Analog Circuits and Systems
|
|
- Evelyn Cannon
- 5 years ago
- Views:
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 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 informationOPERATIONAL 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 informationUnit 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 informationProf. 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 informationActive 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 informationDESIGN 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 informationStart 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 informationEE 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 informationThe 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 information8. 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 informationOp-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 informationEE 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 informationE40M. 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 informationTexas 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 informationDeliyannis, 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 informationActive 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 informationBiquad 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 informationWHITE 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 informationECE3050 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 informationEE 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 informationInput 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 informationToday. 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 informationMaster 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 informationLecture 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 informationEE482: 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 informationAnalogue 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 informationEE-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 informationLow-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 informationEEE 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 informationSource-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 informationLecture 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 informationEE 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 informationOperational 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 informationOperational 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 informationECEN 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 informationSophomore 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 informationExercise 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 informationEE-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 informationElectronic 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 informationThe 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 informationName: (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 informationSection 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 informationLecture 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 informationSecond-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 informationBandwidth 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 informationEE-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 informationActive 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 informationAnalog 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 informationPrepare 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 informationMetal-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 informationHomework 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 information1. 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 informationECE1750, 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 informationElectronic 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 informationAnalog 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 informationECE 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 informationLinear 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 informationEE 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 informationLecture 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 informationD 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 informationLaplace 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 informationPrint 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 informationFrequency 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 informationSpeaker: 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 informationTime 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 informationLectures 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 informationSchedule. 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 informationActive 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 informationEE100Su08 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 informationLECTURE 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 informationBasic 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 informationElectronic 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 informationThis 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 informationAnalog 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 information2 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 informationECE 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 informationFeedback 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 informationCHAPTER 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 informationLecture 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 informationENGN3227 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 informationFILTER 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 informationSwitched-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 informationPHYS225 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 information2.161 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 informationStudio 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 informationDesigning 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 informationEE-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 informationDesign 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 informationLecture 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 informationECE 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 informationECEN 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 informationSingle-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 informationECE 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 informationAnalog 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 informationHomework 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 informationEE 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 informationECEN 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 informationFigure 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 informationDesigning 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 informationOperational 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