Wavelet networks for estimation of coupled friction in robotic manipulators
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《JournalofLightwaveTechnology》期刊第2页50条数据《Journal of Lightwave Technology》期刊第2页50条数据https:///doc/8514081923.html,academic-journal-foreign_journal-lightwave-technology_info_11_1/1.《Dynamic Provisioning of Self-Organized Consumer Grid Services Over Integrated OBS/WSON Networks》原文链接:https:///doc/8514081923.html,/academic-journal-foreign_journal-lightwave-technology_thesis/020417921.html2.《Experimental Demonstration of Highly Resilient Wavelength-Switched Optical Networks With a Multivendor Interoperable GMPLS Control Plane》原文链接:https:///doc/8514081923.html,/academic-journal-foreign_journal-lightwave-technology_thesis/020417922.html3.《Overlapped-Subcarrier Multiplexing for WDM Passive Optical Networks: Experimental Verification and Mathematical Analysis》原文链接:https:///doc/8514081923.html,/academic-journal-foreign_journal-lightwave-technology_thesis/020417923.html4.《A Highly Efficient Computational Model for FDTD Simulations of Ultrafast Electromagnetic Interactions With Semiconductor Media 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1.1 如果是Matlab安装光盘上的工具箱,重新执行安装程序,选中即可;1.2 如果是单独下载的工具箱,一般情况下仅需要把新的工具箱解压到某个目录。
2 在matlab的file下面的set path把它加上。
3 把路径加进去后在file→Preferences→General的Toolbox Path Caching里点击update Toolbox Path Cache更新一下。
4 用which newtoolbox_command.m来检验是否可以访问。
如果能够显示新设置的路径,则表明该工具箱可以使用了。
把你的工具箱文件夹放到安装目录中“toolbox”文件夹中,然后单击“file”菜单中的“setpath”命令,打开“setpath”对话框,单击左边的“ADDFolder”命令,然后选择你的那个文件夹,最后单击“SAVE”命令就OK了。
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BrainStorm - MEG and EEG data visualization and processingCLAWPACK is a software package designed to compute numerical solutions to hyperbolic partial differential equations using a wave propagation approach/~claw/DIPimage - Image Processing ToolboxPRTools - Pattern Recognition Toolbox (+ Neural Networks)NetLab - Neural Network ToolboxFSTB - Fuzzy Systems ToolboxFusetool - Image Fusion Toolboxhttp://www.metapix.de/toolbox.htmWAVEKIT - Wavelet ToolboxGat - Genetic Algorithm ToolboxTSTOOL is a MATLAB software package for nonlinear time series analysis.TSTOOL can be used for computing: Time-delay reconstruction, Lyapunov exponents, Fractal dimensions, Mutual information, Surrogate data tests, Nearest neighbor statistics, Return times, Poincare sections, Nonlinear predictionhttp://www.physik3.gwdg.de/tstool/MATLAB / Data description toolboxA Matlab toolbox for data description, outlier and novelty detectionMarch 26, 2004 - D.M.J. Taxhttp://www-ict.ewi.tudelft.nl/~davidt/dd_tools/dd_manual.htmlMBEhttp://www.pmarneffei.hku.hk/mbetoolbox/Betabolic network toolbox for Matlabhttp://www.molgen.mpg.de/~lieberme/pages/network_matlab.htmlPharmacokinetics toolbox for Matlabhttp://page.inf.fu-berlin.de/~lieber/seiten/pbpk_toolbox.htmlThe SpiderThe spider is intended to be a complete object orientated environment for machine learning in Matlab. Aside from easy use of base learning algorithms, algorithms can be plugged together and can be compared with, e.g model selection, statistical tests and visual plots. 