Analog Circuits and Systems

Size: px
Start display at page:

Download "Analog Circuits and Systems"

Transcription

1 Analog Circuits and Systems Prof. K Radhakrishna Rao Lecture 27: State Space Filters 1

2 Review Q enhancement of passive RC using negative and positive feedback Effect of finite GB of the active device on filter parameters LP Passive RC second order ω = ω + K p Qa Qp K where ω p is the passive filter normalizing frequency where is the passive filter Q; Q p K is the gain of the inverting amplifier used in the negative feedback loop 2

3 Review (contd.,) HP passive RC second order ω ω p,q = Q 1 + K 0 a p 1 + K LP + HP (notch) passive ω ω = + ( ),Q Q 1 KQ 0 p a p p BP passive filter (RC) passive feedback Q ω ω,q = p 0 p a 1 KQ p 3

4 Review (contd.,) Positive feedback because of high sensitivity to K used for only low Q a Negative feedback because of low sensitivity to K but sensitivity to GB in case of 3 and 4 Independent Q adjustment and w 0 adjustment not possible Q = ( GB) 1 Q ( total phase lag error in the loop) a Q a fq 0 a product is the criteria for low sensitivity to GB of Q a Q a ( φ) V = 1 4

5 State Variable Filters Are also known as Biquad filters (use two integrators) KHN filters (Kervin, Heulessman and Newcomb of Burr-Brown) Universal Active filters (UAF) 5

6 Active filter design as solution of differential equation n th order linear differential equation n th order filter design n n 1 n 1 o n 1 L 0 o i i dv d V o + L K + K V = KV dt n dt n n 1 n 1 o n 1 L 0 o i i dv d V o = K + K V KV dt n dt th ( 1) from n state variable derive n- state variables using integrators Then sumup these with input. Connect the summer output to input results in the solution of nth order differential equation. 6

7 First-Order Filter Is represented by a first order differential equation dv dt o + KV = 0 o KV i i rewritten as dv dt o = -KV + 0 KV o i i 7

8 Simulation of LP and HP filters using ideal integrators 8

9 First-order filter using Op Amps 9

10 Second-order filter can be represented by a second order differential equation 2 dv dt o 2 dv + K o + K V = KV 1 dt 0 o i i rewritten as 2 dv dt o 2 ω dv = - 0 o - ω 2 V + H ω 2 V Q dt 0 o 0 0 i 10

11 Simulation of LP, HP and BP filters using ideal integrators; f 0 =1.59kHz, Q=5 11

12 Phase Plot using ideal integrators; f 0 =1.59kHz, Q=5 12

13 Transient Plot using ideal integrators; f 0 =1.59kHz, Q=5 13

14 Second-order filter using Op Amps 14

15 Simulation Second-order filter with Op Amps (where effect of GB is minimal and f 0 is 1.59 khz; Q=5) 15

16 Simulation Phase Plot (where effect of GB is minimal and f 0 is 1.59 khz; Q=5 changed from 1, 5 and 9) 16

17 Simulation Transient (where effect of GB is minimal and f 0 is 1.59 khz; Q=5) 17

18 Outputs of UAF for a square-wave input at f 0 18

19 Simulation of Second-order filter with Op Amps (where effect of GB is significant and f 0 is 15.9 khz; Q=5) The effect of finite GB is on the peak and notch 19

20 Simulation Transient (where effect of GB is significant and f 0 is 15.9 khz; Q=5) 20

21 Third-order filter 3 2 o o o dv dv dv + K + K + K V = KV dt o i i dt dt rewritten as 3 2 o o o dv dv dv = -K - K - K V + K V dt o i i dt dt 21

22 Third-order filter using Ideal Integrators and s s s s s s ω ω ω ω ω ω s ω 3 22

23 Third-order filter using Ideal Integrators 23

24 Third-order Butterworth using LF353 or TL082 (where the effect of GB is minimal and f 0 is 1.59 khz ) 24

25 Third-order Butterworth using LF353 or TL082 (where the effect of GB is significant and f 0 is 15.9 khz) 25

26 Butterworth Low-Pass Filter Synthesis as third-order filter (Using LM741) 26

27 Butterworth Low-Pass Filter Synthesis as second-order filter followed by first-order filter (Using LM 741) 27

28 Observations Higher even-order filters can be realized by cascading second order filters functions. Higher odd-order filters is can be realized cascading one first-order filter with required number of second order filters. Direct realization of higher order (> 3) using any of the Op Amps will lead to inferior performance due to cumulative phase error in the feedback loop 28

29 Outputs at different points in a second-order filter Output can be taken at several points in the circuit: V, V, V and V o1 o2 o3 o4 Input, output relationships ( H ω 2) s ( 2 2) ( ) Vo1 = V s ω + s ω Q + 1 i High Pass Filter 29

30 Simulation Gain at ω? ω is H and at ω=ω is H Q; Q=5; H = 1; f = 1.59kHz

31 Outputs at different points in a second-order filter ( H ω ) V s o2 = 0 0 V s ω + s ω Q + 1 ( 2 2) ( ) i Band Pass Filter Gain at ω=ω 0 is H Q 0 31

