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Wavelet transforms: Application to data analysis - I |
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| Authors: | Jatan?K?Modi |
| Institution: | (1) Oharmsinh Desai Institute of Technology, 387 001 Nadiad, India;(2) Physical Research Laboratory, Navrangpura, 380 009 Ahmedabad, India;(3) National PARAM Superconducting Facility, Centre for Development of Advanced Computing (C-DAC), Pune University Campus, Ganesh Khind, 411 007 Pune, India |
| Abstract: | In this article, we elaborate upon the key ideas underlying the construction of various wavelet basis sets. The roles of translation and scaling, which enable the wavelets to localize variations at desired levels of resolution, are clearly brought out. After explaining the implementation of one dimensional wavelet transform, we illustrate their usefulness through the analysis of a data set. |
| Keywords: | Discrete wavelet transform multi-resolution analysis (MRA) translation scaling Daubechies’ basis sets |
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