Computational Signal Processing with Wavelets
A. Teolis, Naval Research Laboratory, Washington D.C.
0-8176-3909-8 * 1997-Spring * $59.95. * Hardcover * 332 pages
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Wavelet Interface

The initial wavelet interface screen is shown below. It consists of three main panels for specifying the wavelet family, wavelet specific parameters, and filter bank parameters including sampling rate and interval. Wavelet families available are

Whichever wavelet appears in the wavelet interface is the currently loaded wavelet that is available for processing.

Wavelet Filter Banks

Filter banks require the specification of two additional parameters: number of filters Nf and a dilation constant a0>1. The bank has filters with impulse responses

{ Da0k g }, k = 1,2, ..., Nf,

where Ds is the L2 dilation by s operator defined as (Ds g)(t) = s1/2 g(s t).
Depressing the Morlet button causes the specified wavelet to be computed and displayed in time and frequency. Depressing the Bank button cause the specified wavelet to be computed and displayed in time and frequency (just as the Morlet button does) and additionally computes and displays the magnitude Frequency transfer functions for the entire filter bank and the total filter bank support function G where


G = sumk=1...Nf | (Da0k g)^ |2.


This function is directly related to the inversion properties of the transform.

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