32 Simulation Q=5; H0 0 = 1; f = 1.59kHz The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again. 32

33 Outputs at different points in a second-order filter V H o3 = 0 V s ω + s ω Q + 1 ( 2 2) ( ) i Low Pass Filter Gain at ω= ω is H and at ω=ω is H Q

34 Simulation Q=5; H0 0 = 1; f = 1.59kHz 34

35 Outputs at different points in a second-order filter ( 2 2) H V 1+ s ω o4 0 0 = V s ω + s ω Q + 1 ( 2 2) ( ) i Band Stop Filter Gain at ω= ω and ω? ω is H, and at ω=ω is zero

36 Simulation Q=5; H0 0 = 1; f = 1.59kHz 36

37 Adding V o1, V o2 and V o3 It is possible to realize any second order filter function α + α + α o1 2 o2 3 o3 = V V V as bs c where a 1, a 2 and a 3 can be negative, positive or zero and a, b and c can be positive or negative and of zero or any non-zero value ( 2 2) ( ) V s ω + s ω Q + 1 i

38 All pass filter design α + α + α o1 2 o2 3 o3 = V V V as bs c ( 2 2) ( ) V s ω + s ω Q + 1 i 0 0 = ( 2 2) ( 0 0 ) ( 2 2) ( 0 0 ) s ω s ω Q + 1 H s ω + s ω Q ω φ= 2tan ω Q ω ω

39 Simulation - All pass filter design H 0 =1;Q=1;f 0 =1.59kHz; a 1 = a 2 = a 3 =1 39

40 Conclusion 40

Analog Circuits and Systems

Analog Circuits and Systems Analog Circuits and Systems Prof. K Radhakrishna Rao Lecture 4: Dynamic Behavior of Feedback Systems Current Follower using MOSFET G Common-gate amplifier = g andg = 0 m g g Loop gain = =? g ds G G m and

More information

OPERATIONAL AMPLIFIER APPLICATIONS

OPERATIONAL AMPLIFIER APPLICATIONS OPERATIONAL AMPLIFIER APPLICATIONS 2.1 The Ideal Op Amp (Chapter 2.1) Amplifier Applications 2.2 The Inverting Configuration (Chapter 2.2) 2.3 The Non-inverting Configuration (Chapter 2.3) 2.4 Difference

More information

Unit 8: Part 2: PD, PID, and Feedback Compensation

Unit 8: Part 2: PD, PID, and Feedback Compensation Ideal Derivative Compensation (PD) Lead Compensation PID Controller Design Feedback Compensation Physical Realization of Compensation Unit 8: Part 2: PD, PID, and Feedback Compensation Engineering 5821:

More information

Prof. D. Manstretta LEZIONI DI FILTRI ANALOGICI. Danilo Manstretta AA

Prof. D. Manstretta LEZIONI DI FILTRI ANALOGICI. Danilo Manstretta AA AA-3 LEZIONI DI FILTI ANALOGICI Danilo Manstretta AA -3 AA-3 High Order OA-C Filters H() s a s... a s a s a n s b s b s b s b n n n n... The goal of this lecture is to learn how to design high order OA-C

More information

Active Filters an Introduction

Active Filters an Introduction Active Filter an Introduction + Vin() - Filter circuit G() + Vout() - Active Filter. Continuou-time or Sampled-data. Employ active element (e.g. tranitor, amplifier, op-amp) a. inductor-le (continuou-time)

More information

DESIGN MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT. Dr. Eman Azab Assistant Professor Office: C

DESIGN MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT. Dr. Eman Azab Assistant Professor Office: C MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT DESIGN Dr. Eman Azab Assistant Professor Office: C3.315 E-mail: eman.azab@guc.edu.eg 1 TWO STAGE CMOS OP-AMP It consists of two stages: First

More information

Start with the transfer function for a second-order high-pass. s 2. ω o. Q P s + ω2 o. = G o V i

Start with the transfer function for a second-order high-pass. s 2. ω o. Q P s + ω2 o. = G o V i 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

More information

EE 508 Lecture 24. Sensitivity Functions - Predistortion and Calibration

EE 508 Lecture 24. Sensitivity Functions - Predistortion and Calibration EE 508 Lecture 24 Sensitivity Functions - Predistortion and Calibration Review from last time Sensitivity Comparisons Consider 5 second-order lowpass filters (all can realize same T(s) within a gain factor)

More information

The general form for the transform function of a second order filter is that of a biquadratic (or biquad to the cool kids).

The general form for the transform function of a second order filter is that of a biquadratic (or biquad to the cool kids). nd-order filters The general form for the transform function of a second order filter is that of a biquadratic (or biquad to the cool kids). T (s) A p s a s a 0 s b s b 0 As before, the poles of the transfer

More information

8. Active Filters - 2. Electronic Circuits. Prof. Dr. Qiuting Huang Integrated Systems Laboratory

8. Active Filters - 2. Electronic Circuits. Prof. Dr. Qiuting Huang Integrated Systems Laboratory 8. Active Filters - 2 Electronic Circuits Prof. Dr. Qiuting Huang Integrated Systems Laboratory Blast From The Past: Algebra of Polynomials * PP xx is a polynomial of the variable xx: PP xx = aa 0 + aa

