春香罗奇峰 Reduction Tongji University Shanghai 200092 China

The brief theories of wavelet analysis and Hilbert-Huang transform (HHT) are introduced firstly in the present paper. Then several signal data were analyzed by using wavelet and HHT methods, respectively. The comparison shows that HHT is not only an effective method for analyzing non-stationary data, but also is a useful tool for examining detailed characters of time history signal.

关键词： Hilbert-Huang transform wavelet analysis mother wavelet intrinsic mode functions spectral analysis

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小波分频在重力异常界面反演计算过程中的应用

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高等学校计算数学学报 2001年第1期23卷 68-72页

作者：王金波许梦杰彭瑞仁上海大学数学系!上海　200436

In this paper, a mother wavelet with arbitrary frequency compact suppset is constructed by using continuous wavelet method. It is applied to separate frequency of gravity anomalies into several sub-band information. The numerical algo- rithm is presented. Some numerical results illustrate the reliability and effectiveness of this method.

关键词： wavelet separating frequency mother wavelet the surface inversion of gravity anomalies.

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