Lecture 090 Multiple Stage Frequency Response - I (1/17/02) Page 090-1

Size: px
Start display at page:

Download "Lecture 090 Multiple Stage Frequency Response - I (1/17/02) Page 090-1"

Transcription

1 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 9 LECTUE 9 MULTIPLESTAGE FEQUENCY ESPONSE I (EADING: GHLM 56527) Objective The objective of this presentation is:.) Develop methods for the frequency analysis of multiple stage amplifiers 2.) Illustrate by examples Outline Dominant Pole Approximation ZeroValue (Opencircuit) Time Constant Analysis Examples ShortCircuit Time Constants Examples Summary Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 92 Dominant Pole Approximation If one of the poles is significantly closer to the origin of the complex frequency plane, its magnitude is a good approximation to the 3dB frequency. Consider the following general transfer function: A(s) N(s) D(s) a a s a 2 s 2 a m s m b b s b 2 s 2 b n s n Equating denominator terms gives, b p p 2 p n n Σ i p i K s p s p 2 s p n If p << p 2, p 3, then b p and ω 3dB p b Complex frequency plane: jω splane p 3 p 2 p σ Fig. 9

2 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 93 OpenCircuit Time Constant Analysis This method is suitable for finding the dominant pole of a circuit with multiple capacitors. Consider the following nport network, We may express the nodal equations as, I (g sc )V g 2 V 2 g 3 V 3 I 2 g 2 V (g 22 sc 2 )V 2 g 23 V 3 I 3 g 3 V g 32 V 2 (g 33 sc 3 )V 3 The determinant of the above can be expressed as (s) K K s K 2 s 2 K 3 s 3 K ( b s b 2 s 2 b 3 s 3 ) I V I 2 V 2 I 3 V 3 C C 2 C 3 nport network where K (C i ) for all i Fig. 97 Consider now the K which involves a single capacitor and is given as K h sc h 2 sc 2 h 3 sc 3 The h i terms can be evaluated by expanding the determinant about each row: First row: (s) (g sc ) g 2 2 g 3 3 h (C i, i ) Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 94 OpenCircuit Time Constant Analysis Continued Second row: (s) g 2 2 (g 22 sc 2 ) 22 g h 2 22 (C i, i 2) Third row: (s) g 3 3 g (g 33 sc ) 33 h 3 33 (C i, i 3) K C (C i, i ) C 2 22 (C i, i 2) C 3 33 (C i, i 3) Finally, b K K (C i, i ) C 22(C i, i 2) C 2 33(C i, i 3) C 3 If we realize that the drivingpoint impedance of the ith port are expressed as V i I i (s) then o (C i, i ), 2o 22(C i, i 2), 3o 33(C i, i 3), are the drivingpoint impedances at ports, 2, 3, with all capacitors set equal to zero. b o C 2o C 2 3o C 3 where io C i are called the opencircuit time constants. If there are no dominant zeros, then the dominant pole, p, is given as ω 3dB p b o C 2o C 2 3o C 3 Σ n ( io C i ) i

3 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 95 Example A more exact model of the commonemitter BJT is shown below. Using the opencircuit time constant approach, find an expression for the 3dB frequency. Solution The procedure involves finding the opencircuit time constants. io (Corresponds to C i ): v in I rb r π v r b C x Ci C f g m v L v out Fig. 93 io r π (r b I ) I r π io fo (Corresponds to C f ): r π (r b I ) ( g m V ) L V r π (r b I ) io io L g m io L fo io L g m io L I r b r π fo, xo V g m V L Fig. 94 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 96 Example Continued xo (Corresponds to C x ): (r π r b ) I ( g m V ) L r b xo V [ I r π /( I r b r π )] (r π r b ) I L g m L [(r π r b ) I ] I r π V g m V L xo (r π r b ) I L g m [ I r π /( I r b r π )] L Fig. 95 ω 3dB io C i fo C f xo C x ω 3dB r π (r b I )C i ( io L g m io L )C f {(r π r b ) I L g m L [ I r π /( I r b r π )]}C x ω 3dB r π (r b I )C i [g m L (r π I )](C f C x ) if r b Let I kω, r b 2Ω, I C ma, β o, f T 4MHz (I C ma), C µ.5pf, C x, L 5kΩ, and find the 3dB frequency. r π β o g m (26)2.6kΩ, τ T 2πf 398ps C π g m τ T C µ 5.3pF.5pF 4.8pF T ω 3dB (4.8) (5/26)(2.6 ) x6 rad/s (.95MHz)

