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A WAVELET-BASED ALGORITHM FOR THE HILBERT TRANSFORM

✍ Scribed by Huang Dishan

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 414 KB
Volume: 10
Category: Article
ISSN: 0888-3270
DOI: 10.1006/mssp.1996.0009

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✦ Synopsis

In this paper, a Hilbert transform algorithm is developed based on an analysing wavelet. It has a nice feature that one level of combination wavelet forms an orthogonal filter. As a result, a perfect orthogonality and constant passband are obtained. Meanwhile it solves the problem of selectivity for a passband width by construction of the combination wavelet. Some properties of the proposed algorithm are illustrated in detail by examples. The proposed algorithm has also been used as a tool for signal analysis, especially in extracting orthogonality modulated signals from a mechanical dynamic system.

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