2012年11月
IIR-Based DTCWTs With Improved Analyticity and Frequency Selectivity
IEEE TRANSACTIONS ON SIGNAL PROCESSING
- ,
- 巻
- 60
- 号
- 11
- 開始ページ
- 5764
- 終了ページ
- 5774
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1109/TSP.2012.2212893
- 出版者・発行元
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
In this paper, a new class of DTCWTs with improved analyticity and frequency selectivity is proposed by using general IIR filters with numerator and denominator of different degree. In the common-factor technique proposed by Selesnick, the maximally flat allpass filter was used to satisfy the half-sample delay condition. Thus, to improve the analyticity of complex wavelets, we present a method for designing allpass filters with the specified degree of flatness and equiripple phase response in the approximation band. Furthermore, to improve the frequency selectivity of scaling lowpass filters, we locate the specified number of zeros at z = -1 and minimize the stopband error. The design methods proposed in this paper use the well-known Remez exchange algorithm to approximate the equiripple response. Therefore, a set of filter coefficients can be easily obtained by solving the eigenvalue problem. Finally, we investigate the performance on the proposed DTCWTs through several design examples. It is shown that the conventional DTCWTs proposed by Selesnick are only the special cases of DTCWTs proposed in this paper.
- リンク情報
- ID情報
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- DOI : 10.1109/TSP.2012.2212893
- ISSN : 1053-587X
- eISSN : 1941-0476
- Web of Science ID : WOS:000310139900012