ISSNIP

Techniques for Constructing Complex Analytic Wavelets

Investigators
Staff:

David Tay.

Student: Van Nguyen.
Collaborations

N.G. Kingsbury, University of Cambridge, UK.

Description
Introduction: Wavelet analysis is one of the success stories in mathematics that has found many real world applications and some have been adopted by industry, eg. JPEG2000, digital cinema. Wavelet basis functions are excellent tools for analysing function space (eg. Sobolev) and signals (eg. image).
Significance: Traditional wavelets (eg. Daubechies family) are real valued. This project will develop techniques for constructing new wavelets that are complex valued. Complex wavelets can perform better in signal analysis as they provide angle or phase information not available from real wavelets.
Applications: These novel complex wavelets are applicable in many areas involving numerical data (eg. biomedical, financial) for extracting useful information in decision making.
Challenges:
Publication
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