2002Unpublished venueRequires access

Wavelet function, scaling function and discrete wavelet transform

Q. Jin, K.M. Wong, Zhongqiang Luo

Open publisher page 3 citations

Abstract

In this paper, we discuss the general condition for a function to be a wavelet function or a scaling function. We also discuss the condition for the functions to form a multiresolution wavelet decomposition and reconstruction. The relationships between continuous wavelet transform and discrete wavelet transform are established.>

About this research paper

What this paper is about

In this paper, we discuss the general condition for a function to be a wavelet function or a scaling function. We also discuss the condition for the functions to form a multiresolution wavelet decomposition and reconstruction. The relationships between continuous wavelet transform and discrete wavelet transform are established.>

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

In this paper, we discuss the general condition for a function to be a wavelet function or a scaling function. We also discuss the condition for the functions to form a multiresolution wavelet decomposition and reconstruction. The relationships between continuous wavelet transform and discrete wavelet transform are established.>

Key concepts: Discrete wavelet transform, Wavelet, Wavelet transform, Stationary wavelet transform, Second-generation wavelet transform, Wavelet packet decomposition, Harmonic wavelet transform, Function (biology)

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