4 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 97 Example 2 Cascade VoltageAmplifier Frequency esponse Calculate the 3dB frequency of the cascade voltage amplifier shown which has the following parameters: I kω L kω L2 5kΩ C gs 5pF C gs2 pf C gd C gd2 pf C bd C bd2 2pF g m 3mA/V g m2 6mA/V V DD V DD C gd C gd2 v in L M M2 v out V in C gs V g m V C bd Finding the opencircuit time constants: C gs : gs I kω C gs2 : gs2 L kω C gd : (Use the model to the right) I ( g m V ) L I ( g m I ) L gd I L g m I L 2kΩ 3kΩ 32kΩ L C gs2 V 2 g m V 2 V g m V V L2 out C bd2 Fig. 96 L Fig. 97 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 98 Example 2 Continued C gd2 : (Can use the results of C gd ) gd2 L L2 g m2 L L2 kω 5kΩ 3kΩ 35kΩ C bd : bd L kω C bd2 : bd2 L2 5kΩ ω 3dB ΣT gs C gs gs2 C gs2 gd C gd gd2 C gd2 bd C bd bd2 C bd x6 rad/s f 3dB 95kHz Computer simulation gives poles at 25kHz, 4.2MHz, and 39.98MHz and two zeros at 477MHz and 955MHz. How important is it for the circuit to have a dominant pole for the opencircuit time constant approach? For a circuit with two identical poles, the 3dB frequency is ω 3dB ω x 2 ).64ω x The opencircuit time constant approach gives ω 3dB ω x /2.5ω x 22% error and is pessimistic

5 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 99 Example 3 Cascode VoltageAmplifier Frequency esponse Calculate the 3dB frequency of the cascade voltage amplifier shown which has the following parameters: I kω L2 kω C gs 5pF C gs2 pf C gd C gd2 pf C bd C bd2 2pF g m 3mA/V g m2 6mA/V 5kΩ V DD L M2 M v out v in V GG2 Finding the opencircuit time constants: C gs : gs I kω C gd : gd? I ( g m V ) S2 I ( g m I ) S2 V in C gd g m V 2 G DS2 D2 V C C V 2 C 2 L2 V out gs g m V G2 S C C bd C gs2 C 2 C bd2 C gd2 Fig. 98 S2 g m V 2 gd I t I S2 g m I S2 I S2 (g m I ) V V 2 L2 g m V Fig. 99 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 9 Example 3 Continued But what is S2? Using the model shown, we see that g m2 L2 S2 L2 g m2 Note that unless > L2 that S2 is greater than /g m. r ds2 L2 gd I (g m I ) g m2 kω3.2kω 6.2kΩ C : S2 L2 g m2.2kω ω 3dB ΣT gs C gs gd C gd C 2 C 2 C 2 : L2 kω gs C gs gd C gd (C bd C gs2 ) 2 (C bd2 C gd2 ) x6 rad/s f 3dB 2.46MHz Note that the Miller effect, gd, is less in the cascode amplifier (6.2kΩ compared with 32kΩ). S2 g m2 L2 Fig. 9

6 Lecture 9 Multiple Stage Frequency esponse I (/7/2) Page 9 SUMMAY Developed the background for the opencircuit time constant analysis Good for amplifiers with multiple capacitors Works well if one of the poles is dominant, okay if not (pessimistic approx.) Illustrated the opencircuit time constant analysis Cascaded MOSFET amplifier Cascode MOSFET amplifier The input impedance to the cascoding stage depends on what is connected to the output of the cascoding stage. S2 L2 g m2 We will continue the multiple amplifier analysis techniques in the following lecture.

Lecture Stage Frequency Response - I (1/10/02) Page ECE Analog Integrated Circuits and Systems II P.E.

Lecture Stage Frequency Response - I (1/10/02) Page ECE Analog Integrated Circuits and Systems II P.E. Lecture 070 Stage Frequency esponse I (/0/0) Page 070 LECTUE 070 SINGLESTAGE FEQUENCY ESPONSE I (EADING: GHLM 488504) Objective The objective of this presentation is:.) Illustrate the frequency analysis

More information

ECE 3050A, Spring 2004 Page 1. FINAL EXAMINATION - SOLUTIONS (Average score = 78/100) R 2 = R 1 =

ECE 3050A, Spring 2004 Page 1. FINAL EXAMINATION - SOLUTIONS (Average score = 78/100) R 2 = R 1 = ECE 3050A, Spring 2004 Page Problem (20 points This problem must be attempted) The simplified schematic of a feedback amplifier is shown. Assume that all transistors are matched and g m ma/v and r ds.

