ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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vol 62 / May, 2019
Article

DOI 10.17586/0021-3454-2015-58-8-653-658

UDC 621.396:681.323

PULSE CHARACTERISTIC OF BUTTERWORTH COMPLEX BANDPASS FILTER

S. I. Ziatdinov
St. Petersburg State University of Aerospace Instrumentation, Department of Information Network Technologies; Professor


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Abstract. General expressions for frequency transfer function of Butterworth complex bandpass filter are derived with the use of the residue theory. The pulse characteristic of a complex filter is shown to be a complex one, phase-shift between the real and imaginary components of the function equals 90. A method is proposed for calculating the real and imaginary components of the pulse characteristic of a complex Butterworth bandpass filter of arbitrary order. Concrete examples are presented. 
Keywords: complex bandpass filter, frequency transfer function, pulse characteristic, poles