More information

Op-Amp Circuits: Part 3

Op-Amp Circuits: Part 3 Op-Amp Circuits: Part 3 M. B. Patil mbpatil@ee.iitb.ac.in www.ee.iitb.ac.in/~sequel Department of Electrical Engineering Indian Institute of Technology Bombay Introduction to filters Consider v(t) = v

More information

EE 508 Lecture 4. Filter Concepts/Terminology Basic Properties of Electrical Circuits

EE 508 Lecture 4. Filter Concepts/Terminology Basic Properties of Electrical Circuits EE 58 Lecture 4 Filter Concepts/Terminology Basic Properties of Electrical Circuits Review from Last Time Filter Design Process Establish Specifications - possibly T D (s) or H D (z) - magnitude and phase

More information

E40M. Op Amps. M. Horowitz, J. Plummer, R. Howe 1

E40M. Op Amps. M. Horowitz, J. Plummer, R. Howe 1 E40M Op Amps M. Horowitz, J. Plummer, R. Howe 1 Reading A&L: Chapter 15, pp. 863-866. Reader, Chapter 8 Noninverting Amp http://www.electronics-tutorials.ws/opamp/opamp_3.html Inverting Amp http://www.electronics-tutorials.ws/opamp/opamp_2.html

More information

Texas A&M University Department of Electrical and Computer Engineering

Texas A&M University Department of Electrical and Computer Engineering Texas A&M University Department of Electrical and Computer Engineering ECEN 622: Active Network Synthesis Homework #2, Fall 206 Carlos Pech Catzim 72300256 Page of .i) Obtain the transfer function of circuit

More information

Deliyannis, Theodore L. et al "Two Integrator Loop OTA-C Filters" Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999

Deliyannis, Theodore L. et al Two Integrator Loop OTA-C Filters Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999 Deliyannis, Theodore L. et al "Two Integrator Loop OTA-C Filters" Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999 Chapter 9 Two Integrator Loop OTA-C Filters 9.1 Introduction As discussed

More information

Active Filters an Introduction

Active Filters an Introduction Active Filter an Introduction + Vin() - Filter circuit G() + Vout() - Active Filter. Continuou-time or Sampled-data. Employ active element (e.g. tranitor, amplifier, op-amp) a. inductor-le (continuou-time)

More information

Biquad Filter. by Kenneth A. Kuhn March 8, 2013

Biquad Filter. by Kenneth A. Kuhn March 8, 2013 by Kenneth A. Kuhn March 8, 201 The biquad filter implements both a numerator and denominator quadratic function in s thus its name. All filter outputs have identical second order denominator in s and

More information

WHITE PAPER: SLOA011 Author: Jim Karki Digital Signal Processing Solutions April 1998

WHITE PAPER: SLOA011 Author: Jim Karki Digital Signal Processing Solutions April 1998 OPerational AMPlifier lifiers Source: Understanding Operational Amplifier Specifications Source: Understanding Operational Amplifier Specifications WHITE PAPE: SLOA0 Author: Jim Karki Digital Signal Processing

More information

ECE3050 Assignment 7

ECE3050 Assignment 7 ECE3050 Assignment 7. Sketch and label the Bode magnitude and phase plots for the transfer functions given. Use loglog scales for the magnitude plots and linear-log scales for the phase plots. On the magnitude

More information

EE 508 Lecture 29. Integrator Design. Metrics for comparing integrators Current-Mode Integrators

EE 508 Lecture 29. Integrator Design. Metrics for comparing integrators Current-Mode Integrators EE 508 Lecture 29 Integrator Design Metrics for comparing integrators urrent-mode Integrators eview from last time nti-aliasing filter often required to limit frequency content at input to S filters ontinuous-time

More information

Input and Output Impedances with Feedback

Input and Output Impedances with Feedback EE 3 Lecture Basic Feedback Configurations Generalized Feedback Schemes Integrators Differentiators First-order active filters Second-order active filters Review from Last Time Input and Output Impedances

More information

Today. 1/25/11 Physics 262 Lecture 2 Filters. Active Components and Filters. Homework. Lab 2 this week

Today. 1/25/11 Physics 262 Lecture 2 Filters. Active Components and Filters. Homework. Lab 2 this week /5/ Physics 6 Lecture Filters Today Basics: Analog versus Digital; Passive versus Active Basic concepts and types of filters Passband, Stopband, Cut-off, Slope, Knee, Decibels, and Bode plots Active Components

More information

Master Degree in Electronic Engineering. Analog and Telecommunication Electronics course Prof. Del Corso Dante A.Y Switched Capacitor

Master Degree in Electronic Engineering. Analog and Telecommunication Electronics course Prof. Del Corso Dante A.Y Switched Capacitor Master Degree in Electronic Engineering TOP-UIC Torino-Chicago Double Degree Project Analog and Telecommunication Electronics course Prof. Del Corso Dante A.Y. 2013-2014 Switched Capacitor Working Principles

More information

Lecture 5: Using electronics to make measurements

Lecture 5: Using electronics to make measurements Lecture 5: Using electronics to make measurements As physicists, we re not really interested in electronics for its own sake We want to use it to measure something often, something too small to be directly

More information

EE482: Digital Signal Processing Applications

EE482: Digital Signal Processing Applications Professor Brendan Morris, SEB 3216, brendan.morris@unlv.edu EE482: Digital Signal Processing Applications Spring 2014 TTh 14:30-15:45 CBC C222 Lecture 05 IIR Design 14/03/04 http://www.ee.unlv.edu/~b1morris/ee482/

