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A Dual Tree Complex Discrete Cosine Harmonic Wavelet Transform (ADCHWT) and Its Application to Signal/Image Denoising

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Author(s): M. Shivamurti | S. V. Narasimhan

Journal: Journal of Signal and Information Processing
ISSN 2159-4465

Volume: 02;
Issue: 03;
Start page: 218;
Date: 2011;
Original page

Keywords: Analytic Discrete Cosine Harmonic Wavelet Transform | Analytic Wavelet Transform | Dual Tree Complex Wavelet Transform | DCT | Shift Invariant Wavelet Transform | Wavelet Transform Denoising

ABSTRACT
A new simple and efficient dual tree analytic wavelet transform based on Discrete Cosine Harmonic Wavelet Transform DCHWT (ADCHWT) has been proposed and is applied for signal and image denoising. The analytic DCHWT has been realized by applying DCHWT to the original signal and its Hilbert transform. The shift invariance and the envelope extraction properties of the ADCHWT have been found to be very effective in denoising speech and image signals, compared to that of DCHWT.
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