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That should help Video Quality project.Filter Design packagehttp://www.ee.ryerson.ca:8080/~mzeytin/dfp/index.htmlOctave by Christophe COUVREUR (Generates normalized A-weigthing, C-weighting, octave and one-third-octave digital filters)/matlabcentral/fileexchange/loadFile.do?objectType=file&object Id=69Source Coding MATLAB Toolbox/users/kieffer/programs.htmlBio Medical Informatics (Top)CGH-Plotter: MATLAB Toolbox for CGH-data AnalysisCode: http://sigwww.cs.tut.fi/TICSP/CGH-Plotter/Poster: http://sigwww.cs.tut.fi/TICSP/CSB2003/Posteri_CGH_Plotter.pdfThe Brain Imaging Software Toolboxhttp://www.bic.mni.mcgill.ca/software/MRI Brain Segmentation/matlabcentral/fileexchange/loadFile.do?objectId=4879Chemometrics (providing PCA) (Top)Matlab Molecular Biology & Evolution Toolbox(Toolbox Enables Evolutionary Biologists to Analyze and View DNA and Protein Sequences) James J. Caihttp://www.pmarneffei.hku.hk/mbetoolbox/Toolbox provided by Prof. Massart research grouphttp://minf.vub.ac.be/~fabi/publiek/Useful collection of routines from Prof age smilde research grouphttp://www-its.chem.uva.nl/research/pacMultivariate Toolbox written by Rune Mathisen/~mvartools/index.htmlMatlab code and datasetshttp://www.acc.umu.se/~tnkjtg/chemometrics/dataset.htmlChaos (Top)Chaotic Systems Toolbox/matlabcentral/fileexchange/loadFile.do?objectId=1597&objectT ype=file#HOSA Toolboxhttp://www.mathworks.nl/matlabcentral/fileexchange/loadFile.do?objectId=3013&objectTy pe=fileChemistry (Top)MetMAP - (Metabolical Modeling, Analysis and oPtimization alias Met. M. A. P.)http://webpages.ull.es/users/sympbst/pag_ing/pag_metmap/index.htmDoseLab - A set of software programs for quantitative comparison of measured and computed radiation dose distributions/GenBank Overview/Genbank/GenbankOverview.htmlMatlab: /matlabcentral/fileexchange/loadFile.do?objectId=1139CodingCode for the estimation of Scaling Exponentshttp://www.cubinlab.ee.mu.oz.au/~darryl/secondorder_code.htmlControl (Top)Control Tutorial for Matlab/group/ctm/AnotherCommunications (Top)Channel Learning Architecture toolbox(This Matlab toolbox is a supplement to the article "HiperLearn: A High Performance Learning Architecture")http://www.isy.liu.se/cvl/Projects/hiperlearn/Source Coding MATLAB Toolbox/users/kieffer/programs.htmlTCP/UDP/IP Toolbox 2.0.4/matlabcentral/fileexchange/loadFile.do?objectId=345&objectT ype=fileHome Networking Basis: Transmission Environments and Wired/Wireless Protocols Walter Y. Chen/support/books/book5295.jsp?category=new&language=-1MATLAB M-files and Simulink models/matlabcentral/fileexchange/loadFile.do?objectId=3834&object Type=file•OPNML/MATLAB Facilities/OPNML_Matlab/Mesh Generation/home/vavasis/qmg-home.htmlOpenFEM : An Open-Source Finite Element Toolbox/CALFEM is an interactive computer program for teaching the finite element method (FEM)http://www.byggmek.lth.se/Calfem/frinfo.htmThe Engineering Vibration Toolbox/people/faculty/jslater/vtoolbox/vtoolbox.htmlSaGA - Spatial and Geometric Analysis Toolboxby Kirill K. Pankratov/~glenn/kirill/saga.htmlMexCDF and NetCDF Toolbox For Matlab-5&6/staffpages/cdenham/public_html/MexCDF/nc4ml5.htmlCUEDSID: Cambridge University System Identification Toolbox/jmm/cuedsid/Kriging Toolbox/software/Geostats_software/MATLAB_KRIGING_TOOLBOX.htmMonte Carlo (Dr Nando)http://www.cs.ubc.ca/~nando/software.htmlRIOTS - The Most Powerful Optimal Control Problem Solver/~adam/RIOTS/ExcelMATLAB xlsheets/matlabcentral/fileexchange/loadFile.do?objectId=4474&objectTy pe=filewrite2excel/matlabcentral/fileexchange/loadFile.do?objectId=4414&objectTy pe=fileFinite Element Modeling (FEM) (Top)OpenFEM - An Open-Source Finite Element Toolbox/NLFET - nonlinear finite element toolbox for MATLAB ( framework for setting up, solving, and interpreting results for nonlinear static and dynamic finite element analysis.)