Recursive Orthonormal Wavelet Bases with Vanishing Moments
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概要
- 論文の詳細を見る
This paper presents a new method for constructing orthonormal wavelet bases with vanishing moments based on general IIR filters. It is well-known that orthonormal wavelet bases can be generated by paraunitary filter banks. Then, synthesis of orthonormal wavelet bases can be reduced to design of paraunitary filter banks. From the orthonormality and regularity of wavelets, we derive some constraints to IIR filter banks, and investigate relations between the constrained filter coefficients and its zeros and poles. According to these relations, we can apply Remez exchange algorithm in stopband directly, and formulate the design problem in the form of an eigenvalue problem. Therefore, a set of filter coefficients can be easily computed by solving the eigenvalue problem, and the optimal filter coefficients with an equiripple response can be obtained after applying an iteration procedure. The proposed procedure is computationally efficient, and the number of vanishing moments can be arbitrarily specified.
- 社団法人電子情報通信学会の論文
- 1997-08-25
著者
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Yoshikawa Toshinori
Department Of Electrical Engineering Nagaoka University Of Technology
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Zhang Xi
Department Of Electrical Engineering Nagaoka University Of Technology
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Zhang Xi
Department Of Communications And Systems University Of Electro-communications
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IWAKURA Hiroshi
Department of Communications and Systems, University of Electro-Communications
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Zhang Xi
Department Of Chemistry Division Of Material Sciences Graduate School Of Natural Science And Technol
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Iwakura Hiroshi
Department Of Communications And Systems University Of Electro-communications
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