More information

ECE-343 Test 1: Feb 10, :00-8:00pm, Closed Book. Name : SOLUTION

ECE-343 Test 1: Feb 10, :00-8:00pm, Closed Book. Name : SOLUTION ECE-343 Test : Feb 0, 00 6:00-8:00pm, Closed Book Name : SOLUTION C Depl = C J0 + V R /V o ) m C Diff = τ F g m ω T = g m C µ + C π ω T = g m I / D C GD + C or V OV GS b = τ i τ i = R i C i ω H b Z = Z

More information

Assignment 3 ELEC 312/Winter 12 R.Raut, Ph.D.

Assignment 3 ELEC 312/Winter 12 R.Raut, Ph.D. Page 1 of 3 ELEC 312: ELECTRONICS II : ASSIGNMENT-3 Department of Electrical and Computer Engineering Winter 2012 1. A common-emitter amplifier that can be represented by the following equivalent circuit,

More information

ECEN 326 Electronic Circuits

ECEN 326 Electronic Circuits ECEN 326 Electronic Circuits Frequency Response Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering High-Frequency Model BJT & MOS B or G r x C f C or D r

More information

University of Toronto. Final Exam

University of Toronto. Final Exam University of Toronto Final Exam Date - Dec 16, 013 Duration:.5 hrs ECE331 Electronic Circuits Lecturer - D. Johns ANSWER QUESTIONS ON THESE SHEETS USING BACKS IF NECESSARY 1. Equation sheet is on last

More information

Electronics II. Final Examination

Electronics II. Final Examination The University of Toledo f17fs_elct27.fm 1 Electronics II Final Examination Problems Points 1. 11 2. 14 3. 15 Total 40 Was the exam fair? yes no The University of Toledo f17fs_elct27.fm 2 Problem 1 11

More information

CE/CS Amplifier Response at High Frequencies

CE/CS Amplifier Response at High Frequencies .. CE/CS Amplifier Response at High Frequencies INEL 4202 - Manuel Toledo August 20, 2012 INEL 4202 - Manuel Toledo CE/CS High Frequency Analysis 1/ 24 Outline.1 High Frequency Models.2 Simplified Method.3

More information

EE105 Fall 2014 Microelectronic Devices and Circuits

EE105 Fall 2014 Microelectronic Devices and Circuits EE05 Fall 204 Microelectronic Devices and Circuits Prof. Ming C. Wu wu@eecs.berkeley.edu 5 Sutardja Dai Hall (SDH) Terminal Gain and I/O Resistances of BJT Amplifiers Emitter (CE) Collector (CC) Base (CB)

More information

ECE-343 Test 2: Mar 21, :00-8:00, Closed Book. Name : SOLUTION

ECE-343 Test 2: Mar 21, :00-8:00, Closed Book. Name : SOLUTION ECE-343 Test 2: Mar 21, 2012 6:00-8:00, Closed Book Name : SOLUTION 1. (25 pts) (a) Draw a circuit diagram for a differential amplifier designed under the following constraints: Use only BJTs. (You may

More information

Exact Analysis of a Common-Source MOSFET Amplifier

Exact Analysis of a Common-Source MOSFET Amplifier Exact Analysis of a Common-Source MOSFET Amplifier Consider the common-source MOSFET amplifier driven from signal source v s with Thévenin equivalent resistance R S and a load consisting of a parallel

More information

Lecture 37: Frequency response. Context

Lecture 37: Frequency response. Context EECS 05 Spring 004, Lecture 37 Lecture 37: Frequency response Prof J. S. Smith EECS 05 Spring 004, Lecture 37 Context We will figure out more of the design parameters for the amplifier we looked at in

More information

Advanced Current Mirrors and Opamps

Advanced Current Mirrors and Opamps Advanced Current Mirrors and Opamps David Johns and Ken Martin (johns@eecg.toronto.edu) (martin@eecg.toronto.edu) slide 1 of 26 Wide-Swing Current Mirrors I bias I V I in out out = I in V W L bias ------------

More information

Lecture 050 Followers (1/11/04) Page ECE Analog Integrated Circuits and Systems II P.E. Allen

Lecture 050 Followers (1/11/04) Page ECE Analog Integrated Circuits and Systems II P.E. Allen Lecture 5 Followers (1/11/4) Page 51 LECTURE 5 FOLLOWERS (READING: GHLM 344362, AH 221226) Objective The objective of this presentation is: Show how to design stages that 1.) Provide sufficient output