/GetFEM - C++ library for finite element methods elementary computations with a Matlabinterfacehttp://www.gmm.insa-tlse.fr/getfem/FELIPE - FEA package to view results ( contains neat interface to MATLA/~blstmbr/felipe/Finance (Top)A NEW MATLAB-BASED TOOLBOX FOR COMPUTER AIDED DYNAMIC TECHNICAL TRADINGStephanos Papadamou and George StephanidesDepartment of Applied Informatics, University Of Macedonia Economic & Social Sciences, Thessaloniki, Greece/fen31/one_time_articles/dynamic_tech_trade_matlab6.htm Paper: :8089/eps/prog/papers/0201/0201001.pdfCompEcon Toolbox for Matlab/~pfackler/compecon/toolbox.htmlGenetic Algorithms (Top)The Genetic Algorithm Optimization Toolbox (GAOT) for Matlab 5/mirage/GAToolBox/gaot/Genetic Algorithm ToolboxWritten & distributed by Andy Chipperfield (Sheffield University, UK)/uni/projects/gaipp/gatbx.htmlManual: /~gaipp/ga-toolbox/manual.pdfGenetic and Evolutionary Algorithm Toolbox (GEATbx)/Evolutionary Algorithms for MATLAB/links/ea_matlab.htmlGenetic/Evolutionary Algorithms for MATLABhttp://www.systemtechnik.tu-ilmenau.de/~pohlheim/EA_Matlab/ea_matlab.html GraphicsVideoToolbox (C routines for visual psychophysics on Macs by Denis Pelli)/VideoToolbox/Paper: /pelli/pubs/pelli1997videotoolbox.pdf4D toolbox/~daniel/links/matlab/4DToolbox.htmlImages (Top)Eyelink Toolbox/eyelinktoolbox/Paper: /eyelinktoolbox/EyelinkToolbox.pdfCellStats: Automated statistical analysis of color-stained cell images in Matlabhttp://sigwww.cs.tut.fi/TICSP/CellStats/SDC Morphology Toolbox for MATLAB (powerful collection of latest state-of-the-art gray-scale morphological tools that can be applied to image segmentation, non-linear filtering, pattern recognition and image analysis)/Image Acquisition Toolbox/products/imaq/Halftoning Toolbox for MATLAB/~bevans/projects/halftoning/toolbox/index.htmlDIPimage - A Scientific Image Processing Toolbox for MATLABhttp://www.ph.tn.tudelft.nl/DIPlib/dipimage_1.htmlPNM Toolboxhttp://home.online.no/~pjacklam/matlab/software/pnm/index.htmlAnotherICA / KICA and KPCA (Top)ICA TU Toolboxhttp://mole.imm.dtu.dk/toolbox/menu.htmlMISEP Linear and Nonlinear ICA Toolboxhttp://neural.inesc-id.pt/~lba/ica/mitoolbox.htmlKernel Independant Component Analysis/~fbach/kernel-ica/index.htmMatlab: kernel-ica version 1.2KPCA- Please check the software section of kernel machines.KernelStatistical Pattern Recognition Toolboxhttp://cmp.felk.cvut.cz/~xfrancv/stprtool/MATLABArsenal A MATLAB Wrapper for Classification/tmp/MATLABArsenal.htmMarkov (Top)MapHMMBOX 1.1 - Matlab toolbox for Hidden Markov Modelling using Max. Aposteriori EM Prerequisites: Matlab 5.0, Netlab. Last Updated: 18 March 2002./~parg/software/maphmmbox_1_1.tarHMMBOX 4.1 - Matlab toolbox for Hidden Markov Modelling using Variational Bayes Prerequisites: Matlab 5.0,Netlab. Last Updated: 15 February 2002../~parg/software/hmmbox_3_2.tar/~parg/software/hmmbox_4_1.tarMarkov Decision Process (MDP) Toolbox for MatlabKevin Murphy, 1999/~murphyk/Software/MDP/MDP.zipMarkov Decision Process (MDP) Toolbox v1.0 for MATLABhttp://www.inra.fr/bia/T/MDPtoolbox/Hidden Markov Model (HMM) Toolbox for Matlab/~murphyk/Software/HMM/hmm.htmlBayes Net Toolbox for Matlab/~murphyk/Software/BNT/bnt.htmlMedical (Top)EEGLAB Open Source Matlab Toolbox for Physiological Research (formerly ICA/EEG Matlabtoolbox)/~scott/ica.htmlMATLAB Biomedical Signal Processing Toolbox/Toolbox/Powerful package for neurophysiological data analysis ( Igor Kagan webpage)/Matlab/Unitret.htmlEEG / MRI Matlab Toolbox/Microarray data analysis toolbox (MDAT): for normalization, adjustment and analysis of gene expression_r data.Knowlton N, Dozmorov IM, Centola M. Department of Arthritis and Immunology, Oklahoma