title: ÐÐ½Ð¾Ð³Ð¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÐµ Ð¿Ð¾Ð»Ð¾ÑÐ¾Ð²ÑÐµ ÑÐ¸Ð»ÑÑÑÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Multiband bandpass filters
Creators: name: Ð¢Ð¸ÑÐ¾Ð¼Ð¸ÑÐ¾Ð², ÐÐ½Ð´ÑÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð¼Ð½Ð¾Ð³Ð¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÐ¹ ÑÐ¸Ð»ÑÑÑ
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multiband filter
LPF
BPF
frequency response
transfer function
approximation
bandwidth
resonator
filter order

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð¼Ð½Ð¾Ð³Ð¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÐµ ÑÐ¸Ð»ÑÑÑÑ. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÑ ÑÐ¸Ð»ÑÑÑÐ¾Ð². ÐÐ° ÑÐµÐ³Ð¾Ð´Ð½ÑÑÐ½Ð¸Ð¹ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð¼Ð½Ð¾Ð³Ð¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÐµ ÑÐ¸Ð»ÑÑÑÑ Ð¿Ð¾Ð»ÑÑÐ¸Ð»Ð¸ ÑÐ¸ÑÐ¾ÐºÐ¾Ðµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾Ð²Ð¾Ð¹ Ð¸ ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ ÑÐµÑÐ½Ð¸ÐºÐµ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÑ ÑÐ¸Ð»ÑÑÑÐ¾Ð², Ð¸ Ð¸Ð·ÑÑÐµÐ½Ñ Ð¸Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ð¼ÐµÑÐ¾Ð´Ñ Ð¿Ð¾Ð¸ÑÐºÐ° Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¸Ð· ÑÐ»ÐµÐ´ÑÑÑÐ¸Ñ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð² Ð¸ Ð±Ð°Ð· Ð´Ð°Ð½Ð½ÑÑ: Ð¼Ð¾Ð½Ð¾Ð³ÑÐ°ÑÐ¸Ñ Ð. Ð¡. ÐÐ¾ÑÐ¾ÑÐºÐ¾Ð²Ð°, Ð¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¸Ð·Ð´Ð°Ð½Ð¸Ñ IEEE, Analog Devices. ÐÐ»Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð° Ð²ÑÐ±ÑÐ°Ð½Ð° Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð°Ñ ÑÑÐ½ÐºÑÐ¸Ñ 28 Ð¿Ð¾ÑÑÐ´ÐºÐ° Ñ Ð´Ð²ÑÐ¼Ñ Ð¿Ð¾Ð»Ð¾ÑÐ°Ð¼Ð¸ Ð¿ÑÐ¾Ð¿ÑÑÐºÐ°Ð½Ð¸Ñ: Ð¾Ñ 1,162 ÐÐÑ Ð´Ð¾ 1,255 ÐÐÑ Ð¸ Ð¾Ñ 1,556 ÐÐÑ Ð´Ð¾ 1,612 ÐÐÑ. ÐÐ¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ñ Ð¿Ð¾Ð»Ð¾ÑÐ¾Ð²ÑÐµ ÑÐ¸Ð»ÑÑÑÑ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼. ÐÐ¾Ð»ÑÑÐµÐ½Ñ ÑÑÐµÐ¼Ñ Ð´Ð²ÑÑÐ¿Ð¾Ð»Ð¾ÑÐ½ÑÑ ÑÐ¸Ð»ÑÑÑÐ¾Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ ÑÐ¿Ð¾ÑÐ¾Ð±Ð°Ð¼Ð¸. Ð ÑÐ°ÐºÐ¶Ðµ Ð½Ð° Ð¿ÑÐ°ÐºÑÐ¸ÐºÐµ Ð±ÑÐ» Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½ Ð¼ÐµÑÐ¾Ð´ Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾Ð¹ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸. ÐÐ»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐµÐ¿ÐµÐ¹ Ð±ÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ ÑÑÐµÐ´ÑÑÐ²Ð° Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Micro-Cap.
description: Object of study is multiband filters. The aim is investigation of methods for implementing multiband filters. At the moment, multiband filters have been widely used in analog and digital technology. In this paper, the methods of implementing multiband filters are considered, and their main features are studied. Methods of searching and analyzing information from the following sources and databases were used in the work: A. S. Korotkovs monograph, IEEE periodical publications, Analog Devices. A transfer function of the 28th order with two bandwidth bands was selected for the study: from 1,162 GHz to 1,255 GHz and from 1,556 GHz to 1,612 GHz. Based on the results of the work, bandpass filters were calculated using the classical method. Schemes of two-band filters are obtained in various ways. And also in practice the method of direct transfer function was investigated. Micro-Cap automated development tools were used to model electrical circuits.