More information

Homework Assignment 08

Homework Assignment 08 Homework Assignment 08 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. Give one phrase/sentence that describes the primary advantage of an active load. Answer: Large effective resistance

More information

Multistage Amplifier Frequency Response

Multistage Amplifier Frequency Response Multistage Amplifier Frequency Response * Summary of frequency response of single-stages: CE/CS: suffers from Miller effect CC/CD: wideband -- see Section 0.5 CB/CG: wideband -- see Section 0.6 (wideband

More information

ECE Analog Integrated Circuit Design - II P.E. Allen

ECE Analog Integrated Circuit Design - II P.E. Allen Lecture 290 Feedback Analysis using Return Ratio (3/20/02) Page 2901 LECTURE 290 FEEDBACK CIRCUIT ANALYSIS USING RETURN RATIO (READING: GHLM 599613) Objective The objective of this presentation is: 1.)

More information

Lecture 140 Simple Op Amps (2/11/02) Page 140-1

Lecture 140 Simple Op Amps (2/11/02) Page 140-1 Lecture 40 Simple Op Amps (2//02) Page 40 LECTURE 40 SIMPLE OP AMPS (READING: TextGHLM 425434, 453454, AH 249253) INTRODUCTION The objective of this presentation is:.) Illustrate the analysis of BJT and

More information

EE 330. Lecture 35. Parasitic Capacitances in MOS Devices

EE 330. Lecture 35. Parasitic Capacitances in MOS Devices EE 330 Lecture 35 Parasitic Capacitances in MOS Devices Exam 2 Wed Oct 24 Exam 3 Friday Nov 16 Review from Last Lecture Cascode Configuration Discuss V CC gm1 gm1 I B VCC V OUT g02 g01 A - β β VXX Q 2

More information

I. Frequency Response of Voltage Amplifiers

I. Frequency Response of Voltage Amplifiers I. Frequency Response of Voltage Amplifiers A. Common-Emitter Amplifier: V i SUP i OUT R S V BIAS R L v OUT V Operating Point analysis: 0, R s 0, r o --->, r oc --->, R L ---> Find V BIAS such that I C

More information

Chapter 9 Frequency Response. PART C: High Frequency Response

Chapter 9 Frequency Response. PART C: High Frequency Response Chapter 9 Frequency Response PART C: High Frequency Response Discrete Common Source (CS) Amplifier Goal: find high cut-off frequency, f H 2 f H is dependent on internal capacitances V o Load Resistance

More information

Lecture 23 Frequency Response of Amplifiers (I) Common Source Amplifier. December 1, 2005

Lecture 23 Frequency Response of Amplifiers (I) Common Source Amplifier. December 1, 2005 6.02 Microelectronic Devices and Circuits Fall 2005 Lecture 23 Lecture 23 Frequency Response of Amplifiers (I) Common Source Amplifier December, 2005 Contents:. Introduction 2. Intrinsic frequency response

More information

55:041 Electronic Circuits The University of Iowa Fall Final Exam

55:041 Electronic Circuits The University of Iowa Fall Final Exam Final Exam Name: Score Max: 135 Question 1 (1 point unless otherwise noted) a. What is the maximum theoretical efficiency for a class-b amplifier? Answer: 78% b. The abbreviation/term ESR is often encountered

More information

Final Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013.

Final Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013. Final Exam Name: Max: 130 Points Question 1 In the circuit shown, the op-amp is ideal, except for an input bias current I b = 1 na. Further, R F = 10K, R 1 = 100 Ω and C = 1 μf. The switch is opened at

More information

55:041 Electronic Circuits The University of Iowa Fall Exam 2

55:041 Electronic Circuits The University of Iowa Fall Exam 2 Exam 2 Name: Score /60 Question 1 One point unless indicated otherwise. 1. An engineer measures the (step response) rise time of an amplifier as t r = 0.35 μs. Estimate the 3 db bandwidth of the amplifier.

