Graphical system and method for designing a mother wavelet

Data processing: measuring – calibrating – or testing – Measurement system in a specific environment – Electrical signal parameter measurement system

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382207, 382276, G06K 936

Patent

active

061086096

ABSTRACT:
An improved system and method for designing a mother wavelet. The system and method first displays on the screen a filter P(z), wherein a mother wavelet is associated with the filter P(z). The filter P(z) is a product of two low pass filters G.sub.0 (z) and H.sub.0 (z), which collectively comprise a perfect reconstruction filter bank which models the wavelet. The method then displays on the screen a plot which illustrates a zeros distribution of P(z), as well as other information, such as the mother wavelet function, correlations, frequency responses, etc. The user can then graphically adjust the zeros distribution of P(z) on the plot in order to obtain the desired mother wavelet. This involves factorizing P(z) into G.sub.0 (z) and H.sub.0 (z), wherein the factorizing includes assigning one or more of the zeros illustrated in the plot to the functions G.sub.0 (z) and H.sub.0 (z) in response to user input. The step of adjusting the zeros distribution of P(z) on the plot also includes selecting a type of filter P(z). The operation of adjusting the zeros distribution of P(z) operates to automatically adjust one or more of the mother wavelet, the correlation, and the frequency response which are displayed on the screen, thus providing immediate feedback as to the performance of the mother wavelet. This enables the user to make the optimum choice for the mother wavelet.

REFERENCES:
Rioul et al. "A Remez Exchange Algorithm for Orthonormal Wavelets", IEEE, 1994.
The Wavelet Toolbox For Use with MATLAB, Matworks Inc., Mar. 3, 1996, selected pages from mathworks.com.
The Signal Processing Toolbox For Use with MATLAb, Mathworks, Jan. 1999, selected pages from mathworks.com.
Phoong et al., "A New Class of Two-Channel Biorthogonal Filter Banks and Wavelet Bases", IEEE, 1995.
Herley et al., "Wavelets and Recursive Filter Banks", IEEE, 1993.
LabVIEW Graphical Programming for Instrumentation, Digital Filter Design Toolkit Reference Manual, National Instruments, Aug. 1995, v-xi, 1-1 through 4-7, A-1 through G-2.

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