Medical Research Foundation, Oklahoma City, OK, USA 73104. We introduce a novel Matlab toolbox for microarray data analysis. This toolbox uses normalization based upon a normally distributed background and differential gene expression_r based on 5 statistical measures. The objects in this toolbox are open source and can be implemented to suit your application. AVAILABILITY: MDAT v1.0 is a Matlab toolbox and requires Matlab to run. MDAT is freely available at:/publications/2004/knowlton/MDAT.zipMIDI (Top)MIDI Toolbox version 1.0 (GNU General Public License)http://www.jyu.fi/musica/miditoolbox/Misc. (Top)MATLAB-The Graphing Tool/~abrecht/matlab.html3-D Circuits The Circuit Animation Toolbox for MATLAB/other/3Dcircuits/SendMailhttp://carol.wins.uva.nl/~portegie/matlab/sendmail/Coolplothttp://www.reimeika.ca/marco/matlab/coolplots.htmlMPI (Matlab Parallel Interface)Cornell Multitask Toolbox for MATLAB/Services/Software/CMTM/Beolab Toolbox for v6.5Thomas Abrahamsson (Professor, Chalmers University of Technology, Applied Mechanics,Göteborg, Sweden)http://www.mathworks.nl/matlabcentral/fileexchange/loadFile.do?objectId=1216&objectType =filePARMATLABNeural Networks (Top)SOM Toolboxhttp://www.cis.hut.fi/projects/somtoolbox/Bayes Net Toolbox for Matlab/~murphyk/Software/BNT/bnt.htmlNetLab/netlab/Random Neural Networks/~ahossam/rnnsimv2/ftp: ftp:///pub/contrib/v5/nnet/rnnsimv2/NNSYSID Toolbox (tools for neural network based identification of nonlinear dynamic systems) http://www.iau.dtu.dk/research/control/nnsysid.htmlOceanography (Top)WAFO. Wave Analysis for Fatigue and Oceanographyhttp://www.maths.lth.se/matstat/wafo/ADCP toolbox for MATLAB (USGS, USA)Presented at the Hydroacoustics Workshop in Tampa and at ADCP's in Action in San Diego /operations/stg/pubs/ADCPtoolsSEA-MAT - Matlab Tools for Oceanographic AnalysisA collaborative effort to organize and distribute Matlab tools for the Oceanographic Community /Ocean Toolboxhttp://www.mar.dfo-mpo.gc.ca/science/ocean/epsonde/programming.htmlEUGENE D. 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Anglia/~gcc/svm/toolbox/LS-SVM - SISTASVM toolboxes/dmi/svm/LSVM Lagrangian Support Vector Machine/dmi/lsvm/Statistics (Top)Logistic regression/SAGA/software/saga/Multi-Parametric Toolbox (MPT) A tool (not only) for multi-parametric optimization. http://control.ee.ethz.ch/~mpt/ARfit: A Matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive modelshttp://www.mat.univie.ac.at/~neum/software/arfit/The Dimensional Analysis Toolbox for MATLABHome: http://www.sbrs.de/Paper: http://www.isd.uni-stuttgart.de/~brueckner/Papers/similarity2002.pdfFATHOM for Matlab/personal/djones/PLS-toolbox/Multivariate analysis toolbox (N-way Toolbox - paper)http://www.models.kvl.dk/source/nwaytoolbox/index.aspClassification Toolbox for Matlabhttp://tiger.technion.ac.il/~eladyt/classification/index.htmMatlab toolbox for Robust Calibrationhttp://www.wis.kuleuven.ac.be/stat/robust/toolbox.htmlStatistical Parametric Mapping/spm/spm2.htmlEVIM: A Software Package for Extreme 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doi:10.3969/j.issn.1003-3114.2024.02.003引用格式:王兆瑞,刘亮,崔曙光.智能反射面辅助通信中的信道估计方法[J].无线电通信技术,2024,50(2):238-244.[WANGZhaorui,LIULiang,CUIShuguang.ChannelEstimationinIntelligentReflectingSurfaceAssistedCommunications[J].RadioCommunicationsTechnology,2024,50(2):238-244.]智能反射面辅助通信中的信道估计方法王兆瑞1,2,刘 亮3,崔曙光1,2(1.香港中文大学(深圳)未来智联网络研究院,广东深圳518172;2.香港中文大学(深圳)理工学院,广东深圳518172;3.香港理工大学电子与信息工程系,香港999077)摘 要:信道信息对于智能反射面(IntelligentReflectingSurface,IRS)辅助的通信系统十分关键。
由于IRS反射单元的数量十分巨大,信道估计和信道反馈的开销一直制约着IRS辅助的通信系统的性能。
