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An Introduction to Wavelets - ECE/CIS

An Introduction to WaveletsAmara GrapsABSTRACT. Wavelets are mathematical functions that cut up data into di erent frequency com-ponents, and then study each component with a resolution matched to its scale. They have ad-vantages over traditional Fourier methods in analyzing physical situations where the signal containsdiscontinuities and sharp spikes. Wavelets were developed independently in the elds of mathemat-ics, quantum physics, electrical engineering , and seismic geology. Interchanges between these eldsduring the last ten years have led to many newwavelet applications such as image compression,turbulence, human vision, radar, and earthquake prediction.

An Introduction to Wavelets Amara Graps ... °c 1995 Institute of Electrical and Electronics Engineers, Inc. Personal use of this material is permitted. The original version of this work appears in IEEE Computational Science and Engineering, Summer 1995, vol. 2, num. 2, published by the IEEE Computer Society, 10662 Los Vaqueros Circle, Los ...

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