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\iteman{io-port 06096156}
\itemau{Yao, S.N.; Collins, T.; Jan\v{c}ovi\v{c}, P.}
\itemti{Hybrid method for designing digital Butterworth filters.}
\itemso{Comput. Electr. Eng. 38, No. 4, 811-818 (2012).}
\itemab
Summary: 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.
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\itemli{doi:10.1016/j.compeleceng.2012.03.015}
\end