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An application of matching pursuit time-frequency decomposition method using multi-wavelet dictionaries

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Petroleum Science 2012年第3期9卷 310-316页

作者： Zhao Tianzi Song Wei Library of China University of Petroleum Beijing 102249China CNPC Key Laboratory of Geophysical Exploration China University of PetroleumBeijing 102249China

In the time-frequency analysis of seismic signals, the matching pursuit algorithm is an effective tool for non-stationary signals, and has high time-frequency resolution and a transient structure with local self-adaption. We expand the time-frequency dictionary library with Ricker, Morlet, and mixed phase seismic wavelets, to make the method more suitable for seismic signal time-frequency decomposition. In this paper, we demonstrated the algorithm theory using synthetic seismic data, and tested the method using synthetic data with 25% noise. We compared the matching pursuit results of the time-frequency dictionaries. The results indicated that the dictionary which matched the signal characteristics better would obtain better results, and can reflect the information of seismic data effectively.

关键词： matching pursuit seismic attenuation wavelet transform Wigner Ville distribution time- frequency dictionary

Ultrasonic Nondestructive Signals Processing Based on matching pursuit with Gabor Dictionary

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Chinese Journal of Mechanical Engineering 2011年第4期24卷 591-595页

作者： GUO Jinku WU Jinying YANG Xiaojun LIU Guangbin Xi＇an Research Institute of High Technology Hongqing Town Xi＇an 710025 China Department of Automation Tsinghua University Beijing 100084 China

The success of ultrasonic nondestructive testing technology depends not only on the generation and measurement of the desired waveform, but also on the signal processing of the measured waves. The traditional time-domain methods have been partly successful in identifying small cracks, but not so successful in estimating crack size, especially in strong backscattering noise. Sparse signal representation can provide sparse information that represents the signal time-frequency signature, which can also be used in processing ultrasonic nondestructive signals. A novel ultrasonic nondestructive signal processing algorithm based on signal sparse representation is proposed. In order to suppress noise, matching pursuit algorithm with Gabor dictionary is selected as the signal decomposition method. Precise echoes information, such as crack location and size, can be estimated by quantitative analysis with Gabor atom. To verify the performance, the proposed algorithm is applied to computer simulation signal and experimental ultrasonic signals which represent multiple backscattered echoes from a thin metal plate with artificial holes. The results show that this algorithm not only has an excellent performance even when dealing with signals in the presence of strong noise, but also is successful in estimating crack location and size. Moreover, the algorithm can be applied to data compression of ultrasonic nondestructive signal.

关键词： ultrasonic signal processing sparse representation matching pursuit Gabor dictionary

Decomposition and compression for ECG and EEG signals with sequence index coding method based on matching pursuit

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The Journal of China Universities of Posts and Telecommunications 2012年第2期19卷 92-95页

作者： ZHANGHong-xin CHENCan-feng WUYan-ling LIPei-hua SchoolofElectronicEngineering BeijingUniversityofPostsandTelecommunicationsBeijing100876China NokiaResearchCentre Beijing100020China KeyLaboratoryofWorkSafetyIntelligentMonitoring BeijingUniversityoPostsandTelecommunicationsBeijing100876China

An efficient compression method is proposed by encoding the sequence index of atoms based on matching pursuit （MP） algorithm with over-complete Gabor dictionary, which has the merit to adjust the compression ratio （CR） according to the practical request with low distortion. It is also combined with genetic algorithm （GA） to reduce the computation complexity Then, the validity of this method is verified by applying it in the compression of electrocardiography （ECG） and Electroencephalography （EEG） signals. The simulation results show that the CR can be achieved at 18：1 with only 1.06% and 2.15% reconstruction errors on ECG and EEG signals respectively. It has higher CR and less reconstruction errors compared to that of the traditional methods, and noise suppression effect is also presented.

关键词： ignal decomposition and compression matching pursuit ECG EEG

Fast matching pursuit for traffic images using differential evolution

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Journal of Harbin Institute of Technology(New Series) 2010年第2期17卷 193-198页

作者：封晓强何铁军 Intelligent Transportation System(ITS) Research Center South East University

To obtain the sparse decomposition and flexible representation of traffic images,this paper proposes a fast matching pursuit for traffic images using differential evolution. According to the structural features of traffic images,the introduced algorithm selects the image atoms in a fast and flexible way from an over-complete image dictionary to adaptively match the local structures of traffic images and therefore to implement the sparse decomposition. As compared with the traditional method and a genetic algorithm of matching pursuit by using extensive experiments,the differential evolution achieves much higher quality of traffic images with much less computational time,which indicates the effectiveness of the proposed algorithm.

关键词： intelligent transportation system digital image processing matching pursuit differential evolution

matching pursuit time-frequency decomposition using wideband B-spline wavelet

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Matching pursuit time-frequency decomposition using wideband...

Sparse Decomposition Algorithm Using Immune matching pursuit

中国科学院地质与地球物理研究所2013年度（第13届）...