为解决这一难题,介绍了IRS辅助的通信系统中信道的特性。
不同用户共享同一基站(BaseStation,BS)-IRS信道,而BS-IRS-用户串联信道具有很强的关联性。
基于这一特有的信道特性,提出了IRS辅助的通信系统上行信道估计方法、下行信道估计和信道反馈方法;理论性地刻画了以上方法所需要的最小信道估计开销和信道反馈开销,以揭示所提方法在IRS辅助的通信系统中相对于传统信道信息获取方法的巨大优势。
关键词:智能反射面;信道估计;信道反馈中图分类号:TN929.5 文献标志码:A 开放科学(资源服务)标识码(OSID):文章编号:1003-3114(2024)02-0238-07ChannelEstimationinIntelligentReflectingSurfaceAssistedCommunicationsWANGZhaorui1,2,LIULiang3 ,CUIShuguang1,2(1.FNii,TheChineseUniversityofHongKong,Shenzhen,Shenzhen518172,China;2.SSE,TheChineseUniversityofHongKong,Shenzhen,Shenzhen518172,China;3.EIE,TheHongKongPolytechnicUniversity,HongKong999077,China)Abstract:ChannelstateinformationisthekeytoIntelligentReflectingSurface(IRS)assistedcommunicationsystem.BecauseofhugenumberofIRSelements,overheadforchannelestimationandchanneloverheadisafundamentalissuethatlimitstheperformanceofIRS assistedcommunication.Toovercomethisissue,thispaperwillfirstshowauniquepropertyofthechannelsinIRS assistedcommunication.Specifically,duetothecommonchannelbetweenBaseStation(BS)andIRS,BS IRS usercascadedchannelsofdifferentusersarehighlycorrelatedtoeachother.Then,basedonaboveproperty,thispaperwillrespectivelyintroducechannelestimationmethodsinuplinkcommunicationandchannelestimationandfeedbackmethodsindownlink.Moreover,theminimumoverheadofabovemethodswillbetheoreticallycharacterizedfordemonstratingthegainoverconventionalchannelestimationandfeedbackmethodsinIRS assistedcommunicationsystems.Keywords:IRS;channelestimation;channelfeedback收稿日期:2023-11-21基金项目:国家自然科学基金(62293482);深港科技合作区河套基础研究(HZQBKCZYZ 2021067);国家重点研发计划(2018YFB1800800);深圳市杰出人才计划(202002);广东省科研项目(2017ZT07X152,2019CX01X104);广东省未来智联网络重点实验室(2022B1212010001);深圳市大数据和人工智能重点实验室(ZDSYS201707251409055)FoundationItem:NationalNaturalScienceFoundationofChina(62293482);BasicResearchProjectofHetaoShenzhen HKS&TCooperationZone(HZQBKCZYZ 2021067);NationalKeyR&DProgramofChina(2018YFB1800800);ShenzhenOutstandingTalentsTrainingFund(202002);GuangdongResearchProjects(2017ZT07X152,2019CX01X104);GuangdongProvincialKeyLaboratoryofFutureNetworksofIntelligence(2022B1212010001);ShenzhenKeyLaboratoryofBigDataandArtificialIntelligence(ZDSYS201707251409055)0 引言在无线通信中,由于建筑物等遮挡的存在,通信链路会受到影响。
小波变换与卷积神经网络的综合应用研究随着人工智能的快速发展,卷积神经网络(Convolutional Neural Network,CNN)作为一种重要的深度学习模型,已经在图像识别、语音处理等领域取得了显著的成果。
而小波变换(Wavelet Transform)作为一种有效的信号处理方法,可以提取信号的时频特征,被广泛应用于图像压缩、噪声去除等领域。
本文将探讨小波变换与卷积神经网络的综合应用研究,以期发现两者结合的潜力和优势。
首先,我们来了解一下小波变换的基本原理。
小波变换是一种将信号分解成不同频率的子信号的方法,通过对信号进行多尺度的分析,可以获得信号的时频特征。
与传统的傅里叶变换相比,小波变换具有更好的局部性和时频局部化特性,能够更好地捕捉信号的瞬时特征。
因此,小波变换在信号处理中具有广泛的应用前景。
而卷积神经网络是一种模仿人脑神经系统的深度学习模型,通过多层卷积和池化操作,能够从原始数据中提取出高级的特征表示。
卷积神经网络在图像识别、目标检测等领域取得了巨大的成功,成为了计算机视觉领域的重要工具。
小波变换和卷积神经网络有着不同的特点和优势,因此将两者结合起来,可以进一步提升模型的性能和泛化能力。
一种常见的方法是将小波变换作为卷积神经网络的前处理步骤,将原始信号转换为小波系数,然后再输入到卷积神经网络中进行特征提取和分类。
这样做的好处是可以更好地利用小波变换的时频特征,提高模型对信号的理解能力。
另一种方法是将小波变换和卷积神经网络融合在一起,构建小波卷积神经网络(Wavelet Convolutional Neural Network,WCNN)。
WCNN利用小波变换的多尺度分析能力,将小波系数作为卷积核,从而实现了对不同频率的信号进行不同程度的处理。
这样做的好处是可以更好地捕捉信号的时频特征,并且在处理多尺度信号时能够更加高效。
小波变换与卷积神经网络的综合应用研究还有很多其他的方向和方法。
多模态遥感预训练模型综述多模态遥感预训练模型是一种结合了图像和文本的先进技术,可以对遥感数据进行分析和理解。
本文将对多模态遥感预训练模型进行综述,从定义、应用领域、优势和研究进展等方面进行介绍。
多模态遥感预训练模型是指利用深度学习技术对遥感图像和文本数据进行联合预训练的模型。
它可以同时处理图像和文本信息,使得模型具备了图像理解和语义理解的能力。
这种模型可以广泛应用于地球观测、环境监测、农业和城市规划等领域。
多模态遥感预训练模型的优势主要体现在以下几个方面。
首先,它可以通过学习大规模遥感数据的特征表示,提取出图像和文本数据的高层次语义信息。
这使得模型在分类、检测和识别等任务中具备了更好的性能。
其次,多模态预训练模型可以通过联合训练,充分利用图像和文本之间的互补性,提高模型的泛化能力。
此外,多模态预训练模型还可以有效解决遥感数据中的标注缺乏和标注不准确的问题。
近年来,多模态遥感预训练模型在研究中取得了一系列的进展。
一方面,研究者们提出了一些创新的模型结构,如图像和文本的融合模型、多模态特征融合模型等,以进一步提升模型的性能。
另一方面,研究者们还通过构建大规模的多模态遥感数据集,提高了模型的训练效果和泛化能力。
此外,还有一些研究致力于将多模态遥感预训练模型应用于实际问题,如地物分类、遥感图像检索和场景理解等。