More information

Analogue Filters Design and Simulation by Carsten Kristiansen Napier University. November 2004

Analogue Filters Design and Simulation by Carsten Kristiansen Napier University. November 2004 Analogue Filters Design and Simulation by Carsten Kristiansen Napier University November 2004 Title page Author: Carsten Kristiansen. Napier No: 04007712. Assignment title: Analogue Filters Design and

More information

EE-202 Exam III April 13, 2015

EE-202 Exam III April 13, 2015 EE-202 Exam III April 3, 205 Name: (Please print clearly.) Student ID: CIRCLE YOUR DIVISION DeCarlo-7:30-8:30 Furgason 3:30-4:30 DeCarlo-:30-2:30 202 2022 2023 INSTRUCTIONS There are 2 multiple choice

More information

Low-Sensitivity, Highpass Filter Design with Parasitic Compensation

Low-Sensitivity, Highpass Filter Design with Parasitic Compensation Low-Sensitivity, Highpass Filter Design with Parasitic Compensation Introduction This Application Note covers the design of a Sallen-Key highpass biquad. This design gives low component and op amp sensitivities.

More information

EEE 184 Project: Option 1

EEE 184 Project: Option 1 EEE 184 Project: Option 1 Date: November 16th 2012 Due: December 3rd 2012 Work Alone, show your work, and comment your results. Comments, clarity, and organization are important. Same wrong result or same

More information

Source-Free RC Circuit

Source-Free RC Circuit First Order Circuits Source-Free RC Circuit Initial charge on capacitor q = Cv(0) so that voltage at time 0 is v(0). What is v(t)? Prof Carruthers (ECE @ BU) EK307 Notes Summer 2018 150 / 264 First Order

More information

Lecture 5: Using electronics to make measurements

Lecture 5: Using electronics to make measurements Lecture 5: Using electronics to make measurements As physicists, we re not really interested in electronics for its own sake We want to use it to measure something often, something too small to be directly

More information

EE 508 Lecture 22. Sensitivity Functions - Comparison of Circuits - Predistortion and Calibration

EE 508 Lecture 22. Sensitivity Functions - Comparison of Circuits - Predistortion and Calibration EE 58 Lecture Sensitivity Functions - Comparison of Circuits - Predistortion and Calibration Review from last time Sensitivity Comparisons Consider 5 second-order lowpass filters (all can realize same

More information

Operational amplifiers (Op amps)

Operational amplifiers (Op amps) Operational amplifiers (Op amps) v R o R i v i Av i v View it as an ideal amp. Take the properties to the extreme: R i, R o 0, A.?!?!?!?! v v i Av i v A Consequences: No voltage dividers at input or output.

More information

Operational Amplifier (Op-Amp) Operational Amplifiers. OP-Amp: Components. Internal Design of LM741

Operational Amplifier (Op-Amp) Operational Amplifiers. OP-Amp: Components. Internal Design of LM741 (Op-Amp) s Prof. Dr. M. Zahurul Haq zahurul@me.buet.ac.bd http://teacher.buet.ac.bd/zahurul/ Department of Mechanical Engineering Bangladesh University of Engineering & Technology ME 475: Mechatronics

More information

ECEN 325 Electronics

ECEN 325 Electronics ECEN 325 Electronics Operational Amplifiers Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering Opamp Terminals positive supply inverting input terminal non

More information

Sophomore Physics Laboratory (PH005/105)

Sophomore Physics Laboratory (PH005/105) CALIFORNIA INSTITUTE OF TECHNOLOGY PHYSICS MATHEMATICS AND ASTRONOMY DIVISION Sophomore Physics Laboratory (PH5/15) Analog Electronics Active Filters Copyright c Virgínio de Oliveira Sannibale, 23 (Revision

More information

Exercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 )

Exercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 ) Exercise 7 Ex: 7. A 0 log T [db] T 0.99 0.9 0.8 0.7 0.5 0. 0 A 0 0. 3 6 0 Ex: 7. A max 0 log.05 0 log 0.95 0.9 db [ ] A min 0 log 40 db 0.0 Ex: 7.3 s + js j Ts k s + 3 + j s + 3 j s + 4 k s + s + 4 + 3

More information

EE-202 Exam III April 10, 2008

EE-202 Exam III April 10, 2008 EE-202 Exam III April 10, 2008 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 8:30 MWF Afternoon 12:30 MWF INSTRUCTIONS There are 13 multiple choice worth 5 points each and there

More information

Electronic Circuits Summary

Electronic Circuits Summary Electronic Circuits Summary Andreas Biri, D-ITET 6.06.4 Constants (@300K) ε 0 = 8.854 0 F m m 0 = 9. 0 3 kg k =.38 0 3 J K = 8.67 0 5 ev/k kt q = 0.059 V, q kt = 38.6, kt = 5.9 mev V Small Signal Equivalent

More information

The equivalent model of a certain op amp is shown in the figure given below, where R 1 = 2.8 MΩ, R 2 = 39 Ω, and A =