More information

ECE 546 Lecture 11 MOS Amplifiers

ECE 546 Lecture 11 MOS Amplifiers ECE 546 Lecture MOS Amplifiers Spring 208 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu ECE 546 Jose Schutt Aine Amplifiers Definitions Used to increase

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

Chapter 13 Small-Signal Modeling and Linear Amplification

Chapter 13 Small-Signal Modeling and Linear Amplification Chapter 13 Small-Signal Modeling and Linear Amplification Microelectronic Circuit Design Richard C. Jaeger Travis N. Blalock 1/4/12 Chap 13-1 Chapter Goals Understanding of concepts related to: Transistors

More information

Microelectronic Circuit Design 4th Edition Errata - Updated 4/4/14

Microelectronic Circuit Design 4th Edition Errata - Updated 4/4/14 Chapter Text # Inside back cover: Triode region equation should not be squared! i D = K n v GS "V TN " v & DS % ( v DS $ 2 ' Page 49, first exercise, second answer: -1.35 x 10 6 cm/s Page 58, last exercise,

More information

The Miller Approximation

The Miller Approximation The Miller Approximation The exact analysis is not particularly helpful for gaining insight into the frequency response... consider the effect of C µ on the input only I t C µ V t g m V t R'out = r o r

More information

Bipolar junction transistors

Bipolar junction transistors Bipolar junction transistors Find parameters of te BJT in CE configuration at BQ 40 µa and CBQ V. nput caracteristic B / µa 40 0 00 80 60 40 0 0 0, 0,5 0,3 0,35 0,4 BE / V Output caracteristics C / ma

More information

Electronics II. Final Examination

Electronics II. Final Examination The University of Toledo f6fs_elct7.fm - Electronics II Final Examination Problems Points. 5. 0 3. 5 Total 40 Was the exam fair? yes no The University of Toledo f6fs_elct7.fm - Problem 5 points Given is

More information

EE105 Fall 2015 Microelectronic Devices and Circuits Frequency Response. Prof. Ming C. Wu 511 Sutardja Dai Hall (SDH)

EE105 Fall 2015 Microelectronic Devices and Circuits Frequency Response. Prof. Ming C. Wu 511 Sutardja Dai Hall (SDH) EE05 Fall 205 Microelectronic Devices and Circuits Frequency Response Prof. Ming C. Wu wu@eecs.berkeley.edu 5 Sutardja Dai Hall (SDH) Amplifier Frequency Response: Lower and Upper Cutoff Frequency Midband

More information

Frequency Response Prof. Ali M. Niknejad Prof. Rikky Muller

Frequency Response Prof. Ali M. Niknejad Prof. Rikky Muller EECS 105 Spring 2017, Module 4 Frequency Response Prof. Ali M. Niknejad Department of EECS Announcements l HW9 due on Friday 2 Review: CD with Current Mirror 3 Review: CD with Current Mirror 4 Review:

More information

Refinements to Incremental Transistor Model

Refinements to Incremental Transistor Model Refinements to Incremental Transistor Model This section presents modifications to the incremental models that account for non-ideal transistor behavior Incremental output port resistance Incremental changes

More information

MICROELECTRONIC CIRCUIT DESIGN Second Edition

MICROELECTRONIC CIRCUIT DESIGN Second Edition MICROELECTRONIC CIRCUIT DESIGN Second Edition Richard C. Jaeger and Travis N. Blalock Answers to Selected Problems Updated 10/23/06 Chapter 1 1.3 1.52 years, 5.06 years 1.5 2.00 years, 6.65 years 1.8 113

More information

ECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there.

ECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there. ECE37B Final Exam There are 5 problems on this exam and you have 3 hours There are pages -9 in the exam: please make sure all are there. Do not open this exam until told to do so Show all work: Credit

More information

Lecture 120 Compensation of Op Amps-I (1/30/02) Page ECE Analog Integrated Circuit Design - II P.E. Allen

Lecture 120 Compensation of Op Amps-I (1/30/02) Page ECE Analog Integrated Circuit Design - II P.E. Allen Lecture 20 Compensation of Op AmpsI (/30/02) Page 20 LECTURE 20 COMPENSATION OF OP AMPS I (READING: GHLM 425434 and 624638, AH 249260) INTRODUCTION The objective of this presentation is to present the

More information

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder . W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder 8.1.7. The low-q approximation Given a second-order denominator polynomial, of the form G(s)= 1

More information

Solution: K m = R 1 = 10. From the original circuit, Z L1 = jωl 1 = j10 Ω. For the scaled circuit, L 1 = jk m ωl 1 = j10 10 = j100 Ω, Z L

Solution: K m = R 1 = 10. From the original circuit, Z L1 = jωl 1 = j10 Ω. For the scaled circuit, L 1 = jk m ωl 1 = j10 10 = j100 Ω, Z L Problem 9.9 Circuit (b) in Fig. P9.9 is a scaled version of circuit (a). The scaling process may have involved magnitude or frequency scaling, or both simultaneously. If R = kω gets scaled to R = kω, supply

