Open AccessNew fast algorithm for optimal design of block digital filters by skew‐cyclic convolution
Author(s) -
Fu Deqian,
Jiang Zhaolin,
Cui Yifeng,
Jhang Seong Tae
Publication year - 2014
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2013.0384
Subject(s) - skew , convolution (computer science) , block (permutation group theory) , algorithm , computer science , circular convolution , digital filter , mathematics , overlap–add method , arithmetic , filter (signal processing) , artificial intelligence , telecommunications , combinatorics , computer vision , fourier transform , fourier analysis , mathematical analysis , artificial neural network , fractional fourier transform
In this study, a new fast algorithm for optimal design of block digital filters is proposed based on the skew circulant matrix, the Toeplitz and the skew shift cyclic matrices. The developed skew‐cyclic filter, compared with the cyclic filter, not only achieves the same computational complexity of the design process and the memory requirements, but is more efficient with only approximately half of the computational cost for the real signals.