作者： Liu Lanfeng Li Lihua Wei Xiucheng Huang Zhongyu Petroleum Research Institute of Exploration & Development SINOPEC China University of Petroleum(Beijing) Beijing Yadan Technology Development Co. Ltd

A new time-frequency decomposition method is implemented based on the general matching pursuit in virtue of the high resolution and the parameter -adjustment flexibility of wideband B-spline wavelet with four *** paper discusses the accuracy and validity of the method through theoretic model *** time-frequency spectrum calculated by this algorithm has higher resolution and better time-frequency localization than that calculated by Morlet *** apply it to the real seismic data successfully,and the low-frequency energy section calculated by this method can well reflect the reservoir heterogeneity and detail information in the reservoir.

关键词： wideband B-spline wavelet matching pursuit time-frequency decomposition instantaneous spectrum

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Sparse Decomposition Algorithm Using Immune Matching Pursuit

基于matching pursuit的音像信号的分析

2012 IEEE 11th International Conference on Signal Processing(ICSP 2012)

作者： Yan Zhou Heming Zhao Tao Liu School of Electronics and Information Engineering Soochow University Department of Electronics and Information Engineering Soochow Vocational University

The optimal sparse expression for a signal is critical to the application of compressed sensing theory. Since the standard matching pursuit uses greedy strategy to approximate the objective function, which is aim to search for the linear combination of the optimal atoms in a redundant dictionary. It is inevitable to cause enormous calculation quantity, to overcome this defect, a scheme based on immune matching pursuit algorithm is proposed in this paper which is suitable for speech signal sparse decomposition. In this matching pursuit algorithm, each matching process has been optimized by the immune algorithm with the characteristics of local fast convergence and global optimal. As a result, according to this algorithm, the speed of sparse decomposition and the quality of reconstructed signal all have been effectively improved, and the storage space requirement for redundant dictionary also has been degraded. Simulation results show that, the matching pursuit computational cost can be obviously reduced by using this algorithm, Moreover, the performance of this algorithm is stable, and it also has high signal decomposition accuracy. In a word, the efficiency of sparse decomposition can be significantly improved by combining the immune evolution mechanism and matching pursuit algorithm.

关键词： matching pursuit Immune Algorithm Sparse decomposition Redundant dictionary Reconstructed signal

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基于Matching Pursuit的音像信号的分析

A Practical Approach for Missing Wireless Sensor Networks Data Recovery

第十二届全国信号处理学术年会（CCSP-2005）

作者：严德志于凤芹江南大学通信与控制学院

利用声音和视频数据的相关性可以检测出该音像信号中的发声源。传统的方法,对视频序列的表示是基于像素的方法,而对声音的表示运用的则是类似Fourier变换的方法,这些考虑的仅仅是边缘效应。本文提出了基于matchingpursuit(MP)框架下表... 详细信息

利用声音和视频数据的相关性可以检测出该音像信号中的发声源。传统的方法,对视频序列的表示是基于像素的方法,而对声音的表示运用的则是类似Fourier变换的方法,这些考虑的仅仅是边缘效应。本文提出了基于matchingpursuit(MP)框架下表示音像信号的方法,利用冗余的字典能更好的表示信号结构中比较突出变化的部分,有效地减少了引入的信号的时变变量,利用Pearson系数,对测试序列进行了音像熔合分析,仿真结果表明能定位视频序列中声源的位置。

关键词： matching pursuit Pearson相关系数音像熔合

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China Communications 2024年第5期21卷 202-217页

作者： Song Xiaoxiang Guo Yan Li Ning Ren Bing The College of Communications Engineering Army Engineering University of PLANanjing 210007China The 63891 Unit of PLA Luoyang 471000China

In wireless sensor networks(WSNs),the performance of related applications is highly dependent on the quality of data ***,missing data is almost inevitable in the process of data acquisition and *** methods often rely on prior information such as low-rank characteristics or spatiotemporal correlation when recovering missing WSNs ***,in realistic application scenarios,it is very difficult to obtain these prior information from incomplete data ***,we aim to recover the missing WSNs data effectively while getting rid of the perplexity of prior *** designing the corresponding measurement matrix that can capture the position of missing data and sparse representation matrix,a compressive sensing(CS)based missing data recovery model is ***,we design a comparison standard to select the best sparse representation basis and introduce average cross-correlation to examine the rationality of the established ***,an improved fast matching pursuit algorithm is proposed to solve the *** results show that the proposed method can effectively recover the missing WSNs data.

关键词： average cross correlation matching pursuit missing data wireless sensor networks

matching pursuitS AMONG SHIFTED CAUCHY KERNELS IN HIGHER-DIMENSIONAL SPACES

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Acta Mathematica Scientia 2014年第3期34卷 660-672页

作者：钱涛王晋勋杨燕 Department of Mathematics University of Macao School of Mathematics and Computational Science Sun Yat-Sen University

Appealing to the Clifford analysis and matching pursuits, we study the adaptive decompositions of functions of several variables of finite energy under the dictionaries consisting of shifted Cauchy kernels. This is a realization of matching pursuits among shifted Cauchy kernels in higher-dimensional spaces. It offers a method to process signals in arbitrary dimensions.

关键词： Hardy space monogenic adaptive decomposition dictionary matching pursuit optimal approximation by rational functions