多模态遥感预训练模型是一种利用深度学习技术对遥感图像和文本数据进行联合预训练的模型。
它具备了图像理解和语义理解的能力,并在地球观测、环境监测等领域具有广泛的应用前景。
随着研究的不断深入,多模态遥感预训练模型将为遥感数据的分析和理解提供更加准确和高效的解决方案。
wavelet哈曼曲线Wavelet哈曼曲线(Wavelet Haar Curve)是数学中的一个深受欢迎的对象,其最初的形式是由数学家Alfréd Haar在19世纪末发现的。
Wavelet哈曼曲线是一种分形图形,其具有分析和计算的多种应用,涉及信号处理、数据压缩、图像处理以及模式识别等领域。
本文将介绍Wavelet哈曼曲线的基础概念和特性,并探讨其在数据处理和模式识别方面的应用。
Wavelet哈曼曲线的基础概念Wavelet哈曼曲线可以通过一系列的变换产生。
最初,我们从一个形如[1,1]的二元数据序列出发,这个序列可以表示为:{1,1}。
接下来,通过将每个元素展开到它的矩形区域中,并缩放到1/2的大小,就可以计算出一个新的二元序列。
新的序列是由每个小矩形的左下角和右上角的元素组成的,这个序列可以表示为:{1,0,0,1}。
我们可以通过多次应用这个过程,从而得到Wavelet哈曼曲线。
例如,在第二个级别,我们将原始的[1,1]序列转换为{1,1,0,0,0,0,0,1}。
在第三级别,我们将这个序列转换为{1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}。
我们可以继续这个过程,直到得到所需的曲线。
Wavelet哈曼曲线的主要特性Wavelet哈曼曲线的主要特性是其分形性质。
分形是一种自相似的几何图形,即当它的尺度改变时,它的形状保持不变。
Wavelet哈曼曲线的分形特性使得它在数据分析和处理方面具有广泛的应用。
Wavelet哈曼曲线还具有以下几个重要特性:1. 压缩性:Wavelet哈曼曲线在压缩数据方面非常有效。
通过不断缩小尺度,我们可以将数据压缩到很小的空间中,从而实现高效的数据存储和传输。
2. 缩放性:Wavelet哈曼曲线的缩放特性使得它可以应用于各种规模的数据集。
它可以从小规模的数据集开始,逐渐缩小比例应用于大规模的数据集。
3. 局部性:Wavelet哈曼曲线不仅可以描述整个数据集,还可以描述数据集中的局部细节。
Matlab的第三方工具箱大全(按住CTRL点击连接就可以到达每个工具箱的主页面来下载了)Matlab Toolboxes∙ADCPtools - acoustic doppler current profiler data processing∙AFDesign - designing analog and digital filters∙AIRES - automatic integration of reusable embedded software∙Air-Sea - air-sea flux estimates in oceanography∙Animation - developing scientific animations∙ARfit - estimation of parameters and eigenmodes of multivariate autoregressive methods∙ARMASA - power spectrum estimation∙AR-Toolkit - computer vision tracking∙Auditory - auditory models∙b4m - interval arithmetic∙Bayes Net - inference and learning for directed graphical models∙Binaural Modeling - calculating binaural cross-correlograms of sound∙Bode Step - design of control systems with maximized feedback∙Bootstrap - for resampling, hypothesis testing and confidence interval estimation ∙BrainStorm - MEG and EEG data visualization and processing∙BSTEX - equation viewer∙CALFEM - interactive program for teaching the finite element method∙Calibr - for calibrating CCD cameras∙Camera Calibration∙Captain - non-stationary time series analysis and forecasting∙CHMMBOX - for coupled hidden Markov modeling using max imum likelihood EM ∙Classification - supervised and unsupervised classification algorithms∙CLOSID∙Cluster - for analysis of Gaussian mixture models for data set clustering∙Clustering - cluster analysis∙ClusterPack - cluster analysis∙COLEA - speech analysis∙CompEcon - solving problems in economics and finance∙Complex - for estimating temporal and spatial signal complexities∙Computational Statistics∙Coral - seismic waveform analysis∙DACE - kriging approximations to computer models∙DAIHM - data assimilation in hydrological and hydrodynamic models∙Data Visualization∙DBT - radar array processing∙DDE-BIFTOOL - bifurcation analysis of delay differential equations∙Denoise - for removing noise from signals∙DiffMan - solv ing differential equations on manifolds∙Dimensional Analysis -∙DIPimage - scientific image processing∙Direct - Laplace transform inversion via the direct integration method∙DirectSD - analysis and design of computer controlled systems with process-oriented models∙DMsuite - differentiation matrix suite∙DMTTEQ - design and test time domain equalizer design methods∙DrawFilt - drawing digital and analog filters∙DSFWAV - spline interpolation with Dean wave solutions∙DWT - discrete wavelet transforms∙EasyKrig∙Econometrics∙EEGLAB∙EigTool - graphical tool for nonsymmetric eigenproblems∙EMSC - separating light scattering and absorbance by extended multiplicative signal correction∙Engineering