The equivalent model of a certain op amp is shown in the figure given below, where R 1 = 2.8 MΩ, R 2 = 39 Ω, and A = The equivalent model of a certain op amp is shown in the figure given below, where R 1 = 2.8 MΩ, R 2 = 39 Ω, and A = 10 10 4. Section Break Difficulty: Easy Learning Objective: Understand how real operational

More information

Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION INSTRUCTIONS

Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION INSTRUCTIONS EE 202 Exam III April 13 2011 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 7:30 MWF Furgason INSTRUCTIONS Afternoon 3:30 MWF DeCarlo There are 10 multiple choice worth 5 points

More information

Section 4. Nonlinear Circuits

Section 4. Nonlinear Circuits Section 4 Nonlinear Circuits 1 ) Voltage Comparators V P < V N : V o = V ol V P > V N : V o = V oh One bit A/D converter, Practical gain : 10 3 10 6 V OH and V OL should be far apart enough Response Time:

More information

Lecture 50 Changing Closed Loop Dynamic Response with Feedback and Compensation

Lecture 50 Changing Closed Loop Dynamic Response with Feedback and Compensation Lecture 50 Changing Closed Loop Dynamic Response with Feedback and Compensation 1 A. Closed Loop Transient Response Waveforms 1. Standard Quadratic T(s) Step Response a. Q > 1/2 Oscillatory decay to a

More information

Second-order filters. EE 230 second-order filters 1

Second-order filters. EE 230 second-order filters 1 Second-order filters Second order filters: Have second order polynomials in the denominator of the transfer function, and can have zeroth-, first-, or second-order polynomials in the numerator. Use two

More information

Bandwidth of op amps. R 1 R 2 1 k! 250 k!

Bandwidth of op amps. R 1 R 2 1 k! 250 k! Bandwidth of op amps An experiment - connect a simple non-inverting op amp and measure the frequency response. From the ideal op amp model, we expect the amp to work at any frequency. Is that what happens?

More information

EE-202 Exam III April 6, 2017

EE-202 Exam III April 6, 2017 EE-202 Exam III April 6, 207 Name: (Please print clearly.) Student ID: CIRCLE YOUR DIVISION DeCarlo--202 DeCarlo--2022 7:30 MWF :30 T-TH INSTRUCTIONS There are 3 multiple choice worth 5 points each and

More information

Active Filter Design by Carsten Kristiansen Napier University. November 2004

Active Filter Design by Carsten Kristiansen Napier University. November 2004 by Carsten Kristiansen November 2004 Title page Author: Carsten Kristiansen. Napier No: 0400772. Assignment partner: Benjamin Grydehoej. Assignment title:. Education: Electronic and Computer Engineering.

More information

Analog Circuits Prof. Jayanta Mukherjee Department of Electrical Engineering Indian Institute of Technology - Bombay

Analog Circuits Prof. Jayanta Mukherjee Department of Electrical Engineering Indian Institute of Technology - Bombay Analog Circuits Prof. Jayanta Mukherjee Department of Electrical Engineering Indian Institute of Technology - Bombay Week 05 Module - 05 Tutorial No.4 Welcome everyone my name is Basudev Majumder, I am

More information

Prepare for this experiment!

Prepare for this experiment! Notes on Experiment #10 Prepare for this experiment! Read the P-Amp Tutorial before going on with this experiment. For any Ideal p Amp with negative feedback you may assume: V - = V + (But not necessarily

More information

Metal-Oxide-Semiconductor Field Effect Transistor (MOSFET)

Metal-Oxide-Semiconductor Field Effect Transistor (MOSFET) Metal-Oxide-Semiconductor ield Effect Transistor (MOSET) Source Gate Drain p p n- substrate - SUB MOSET is a symmetrical device in the most general case (for example, in an integrating circuit) In a separate

More information

Homework Assignment 11

Homework Assignment 11 Homework Assignment Question State and then explain in 2 3 sentences, the advantage of switched capacitor filters compared to continuous-time active filters. (3 points) Continuous time filters use resistors

More information

1. Design a 3rd order Butterworth low-pass filters having a dc gain of unity and a cutoff frequency, fc, of khz.

1. Design a 3rd order Butterworth low-pass filters having a dc gain of unity and a cutoff frequency, fc, of khz. ECE 34 Experiment 6 Active Filter Design. Design a 3rd order Butterworth low-pass ilters having a dc gain o unity and a cuto requency, c, o.8 khz. c :=.8kHz K:= The transer unction is given on page 7 j

More information

ECE1750, Spring Week 11 Power Electronics

ECE1750, Spring Week 11 Power Electronics ECE1750, Spring 2017 Week 11 Power Electronics Control 1 Power Electronic Circuits Control In most power electronic applications we need to control some variable, such as the put voltage of a dc-dc converter,

More information

Electronic Circuits EE359A

Electronic Circuits EE359A Electronic Circuits EE359A Bruce McNair B26 bmcnair@stevens.edu 21-216-5549 Lecture 22 578 Second order LCR resonator-poles V o I 1 1 = = Y 1 1 + sc + sl R s = C 2 s 1 s + + CR LC s = C 2 sω 2 s + + ω

More information

Analog Circuits and Systems

Analog Circuits and Systems Analog Circuits and Systems Prof. K Radhakrishna Rao Lecture 5 Analog Signal Processing using One Port Networks, Passive Two Ports and Ideal Amplifiers 1 One Port Devices Passive devices like R, L, C and

