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Proceedings Paper

Frequency domain representations of wavelet transforms
Author(s): Charles C. Mosher; Douglas J. Foster
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Paper Abstract

Much of the wavelet literature is focussed on wavelets with compact support in the time domain. For many geophysical applications, compact support in the frequency domain is desirable. For these applications, simple window functions can be used to construct appropriate filter banks in the frequency domain. Convolution with filter coefficients in the time domain is replaced with a Fourier transform and multiplication by window functions in the frequency domain. Given the dual nature of the Fourier transform, the time and frequency variables can be exchanged to produce a time windowing algorithm for computing wave packet transforms. Taken together, frequency-windowed and time-windowed wave packet transforms provide a comprehensive tool set for constructing new geophysical applications that take advantage of simultaneous access to time and frequency. Depending on the application, frequency windowing or time windowing may be more desirable.

Paper Details

Date Published: 1 September 1995
PDF: 16 pages
Proc. SPIE 2571, Mathematical Methods in Geophysical Imaging III, (1 September 1995); doi: 10.1117/12.218496
Show Author Affiliations
Charles C. Mosher, ARCO Exploration and Production Technology (United States)
Douglas J. Foster, Mobil Exploration and Production Technical Ctr. (United States)

Published in SPIE Proceedings Vol. 2571:
Mathematical Methods in Geophysical Imaging III
Siamak Hassanzadeh, Editor(s)

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