2016年5月
A New Class of Hilbert Pairs of Almost Symmetric Orthogonal Wavelet Bases
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
- ,
- 巻
- E99A
- 号
- 5
- 開始ページ
- 884
- 終了ページ
- 891
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1587/transfun.E99.A.884
- 出版者・発行元
- IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
This paper proposes a new class of Hilbert pairs of almost symmetric orthogonal wavelet bases. For two wavelet bases to form a Hilbert pair, the corresponding scaling lowpass filters are required to satisfy the half-sample delay condition. In this paper, we design simultaneously two scaling lowpass filters with the arbitrarily specified flat group delay responses at omega = 0, which satisfy the half-sample delay condition. In addition to specifying the number of vanishing moments, we apply the Remez exchange algorithm to minimize the difference of frequency responses between two scaling lowpass filters, in order to improve the analyticity of complex wavelets. The equiripple behavior of the error function can be obtained through a few iterations. Therefore, the resulting complex wavelets are orthogonal and almost symmetric, and have the improved analyticity. Finally, some examples are presented to demonstrate the effectiveness of the proposed design method.
- リンク情報
- ID情報
-
- DOI : 10.1587/transfun.E99.A.884
- ISSN : 1745-1337
- Web of Science ID : WOS:000376163000001