More information

ECE 201 Fall 2009 Final Exam

ECE 201 Fall 2009 Final Exam ECE 01 Fall 009 Final Exam December 16, 009 Division 0101: Tan (11:30am) Division 001: Clark (7:30 am) Division 0301: Elliott (1:30 pm) Instructions 1. DO NOT START UNTIL TOLD TO DO SO.. Write your Name,

More information

Linear Circuit Experiment (MAE171a) Prof: Raymond de Callafon

Linear Circuit Experiment (MAE171a) Prof: Raymond de Callafon Linear Circuit Experiment (MAE171a) Prof: Raymond de Callafon email: callafon@ucsd.edu TA: Younghee Han tel. (858) 8221763/8223457, email: y3han@ucsd.edu class information and lab handouts will be available

More information

EE 321 Analog Electronics, Fall 2013 Homework #3 solution

EE 321 Analog Electronics, Fall 2013 Homework #3 solution EE 32 Analog Electronics, Fall 203 Homework #3 solution 2.47. (a) Use superposition to show that the output of the circuit in Fig. P2.47 is given by + [ Rf v N + R f v N2 +... + R ] f v Nn R N R N2 R [

More information

Lecture 6, ATIK. Switched-capacitor circuits 2 S/H, Some nonideal effects Continuous-time filters

Lecture 6, ATIK. Switched-capacitor circuits 2 S/H, Some nonideal effects Continuous-time filters Lecture 6, ATIK Switched-capacitor circuits 2 S/H, Some nonideal effects Continuous-time filters What did we do last time? Switched capacitor circuits The basics Charge-redistribution analysis Nonidealties

More information

D is the voltage difference = (V + - V - ).

D is the voltage difference = (V + - V - ). 1 Operational amplifier is one of the most common electronic building blocks used by engineers. It has two input terminals: V + and V -, and one output terminal Y. It provides a gain A, which is usually

More information

Laplace Transform Analysis of Signals and Systems

Laplace Transform Analysis of Signals and Systems Laplace Transform Analysis of Signals and Systems Transfer Functions Transfer functions of CT systems can be found from analysis of Differential Equations Block Diagrams Circuit Diagrams 5/10/04 M. J.

More information

Print Name : ID : ECE Test #1 9/22/2016

Print Name :  ID : ECE Test #1 9/22/2016 Print Name : Email ID : ECE 2660 Test #1 9/22/2016 All answers must be recorded on the answer page (page 2). You must do all questions on the exam. For Part 4 you must show all your work and write your

More information

Frequency Dependent Aspects of Op-amps

Frequency Dependent Aspects of Op-amps Frequency Dependent Aspects of Op-amps Frequency dependent feedback circuits The arguments that lead to expressions describing the circuit gain of inverting and non-inverting amplifier circuits with resistive

More information

Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 INTRODUCTION TO ACTIVE AND PASSIVE ANALOG

Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 INTRODUCTION TO ACTIVE AND PASSIVE ANALOG INTRODUCTION TO ACTIVE AND PASSIVE ANALOG FILTER DESIGN INCLUDING SOME INTERESTING AND UNIQUE CONFIGURATIONS Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 TOPICS Introduction

More information

Time Varying Circuit Analysis

Time Varying Circuit Analysis MAS.836 Sensor Systems for Interactive Environments th Distributed: Tuesday February 16, 2010 Due: Tuesday February 23, 2010 Problem Set # 2 Time Varying Circuit Analysis The purpose of this problem set

More information

Lectures on STABILITY

Lectures on STABILITY University of California Berkeley College of Engineering Department of Electrical Engineering and Computer Science νin ( ) Effect of Feedback on Frequency Response a SB Robert W. Brodersen EECS40 Analog

More information

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review.

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review. Schedule Date Day lass No. 0 Nov Mon 0 Exam Review Nov Tue Title hapters HW Due date Nov Wed Boolean Algebra 3. 3.3 ab Due date AB 7 Exam EXAM 3 Nov Thu 4 Nov Fri Recitation 5 Nov Sat 6 Nov Sun 7 Nov Mon

More information

Active Frequency Filters with High Attenuation Rate

Active Frequency Filters with High Attenuation Rate Active Frequency Filters with High Attenuation Rate High Performance Second Generation Current Conveyor Vratislav Michal Geoffroy Klisnick, Gérard Sou, Michel Redon, Jiří Sedláček DTEEE - Brno University

More information

EE100Su08 Lecture #9 (July 16 th 2008)

EE100Su08 Lecture #9 (July 16 th 2008) EE100Su08 Lecture #9 (July 16 th 2008) Outline HW #1s and Midterm #1 returned today Midterm #1 notes HW #1 and Midterm #1 regrade deadline: Wednesday, July 23 rd 2008, 5:00 pm PST. Procedure: HW #1: Bart

More information

LECTURE 130 COMPENSATION OF OP AMPS-II (READING: GHLM , AH )

LECTURE 130 COMPENSATION OF OP AMPS-II (READING: GHLM , AH ) Lecture 30 Compensation of Op AmpsII (/26/04) Page 30 LECTURE 30 COMPENSATION OF OP AMPSII (READING: GHLM 638652, AH 260269) INTRODUCTION The objective of this presentation is to continue the ideas of

More information

Basic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011

Basic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011 Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 9-14, 2011 Presented By Gary Drake Argonne National Laboratory Session 2

More information

Electronic Circuits EE359A

Electronic Circuits EE359A Electronic Circuits EE359A Bruce McNair B26 bmcnair@stevens.edu 21-216-5549 Lecture 22 569 Second order section Ts () = s as + as+ a 2 2 1 ω + s+ ω Q 2 2 ω 1 p, p = ± 1 Q 4 Q 1 2 2 57 Second order section

More information

This document contains the Errata for Design with Op Amps and Analog ICs.

