NDLI: A Design of Dual-Tree Complex Wavelet Transform Based on Least Squares Method

Content Provider	IEEE Xplore Digital Library
Author	Shimizu, T. Kyochi, S. Ikehara, M.
Copyright Year	2009
Description	Author affiliation: Department of Electrical and Electronics Engineering, Keio University, 3-14-1 Hiyoshi Kohoku-ku, 223-8522, Yokohama, Japan,phone: +81-45-566-1530, email: shimizu@tkhm.elec.keio.ac.jp (Shimizu, T.) \|\| Department of Electrical and Electronics Engineering, Keio University, 3-14-1 Hiyoshi Kohoku-ku, 223-8522, Yokohama, Japan (Kyochi, S.; Ikehara, M.)
Abstract	In this paper, a novel design of dual-tree complex wavelet transform based on least squares method is proposed. An effective design method based on allpass filter with FIR has proposed by Selesnick. However, this method holds two problems. First, optimal frequency characteristic cannot be realized due to the restriction of design parameters. Second, approximation of the half sample delay condition is restricted on low frequency. The proposed method can achieve the high design degrees of freedom by using least squares method. It is shown that the method can design more effective dual-tree complex wavelet transform than conventional one, in terms of sharpness of frequency characteristic and accuracy of half sample delay condition, directionality and shift-invariance, by simulations. In the end of this paper, the performance of DTCWT designed by the proposed method for practical application, image denoising, is demonstrated. The proposed method outperforms the conventional method.
Starting Page	576
Ending Page	581
File Size	512682
Page Count	6
File Format	PDF
ISBN	9781424436774
DOI	10.1109/DSP.2009.4785989
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-01-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet transforms Least squares methods Finite impulse response filter Delay Least squares approximation Discrete wavelet transforms Design methodology Frequency IIR filters Image denoising least squares method Dual-tree complex wavelet transform half sample delay condition directionality shift invariance
Content Type	Text
Resource Type	Article

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