Vibration∙FastICA - fixed-point algorithm for ICA and projection pursuit∙FDC - flight dynamics and control∙FDtools - fractional delay filter design∙FlexICA - for independent components analysis∙FMBPC - fuzzy model-based predictive control∙ForWaRD - Fourier-wavelet regularized deconvolution∙FracLab - fractal analysis for signal processing∙FSBOX - stepwise forward and backward selection of features using linear regression∙GABLE - geometric algebra tutorial∙GAOT - genetic algorithm optimization∙Garch - estimating and diagnosing heteroskedasticity in time series models∙GCE Data - managing, analyzing and displaying data and metadata stored using the GCE data structure specification∙GCSV - growing cell structure visualization∙GEMANOVA - fitting multilinear ANOVA models∙Genetic Algorithm∙Geodetic - geodetic calculations∙GHSOM - growing hierarchical self-organizing map∙glmlab - general linear models∙GPIB - wrapper for GPIB library from National Instrument∙GTM - generative topographic mapping, a model for density modeling and data visualization∙GVF - gradient vector flow for finding 3-D object boundaries∙HFRadarmap - converts HF radar data from radial current vectors to total vectors ∙HFRC - importing, processing and manipulating HF radar data∙Hilbert - Hilbert transform by the rational eigenfunction expansion method∙HMM - hidden Markov models∙HMMBOX - for hidden Markov modeling using maximum likelihood EM∙HUTear - auditory modeling∙ICALAB - signal and image processing using ICA and higher order statistics∙Imputation - analysis of incomplete datasets∙IPEM - perception based musical analysisJMatLink - Matlab Java classesKalman - Bayesian Kalman filterKalman Filter - filtering, smoothing and parameter estimation (using EM) for linear dynamical systemsKALMTOOL - state estimation of nonlinear systemsKautz - Kautz filter designKrigingLDestimate - estimation of scaling exponentsLDPC - low density parity check codesLISQ - wavelet lifting scheme on quincunx gridsLKER - Laguerre kernel estimation toolLMAM-OLMAM - Levenberg Marquardt with Adaptive Momentum algorithm for training feedforward neural networksLow-Field NMR - for exponential fitting, phase correction of quadrature data and slicing LPSVM - Newton method for LP support vector machine for machine learning problems LSDPTOOL - robust control system design using the loop shaping design procedure LS-SVMlabLSVM - Lagrangian support vector machine for machine learning problemsLyngby - functional neuroimagingMARBOX - for multivariate autogressive modeling and cross-spectral estimation MatArray - analysis of microarray dataMatrix Computation- constructing test matrices, computing matrix factorizations, visualizing matrices, and direct search optimizationMCAT - Monte Carlo analysisMDP - Markov decision processesMESHPART - graph and mesh partioning methodsMILES - maximum likelihood fitting using ordinary least squares algorithmsMIMO - multidimensional code synthesisMissing - functions for handling missing data valuesM_Map - geographic mapping toolsMODCONS - multi-objective control system designMOEA - multi-objective evolutionary algorithmsMS - estimation of multiscaling exponentsMultiblock - analysis and regression on several data blocks simultaneously Multiscale Shape AnalysisMusic Analysis - feature extraction from raw audio signals for content-based music retrievalMWM - multifractal wavelet modelNetCDFNetlab - neural network algorithmsNiDAQ - data acquisition using the NiDAQ libraryNEDM - nonlinear economic dynamic modelsNMM - numerical methods in Matlab textNNCTRL - design and simulation of control systems based on neural networks NNSYSID - neural net based identification of nonlinear dynamic systemsNSVM - newton support vector machine for solv ing machine learning problems NURBS - non-uniform rational B-splinesN-way - analysis of multiway data with multilinear modelsOpenFEM - finite element developmentPCNN - pulse coupled neural networksPeruna - signal processing and analysisPhiVis- probabilistic hierarchical interactive visualization, i.e. functions for visual analysis of multivariate continuous dataPlanar Manipulator - simulation of n-DOF planar manipulatorsPRT ools - pattern recognitionpsignifit - testing hyptheses about psychometric functionsPSVM - proximal support vector machine for solving machine learning problems Psychophysics - vision researchPyrTools - multi-scale image processingRBF - radial basis function neural networksRBN - simulation of synchronous and asynchronous random boolean networks ReBEL - sigma-point Kalman filtersRegression - basic multivariate data analysis and regressionRegularization ToolsRegularization Tools XPRestore ToolsRobot - robotics functions, e.g. kinematics, dynamics and trajectory generation Robust Calibration - robust calibration in statsRRMT - rainfall-runoff modellingSAM - structure and motionSchwarz-Christoffel - computation of conformal maps to polygonally bounded regions SDH - smoothed data histogramSeaGrid - orthogonal grid makerSEA-MAT - oceanographic analysisSLS - sparse least squaresSolvOpt - solver for local optimization problemsSOM - self-organizing mapSOSTOOLS - solving sums of squares (SOS) optimization problemsSpatial and Geometric AnalysisSpatial RegressionSpatial StatisticsSpectral MethodsSPM - statistical parametric mappingSSVM - smooth support vector machine for solving machine learning problems STATBAG - for linear regression, feature selection, generation of data, and significance testingStatBox - statistical routinesStatistical Pattern Recognition - pattern recognition methodsStixbox - statisticsSVM - implements support vector machinesSVM ClassifierSymbolic Robot DynamicsTEMPLAR - wavelet-based template learning and pattern classificationTextClust - model-based document clusteringTextureSynth - analyzing and synthesizing visual texturesTfMin - continous 3-D minimum time orbit transfer around EarthTime-Frequency - analyzing non-stationary signals using time-frequency distributions Tree-Ring - tasks in tree-ring analysisTSA - uni- and multivariate, stationary and non-stationary time series analysisTSTOOL - nonlinear time series analysisT_Tide - harmonic analysis of tidesUTVtools - computing and modifying rank-revealing URV and UTV decompositions Uvi_Wave - wavelet analysisvarimax - orthogonal rotation of EOFsVBHMM - variation Bayesian hidden Markov modelsVBMFA - variational Bayesian mixtures of factor analyzersVMT- VRML Molecule Toolbox, for animating results from molecular dynamics experimentsVOICEBOXVRMLplot - generates interactive VRML 2.0 graphs and animationsVSVtools - computing and modifying symmetric rank-revealing decompositions WAFO - wave analysis for fatique and oceanographyWarpTB - frequency-warped signal processingWAVEKIT - wavelet analysisWaveLab - wavelet analysisWeeks - Laplace transform inversion via the Weeks methodWetCDF - NetCDF interfaceWHMT - wavelet-domain hidden Markov tree modelsWInHD - Wavelet-based inverse halftoning via deconvolutionWSCT - weighted sequences clustering toolkitXMLTree - XML parserYAADA - analyze single particle mass spectrum dataZMAP - quantitative seismicity analysis。