S+WAVELETS swMATH ID: 12244 Software Authors: Andrew G. Bruce; Hong-ye Gao Description: S+WAVELETS: An Object-Oriented Toolkit for Wavelet Analysis. S+WAVELETS is an object-oriented toolkit for wavelet analysis of signals, time series, images, and other data. It is a module of the S-Plus language for data analysis, statistics, and scientific computing. The module is oriented towards engineers, mathemeticians, statisticians, and scientists in a broad range of disciplines. S+WAVELETS is being used for applications as diverse as data visualization and analysis, nonparametric statistical estimation, signal and image compression, signal processing, and prototyping of new fast algorithms. The toolkit offers a rich collection of transforms, ranging from the classical discrete wavelet transform to timefrequency decompositions such as wavelet packets and cosine packets. A variety of algorithms and tools for selecting transforms are available, including the Coifman and Wickerhauser ”best basis” algorithm and the Mallat and Zhang ”matching pursuit” algorithm. With over 500 functions, S+WAVELETS provides a complete computing environment for wavelet analysis, allowing the user to manipulate, visualize, synthesize, and analyze wavelet objects. The object-oriented design of S+WAVELETS makes these functions easy to use and provides an organizing framework for wavelet analysis. Homepage: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.162 Related Software: glmnet; PDCO; sparsenet; WaveLab; reccv; UNLocBoX; Julia; R; flare; EBayesThresh; S-PLUS; Matlab; ForwardDiff; NeuralPDE.jl; DifferentialEquations.jl; SPGL1; GQTPAR; PhaseLift; BM3D; tproduct Cited in: 37 Documents all top 5 Cited by 90 Authors 3 Vidakovic, Brani 2 Antoniadis, Anestis 2 Aravkin, Aleksandr Y. 2 Breheny, Patrick 2 Huang, Jian 1 Averkamp, Roland 1 Bai, Minru 1 Baraldi, Robert J. 1 Bartz, Sedi 1 Benedetto, John Joseph 1 Bertsimas, Dimitris John 1 Bratlie, Jostein 1 Bredies, Kristian 1 Bruce, Andrew G. 1 Burger, Martin 1 Campoy, Rubén 1 Cao, Yongxiu 1 Chartrand, Rick 1 Chen, Dirong 1 Chesneau, Christophe 1 Chzhen, Evgenii 1 Cutillo, Luisa 1 Czaja, Wojciech 1 Da Silva, Ricardo Dutra 1 Dalmo, Rune 1 Davis, Damek Shea 1 Ehler, Martin 1 Fadili, Jalal M. 1 Fornasier, Massimo 1 Gao, Hongye 1 Gijbels, Irène 1 He, Can 1 He, Lin 1 Hebiri, Mohamed 1 Heinen, Dennis 1 Houdré, Christian 1 Jain, Paras 1 Jiao, Yuling 1 Jung, Yoon Young 1 Karlsson, Stefan 1 Lambert-Lacroix, Sophie 1 Lee, Kichun Sky 1 Li, Juelong 1 Liu, Yanyan 1 Lorenz, Dirk Alfred 1 Luu, Tung Duy 1 Maass, Peter 1 Mazumder, Rahul 1 Minetto, Rodrigo 1 Mrázek, Pavel 1 Ng, Michael Kwok-Po 1 Orban, Dominique 1 Pauphilet, Jean 1 Pedrini, Hélio 1 Phan, Hung M. 1 Plonka, Gerlind 1 Poggi, Jean-Michel 1 Qiu, Duo 1 Rauhut, Holger 1 Resmerita, Elena 1 Ruggeri, Fabrizio 1 Salmon, Joseph 1 Schifano, Elizabeth D. 1 Schwartz, William Robson 1 She, Yiyuan 1 Shen, Lixin 1 Shi, Yueyong 1 Steidl, Gabriele 1 Strawderman, Robert L. 1 Suter, Bruce W. 1 Tao, Terence 1 Tripp, Erin E. 1 Van Parys, Bart P. G. 1 Wang, Ping 1 Wei, Fengrong 1 Weickert, Joachim 1 Wells, Martin T. 1 Weng, Haolei 1 Woerdeman, Hugo Jan 1 Woodworth, Joseph T. 1 Xie, Dongxiu 1 Xing, Jianchun 1 Xu, An-Bao 1 Yang, Qiliang 1 Yu, Jun 1 Zhang, Cun-Hui 1 Zhang, Xiongjun 1 Zhang, Xun 1 Zhao, Yao 1 Zhu, Hongxiao all top 5 Cited in 26 Serials 3 Computational Statistics and Data Analysis 3 Applied and Computational Harmonic Analysis 3 Electronic Journal of Statistics 2 Inverse Problems 2 The Annals of Statistics 2 Journal of Optimization Theory and Applications 2 Circuits, Systems, and Signal Processing 1 Computing 1 Information Sciences 1 Journal of Approximation Theory 1 Journal of Statistical Planning and Inference 1 Mathematics of Operations Research 1 Results in Mathematics 1 Statistical Science 1 SIAM Journal on Optimization 1 International Journal of Computer Vision 1 Computational and Applied Mathematics 1 Statistica Sinica 1 Bernoulli 1 PAA. Pattern Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 The Annals of Applied Statistics 1 Statistics Surveys 1 GEM - International Journal on Geomathematics 1 Statistics and Computing all top 5 Cited in 12 Fields 22 Numerical analysis (65-XX) 18 Statistics (62-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year