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Title Analysis of an active low-pass filter using an operational amplifier: выпускная квалификационная работа магистра: направление 11.04.02 «Инфокоммуникационные технологии и системы связи» ; образовательная программа 11.04.02_07 «Лазерные и оптоволоконные системы (международная образовательная программа) / Laser and Fiber Optic System (International Educational Program)»
Creators Сюй Чэнцин
Scientific adviser Константинова Анна Алексеевна
Organization Санкт-Петербургский политехнический университет Петра Великого. Институт электроники и телекоммуникаций
Imprint Санкт-Петербург, 2026
Collection Выпускные квалификационные работы ; Общая коллекция
Subjects Active Filter ; Butterworth ; Sallen-Key Topology ; Operational Amplifier ; Frequency Characteristic
Document type Master graduation qualification work
Language Russian
Level of education Master
Speciality code (FGOS) 11.04.02
Speciality group (FGOS) 110000 - Электроника, радиотехника и системы связи
DOI 10.18720/SPBPU/3/2026/vr/vr26-5926
Rights Доступ по паролю из сети Интернет (чтение, печать, копирование)
Additionally New arrival
Record key ru\spstu\vkr\45337
Record create date 9/8/2026

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The subject of the graduate qualification work is “Analysis of an active low-pass filter using an operational amplifier”. Active filters are core components of modern signal processing chains,playing a crucial role in frequency selection in communication,measurement instruments,and other scenarios. This paper aims to achieve a 10MHz cutoff frequency and a 20MHz stopband attenuation ≥30dB, completing the theoretical derivation,parameter calculation,and simulation verification of a fifth-order Butterworth active low-pass filter. The study first outlines the Butterworth approximation characteristics,Sallen-Key topology principles, and the design logic of high-order filter cascades. Then,it constructs the circuit using a first-order RC section paired with two second-order Sallen-Key unity-gain sections.All resistors are uniformly selected as 1kΩ,and the capacitors for each section are calculated and selected with nominal values: first-order section 15pF,Q=0.618;second-order section C₁=12pF,C₂=18pF,Q=1.618;second-order section C₁=4.7pF,C₂=47pF.Frequency response simulations were performed using the Multisim platform with the high-speed operational amplifier OPA847. Test data show that the filters passband gain is close to 0dB, the attenuation at 10MHz is -3.56dB, and the attenuation at 20MHz is -29.47dB. All core performance indicators meet the design requirements. This design process and parameter scheme can provide a direct reference for the engineering implementation and experimental teaching of high-frequency active filters.

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