2002•Unpublished venueRequires access

Constructing wavelets from desired signal functions

Joseph O. Chapa, M.R. Raghuveer

Open publisher page 1 citations

Abstract

A limitation to wavelet design is the inability to construct orthonormal wavelets that match or are "tuned" to a desired signal. This paper develops a technique for constructing an orthonormal wavelet that is optimized in the least squares sense, and whose associated scaling function generates an orthonormal multiresolution analysis (OMRA).

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What this paper is about

A limitation to wavelet design is the inability to construct orthonormal wavelets that match or are "tuned" to a desired signal. This paper develops a technique for constructing an orthonormal wavelet that is optimized in the least squares sense, and whose associated scaling function generates an orthonormal multiresolution analysis (OMRA).

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Method / approach

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Available abstract

A limitation to wavelet design is the inability to construct orthonormal wavelets that match or are "tuned" to a desired signal. This paper develops a technique for constructing an orthonormal wavelet that is optimized in the least squares sense, and whose associated scaling function generates an orthonormal multiresolution analysis (OMRA).

Key concepts: Orthonormal basis, Wavelet, Legendre wavelet, Multiresolution analysis, SIGNAL (programming language), Construct (python library), Wavelet transform, Gabor wavelet

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