5/6/2018 [1] PE Prof. Mor M. Peretz Analog Electronic Circuits - PDF document

5/6/2018 [1] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU Analog Electronic Circuits Prof. Mor M. Peretz The Center for Power Electronics and Mixed-Signal IC Department of Electrical and Computer Engineering Ben-Gurion University of the Negev, ISRAEL Emails: morp@bgu.ac.il Website: http://www.ee.bgu.ac.il/~pemic http://www.ee.bgu.ac.il/~analog [2] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Lesson #6 Outline • Active filters – Types of filters – Simple filters, first-order • Second-order filters – KRC filters – Circuit solving approach • Multi-feedback • Impedance emulation – Multiple amps • Switched-capacitor circuits [3] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Types of filters 𝑂 𝑡 𝐼 𝑡 = 𝑡 2 𝑡 𝜕 02 + 𝑅𝜕 0 + 1 1

5/6/2018 [4] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU Second-order response [5] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY 𝑌𝑡 + 1 Simple first-order filters 𝐼 𝑡 = 𝐼 0 𝑌𝑡 + 1 C R 2 C R 1 V in - R 2 V OUT R 1 + V in - V OUT + 𝐼 𝑡 = − 𝑆 2 𝑆 1 𝐷𝑡 𝑆 1 𝑆 1 𝐷𝑡 + 1 𝐼 𝑡 = − 𝑆 2 1 𝑆 2 1 𝐼 0 = − 𝑆 1 ; 𝜕 0 = 𝑆 1 𝑆 2 𝐷𝑡 + 1 𝑆 1 𝐷𝑡 𝑆 2 1 𝐼 0 = − 𝑆 1 ; 𝜕 0 = 𝑆 2 𝐷𝑡 LPF + gain HPF + gain [6] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY 𝑌𝑡 + 1 Simple first-order filters 𝐼 𝑡 = 𝐼 0 R 2 =R 1 𝑌𝑡 + 1 R 1 - V OUT R + V in C 𝐼 𝑡 = −𝑆𝐷𝑡 + 1 𝑆𝐷𝑡 + 1 Phase shifter 2

5/6/2018 [7] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU Second-order filters Effect of the numerator on the response 1 𝑡 2 𝐼 𝑀𝑄 𝑡 = 𝜕 02 + 1 𝑡 2 𝑡 𝜕 02 + 𝑅𝜕 0 + 1 𝐼 𝐶𝑆 𝑡 = 𝑡 2 𝑡 𝜕 02 + 𝑅𝜕 0 + 1 𝑡 2 𝜕 02 𝐼 𝐼𝑄 𝑡 = 𝑡 2 𝑡 𝜕 02 + 𝑅𝜕 0 + 1 𝑡 2 𝑡 𝜕 02 − 𝑅𝜕 0 + 1 𝐼 𝐵𝑄 𝑡 = 𝑡 2 𝑡 𝑡 𝜕 02 + 𝑅𝜕 0 + 1 𝑅𝜕 0 𝐼 𝐶𝑄 𝑡 = 𝑡 2 𝑡 𝜕 02 + 𝑅𝜕 0 + 1 [8] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Block diagram for LPF -1 V in V out - ω 0 /s - ω 0 /s + + 1/Q [9] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Butterworth filter S. Butterworth, 1930 3

5/6/2018 [10] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU KRC filters C 1 R 1 R 2 K R 1 R 2 V in + + C 1 C 2 V OUT V 1 A V in V OUT - C 2 - R B 𝐿 = 1 + 𝑆 𝐶 R A 𝑆 𝐵 1 𝑊 𝑝𝑣𝑢 = 𝑊 1 𝑆 2 𝐷𝑡 + 1 𝐿 𝐼 𝑡 = 1 𝐼 0𝑀𝑄 = 𝐿 ; 𝜕 0 = 𝑆 1 𝐷 1 𝑆 2 𝑆 2 𝑡 2 + 1 − 𝐿 𝑆 1 𝐷 1 + 𝑆 1 𝐷 2 + 𝑆 2 𝐷 2 𝑡 + 1 𝑆 1 𝐷 1 𝑆 2 𝑆 2 [11] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Circuit solving approach Z 5 Z 1 Z 3 + V 1 A V in V OUT Z 4 - Z 2 R B R A [12] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Multiple feedback filters Z 5 Z 4 Z 1 Z 3 + V 1 A V in V OUT - Z 2 4

5/6/2018 [13] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU Impedance emulation Bootstrap circuit to emulate inductance + A V in V OUT - R 1 C R 2 [14] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY General impedance emulation (Grounded) V in Z 1 + A 2 - V 2 Z 2 Z 3 - V 1 A 1 + Z 4 Z 5 [15] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY Switched-capacitor circuits 𝐽 𝑏𝑤𝑕 = 𝑔 𝑑𝑚𝑙 ∆𝑅 𝐽 𝑏𝑤𝑕 = 𝐷𝑔 𝑑𝑚𝑙 𝑊 1 − 𝑊 + + 2 V 1 V 2 C 𝑊 1 −𝑊 1 𝑆 𝑓𝑟 = 2 𝐽 𝑏𝑤𝑕 = 𝐷𝑔 𝑑𝑚𝑙 + + + + R eq V 1 V 1 V 2 V 2 C 5

5/6/2018 [16] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU Switched-capacitor circuits R - V OUT + C V in [17] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY [18] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I BGU C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY 6

5/6/2018 [19] PE Prof. Mor M. Peretz Analog Electronic Circuits 361-1-3671 M I C T HE C ENTER FOR P OWER E LECTRONICS AND M IXED -S IGNAL IC, B EN -G URION U NIVERSITY BGU 7