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An Introduction to Wavelets - University of Delaware

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. This paper introduceswavelets to theinterested technical person outside of the digital signal processing eld.

Other applied flelds that are making use of wavelets include astronomy, acoustics, nuclear engi- neering, sub-band coding, signal and image processing, neurophysiology, music, magnetic resonance imaging, speech discrimination, optics, fractals, turbulence, earthquake-prediction, radar, …

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  Nuclear, Magnetic, Resonance, Magnetic resonance

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