Title :
Modular cascade structures for the designs of 1-D and 2-D variable fractional delay filters
Author :
Tseng, Chien-Cheng ; Lee, Su-Ling
Author_Institution :
Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Tech., Kaohsiung, Taiwan
Abstract :
In this paper, modular cascade structures are presented to design one-dimensional (1-D) and two-dimensional (2-D) variable fractional delay (VFD) filters. First, a modular cascade structure for implementing 1-D VFD filter is obtained by using the infinite product expansion of exponential function. This structure is only composed of one basic modular cell. Then, the first order digital differentiator which is designed by the least squares method is applied to realize basic cell in the proposed structure. Next, the proposed method is extended to design 2-D VFD filter. Finally, several numerical examples are demonstrated to show the effectiveness of the proposed VFD filter structures and design methods.
Keywords :
delay filters; least squares approximations; 1D variable fractional delay filter; 2D variable fractional delay filter; VFD filter design method; VFD filter structure; exponential function; first order digital differentiator; infinite product expansion; least squares method; modular cascade structure; modular cell; Approximation methods; Delay; Filtering theory; Finite impulse response filter; Frequency response; Least squares methods;
Conference_Titel :
Communications and Information Technologies (ISCIT), 2012 International Symposium on
Conference_Location :
Gold Coast, QLD
Print_ISBN :
978-1-4673-1156-4
Electronic_ISBN :
978-1-4673-1155-7
DOI :
10.1109/ISCIT.2012.6380937
