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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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Journal of Signal and Information Processing·Volume 02 (2011)·Pages 218–226·Published 31 August 2011·DOI10.4236/jsip.2011.23030
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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.
KeywordsAnalytic Discrete Cosine Harmonic Wavelet TransformAnalytic Wavelet TransformDual Tree Complex Wavelet TransformDCTShift Invariant Wavelet TransformWavelet Transform Denoising
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