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2002•Unpublished venueRequires access

On the initialization of the discrete wavelet transform algorithm

Chongchun Liu, Yaohui Liu, Zhengding Qiu, Xiyu Du

Open publisher page 9 citations

Abstract

The discrete wavelet transform (DWT) is often used to approximate the continuous wavelet transform (CWT) and wavelet series (WS). The accuracy of the initialized value of the discrete wavelet transform determines the result. In this letter, based on the sampling theory of wavelet subspace, the general formula of the initialization of the discrete wavelet transform algorithm is proposed.

About this research paper

What this paper is about

The discrete wavelet transform (DWT) is often used to approximate the continuous wavelet transform (CWT) and wavelet series (WS). The accuracy of the initialized value of the discrete wavelet transform determines the result. In this letter, based on the sampling theory of wavelet subspace, the general formula of the initialization of the discrete wavelet transform algorithm is proposed.

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OpenAlex reports 9 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

The discrete wavelet transform (DWT) is often used to approximate the continuous wavelet transform (CWT) and wavelet series (WS). The accuracy of the initialized value of the discrete wavelet transform determines the result. In this letter, based on the sampling theory of wavelet subspace, the general formula of the initialization of the discrete wavelet transform algorithm is proposed.

Key concepts: Discrete wavelet transform, Stationary wavelet transform, Second-generation wavelet transform, Wavelet packet decomposition, Harmonic wavelet transform, Wavelet transform, Lifting scheme, Wavelet

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