This document contains the Errata for Design with Op Amps and Analog ICs. This document contains the Errata for Design with Op Amps and Analog ICs. The Errata are shown for the 4 th Edition, 3 rd Edition, and nd Edition, as follows: For the 4 th Edition Errata, scroll down to

More information

Analog Computing Technique

Analog Computing Technique Analog Computing Technique by obert Paz Chapter Programming Principles and Techniques. Analog Computers and Simulation An analog computer can be used to solve various types o problems. It solves them in

More information

2 Signal Frequency and Impedances First Order Filter Circuits Resonant and Second Order Filter Circuits... 13

2 Signal Frequency and Impedances First Order Filter Circuits Resonant and Second Order Filter Circuits... 13 Lecture Notes: 3454 Physics and Electronics Lecture ( nd Half), Year: 7 Physics Department, Faculty of Science, Chulalongkorn University //7 Contents Power in Ac Circuits Signal Frequency and Impedances

More information

ECE 212H1F Circuit Analysis October 20, :15-19: Reza Iravani 02 Reza Iravani 03 Ali Nabavi-Niaki. (Non-programmable Calculators Allowed)

ECE 212H1F Circuit Analysis October 20, :15-19: Reza Iravani 02 Reza Iravani 03 Ali Nabavi-Niaki. (Non-programmable Calculators Allowed) Please Print Clearly Last Name: First Name: Student Number: Your Tutorial Section (CIRCLE ONE): 01 Thu 10:00 12:00 HA403 02 Thu 10:00 12:00 GB412 03 Thu 15:00 17:00 GB412 04 Thu 15:00 17:00 SF2202 05 Fri

More information

Feedback Control G 1+FG A

Feedback Control G 1+FG A Introduction to Operational Amplifiers Circuit Functionality So far, only passive circuits (C, L and LC) have been analyzed in terms of the time-domain operator T and the frequency-domain operator A(ω),

More information

CHAPTER 14 SIGNAL GENERATORS AND WAVEFORM SHAPING CIRCUITS

CHAPTER 14 SIGNAL GENERATORS AND WAVEFORM SHAPING CIRCUITS CHAPTER 4 SIGNA GENERATORS AND WAEFORM SHAPING CIRCUITS Chapter Outline 4. Basic Principles of Sinusoidal Oscillators 4. Op Amp RC Oscillators 4.3 C and Crystal Oscillators 4.4 Bistable Multivibrators

More information

Lecture 4: Feedback and Op-Amps

Lecture 4: Feedback and Op-Amps Lecture 4: Feedback and Op-Amps Last time, we discussed using transistors in small-signal amplifiers If we want a large signal, we d need to chain several of these small amplifiers together There s a problem,

More information

ENGN3227 Analogue Electronics. Problem Sets V1.0. Dr. Salman Durrani

ENGN3227 Analogue Electronics. Problem Sets V1.0. Dr. Salman Durrani ENGN3227 Analogue Electronics Problem Sets V1.0 Dr. Salman Durrani November 2006 Copyright c 2006 by Salman Durrani. Problem Set List 1. Op-amp Circuits 2. Differential Amplifiers 3. Comparator Circuits

More information

FILTER DESIGN FOR SIGNAL PROCESSING USING MATLAB AND MATHEMATICAL

FILTER DESIGN FOR SIGNAL PROCESSING USING MATLAB AND MATHEMATICAL FILTER DESIGN FOR SIGNAL PROCESSING USING MATLAB AND MATHEMATICAL Miroslav D. Lutovac The University of Belgrade Belgrade, Yugoslavia Dejan V. Tosic The University of Belgrade Belgrade, Yugoslavia Brian

More information

Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto

Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto (johns@eecg.toronto.edu) (martin@eecg.toronto.edu) University of Toronto 1 of 60 Basic Building Blocks Opamps Ideal opamps usually

More information

PHYS225 Lecture 9. Electronic Circuits

PHYS225 Lecture 9. Electronic Circuits PHYS225 Lecture 9 Electronic Circuits Last lecture Field Effect Transistors Voltage controlled resistor Various FET circuits Switch Source follower Current source Similar to BJT Draws no input current

More information

2.161 Signal Processing: Continuous and Discrete

2.161 Signal Processing: Continuous and Discrete MIT OpenCourseWare http://ocw.mit.edu.6 Signal Processing: Continuous and Discrete Fall 008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. M MASSACHUSETTS

More information

Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5.

Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5. Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5.2 pp. 232-242 Two-stage op-amp Analysis Strategy Recognize

More information

Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 20

Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 20 EECS 16A Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 20 Design Example Continued Continuing our analysis for countdown timer circuit. We know for a capacitor C: I = C dv

More information

EE-202 Exam III April 15, 2010

EE-202 Exam III April 15, 2010 EE-0 Exam III April 5, 00 Name: SOLUTION (No period) (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 8:30 MWF Afternoon 3:30 MWF INSTRUCTIONS There are 9 multiple choice worth 5 points

More information

Design of Narrow Band Filters Part 2

Design of Narrow Band Filters Part 2 E.U.I.T. Telecomunicación 200, Madrid, Spain, 27.09 30.09.200 Design of Narrow Band Filters Part 2 Thomas Buch Institute of Communications Engineering University of Rostock Th. Buch, Institute of Communications

More information

Lecture 7: Transistors and Amplifiers

Lecture 7: Transistors and Amplifiers Lecture 7: Transistors and Amplifiers Hybrid Transistor Model for small AC : The previous model for a transistor used one parameter (β, the current gain) to describe the transistor. doesn't explain many

More information

ECE 212H1F Circuit Analysis October 30, :10-19: Reza Iravani 02 Reza Iravani 03 Piero Triverio. (Non-programmable Calculators Allowed)

ECE 212H1F Circuit Analysis October 30, :10-19: Reza Iravani 02 Reza Iravani 03 Piero Triverio. (Non-programmable Calculators Allowed) Please Print Clearly Last Name: First Name: Student Number: Your Tutorial Section (CIRCLE ONE): 01 Thu. 9-11 RS211 02 Thu. 9-11 GB119 03 Tue. 10-12 SF2202 04 Tue. 10-12 SF3201 05 Tue. 13-15 GB304 06 Tue.

More information

ECEN 607 (ESS) Op-Amps Stability and Frequency Compensation Techniques. Analog & Mixed-Signal Center Texas A&M University

ECEN 607 (ESS) Op-Amps Stability and Frequency Compensation Techniques. Analog & Mixed-Signal Center Texas A&M University ECEN 67 (ESS) Op-Amps Stability and Frequency Compensation Techniques Analog & Mixed-Signal Center Texas A&M University Stability of Linear Systems Harold S. Black, 97 Negative feedback concept Negative

More information

Single-Input-Single-Output Systems

Single-Input-Single-Output Systems TF 502 Single-Input-Single-Output Systems SIST, ShanghaiTech Introduction Open-Loop Control-Response Proportional Control General PID Control Boris Houska 1-1 Contents Introduction Open-Loop Control-Response

More information

ECE Spring 2015 Final Exam

ECE Spring 2015 Final Exam ECE 20100 Spring 2015 Final Exam May 7, 2015 Section (circle below) Jung (1:30) 0001 Qi (12:30) 0002 Peleato (9:30) 0004 Allen (10:30) 0005 Zhu (4:30) 0006 Name PUID Instructions 1. DO NOT START UNTIL

More information

Analog Circuits Prof. Jayanta Mukherjee Department of Electrical Engineering Indian Institute of Technology -Bombay

Analog Circuits Prof. Jayanta Mukherjee Department of Electrical Engineering Indian Institute of Technology -Bombay Analog Circuits Prof. Jayanta Mukherjee Department of Electrical Engineering Indian Institute of Technology -Bombay Week -01 Module -05 Inverting amplifier and Non-inverting amplifier Welcome to another

More information

Homework Assignment 09

Homework Assignment 09 Homework Assignment 09 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. What is the 3-dB bandwidth of the amplifier shown below if r π = 2.5K, r o = 100K, g m = 40 ms, and C L =

More information

EE 205 Dr. A. Zidouri. Electric Circuits II. Frequency Selective Circuits (Filters) Low Pass Filter. Lecture #36

EE 205 Dr. A. Zidouri. Electric Circuits II. Frequency Selective Circuits (Filters) Low Pass Filter. Lecture #36 EE 05 Dr. A. Zidouri Electric ircuits II Frequency Selective ircuits (Filters) ow Pass Filter ecture #36 - - EE 05 Dr. A. Zidouri The material to be covered in this lecture is as follows: o Introduction

More information

ECEN 325 Electronics

ECEN 325 Electronics ECEN 325 Electronics Introduction Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering Ohm s Law i R i R v 1 v v 2 v v 1 v 2 v = v 1 v 2 v = v 1 v 2 v = ir

More information

Figure Circuit for Question 1. Figure Circuit for Question 2

Figure Circuit for Question 1. Figure Circuit for Question 2 Exercises 10.7 Exercises Multiple Choice 1. For the circuit of Figure 10.44 the time constant is A. 0.5 ms 71.43 µs 2, 000 s D. 0.2 ms 4 Ω 2 Ω 12 Ω 1 mh 12u 0 () t V Figure 10.44. Circuit for Question

More information

Designing Information Devices and Systems I Spring 2019 Homework 11

Designing Information Devices and Systems I Spring 2019 Homework 11 Last Updated: 2019-04-12 23:38 1 EECS 16A Designing Information Devices and Systems I Spring 2019 Homework 11 This homework is due April 19, 2019, at 23:59. Self-grades are due April 23, 2019, at 23:59.

More information

Operational Amplifiers

Operational Amplifiers Operational Amplifiers A Linear IC circuit Operational Amplifier (op-amp) An op-amp is a high-gain amplifier that has high input impedance and low output impedance. An ideal op-amp has infinite gain and

More information