TY - JOUR
T1 - Hybrid method for designing digital Butterworth filters
AU - Yao, Shu-Nung
AU - Collins, Timothy
AU - Jancovic, Peter
N1 - Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/7
Y1 - 2012/7
N2 - A procedure for designing digital Butterworth filters is proposed. The procedure determines the denominator and the numerator of the filter transfer function based on the positions of the poles in the s-plane and zeros in the z-plane, respectively, and calculates the gain factor using a maximum point normalization method. In contrast to some conventional algorithms, the presented procedure is much simpler by directly obtaining the filter with 3-dB frequencies. This makes the presented algorithm a useful tool for determining the boundaries in electronic or communication systems' frequency responses. Moreover, the proposed algorithm is compatible with high-order transformations which are the limitations of general pole-zero placement techniques. The proposed method is illustrated by the examples of designing the low-pass, high-pass, band-pass, and band-stop filter.
AB - A procedure for designing digital Butterworth filters is proposed. The procedure determines the denominator and the numerator of the filter transfer function based on the positions of the poles in the s-plane and zeros in the z-plane, respectively, and calculates the gain factor using a maximum point normalization method. In contrast to some conventional algorithms, the presented procedure is much simpler by directly obtaining the filter with 3-dB frequencies. This makes the presented algorithm a useful tool for determining the boundaries in electronic or communication systems' frequency responses. Moreover, the proposed algorithm is compatible with high-order transformations which are the limitations of general pole-zero placement techniques. The proposed method is illustrated by the examples of designing the low-pass, high-pass, band-pass, and band-stop filter.
UR - http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-84862209100&md5=9e0a4ce88603c9d9345f7c90c0d01b92
U2 - 10.1016/j.compeleceng.2012.03.015
DO - 10.1016/j.compeleceng.2012.03.015
M3 - Article
AN - SCOPUS:84862209100
SN - 0045-7906
VL - 38
SP - 811
EP - 818
JO - Computers & Electrical Engineering
JF - Computers & Electrical Engineering
IS - 4
ER -