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

Dynamic circuits: Frequency domain analysis

Dynamic circuits: Frequency domain analysis Electronic Circuits 1 Dynamic circuits: Contents Free oscillation and natural frequency Transfer functions Frequency response Bode plots 1 System behaviour: overview 2 System behaviour : review solution

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

Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University

Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University Common Drain Stage v gs v i - v o V DD v bs - v o R S Vv IN i v i G C gd C+C gd gb B&D v s vv OUT o + V S I B R L C L v gs - C

More information

Lecture 150 Simple BJT Op Amps (1/28/04) Page 150-1

Lecture 150 Simple BJT Op Amps (1/28/04) Page 150-1 Lecture 50 Simple BJT Op Amps (/28/04) Page 50 LECTURE 50 SIMPLE BJT OP AMPS (READING: TextGHLM 425434, 453454, AH 249253) INTRODUCTION The objective of this presentation is:.) Illustrate the analysis

More information

Lecture 23 - Frequency Resp onse of Amplifiers (I) Common-Source Amplifier. May 6, 2003

Lecture 23 - Frequency Resp onse of Amplifiers (I) Common-Source Amplifier. May 6, 2003 6.0 Microelectronic Devices and Circuits Spring 003 Lecture 3 Lecture 3 Frequency Resp onse of Amplifiers (I) CommonSource Amplifier May 6, 003 Contents:. Intro duction. Intrinsic frequency resp onse of

More information

ECE 6412, Spring Final Exam Page 1 FINAL EXAMINATION NAME SCORE /120

ECE 6412, Spring Final Exam Page 1 FINAL EXAMINATION NAME SCORE /120 ECE 6412, Spring 2002 Final Exam Page 1 FINAL EXAMINATION NAME SCORE /120 Problem 1O 2O 3 4 5 6 7 8 Score INSTRUCTIONS: This exam is closed book with four sheets of notes permitted. The exam consists of

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

3. Basic building blocks. Analog Design for CMOS VLSI Systems Franco Maloberti

3. Basic building blocks. Analog Design for CMOS VLSI Systems Franco Maloberti Inverter with active load It is the simplest gain stage. The dc gain is given by the slope of the transfer characteristics. Small signal analysis C = C gs + C gs,ov C 2 = C gd + C gd,ov + C 3 = C db +

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

ECE 255, Frequency Response

ECE 255, Frequency Response ECE 255, Frequency Response 19 April 2018 1 Introduction In this lecture, we address the frequency response of amplifiers. This was touched upon briefly in our previous lecture in Section 7.5 of the textbook.

More information

UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences E. Alon Final EECS 240 Monday, May 19, 2008 SPRING 2008 You should write your results on the exam

More information

ECE 6412, Spring Final Exam Page 1

ECE 6412, Spring Final Exam Page 1 ECE 64, Spring 005 Final Exam Page FINAL EXAMINATION SOLUTIONS (Average score = 89/00) Problem (0 points This problem is required) A comparator consists of an amplifier cascaded with a latch as shown below.

More information

6.012 Electronic Devices and Circuits Spring 2005

6.012 Electronic Devices and Circuits Spring 2005 6.012 Electronic Devices and Circuits Spring 2005 May 16, 2005 Final Exam (200 points) -OPEN BOOK- Problem NAME RECITATION TIME 1 2 3 4 5 Total General guidelines (please read carefully before starting):

More information

Lecture 010 ECE4430 Review I (12/29/01) Page 010-1

Lecture 010 ECE4430 Review I (12/29/01) Page 010-1 Lecture 010 4430 Review I (12/29/01) Page 0101 LTUR 010 4430 RVIW I (RAIN: HLM hap. 1) Objective The objective of this presentation is: 1.) Identify the prerequisite material as taught in 4430 2.) Insure

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

EE221 Circuits II. Chapter 14 Frequency Response

EE221 Circuits II. Chapter 14 Frequency Response EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active

More information

Electronic Devices and Circuits Lecture 18 - Single Transistor Amplifier Stages - Outline Announcements. Notes on Single Transistor Amplifiers

Electronic Devices and Circuits Lecture 18 - Single Transistor Amplifier Stages - Outline Announcements. Notes on Single Transistor Amplifiers 6.012 Electronic Devices and Circuits Lecture 18 Single Transistor Amplifier Stages Outline Announcements Handouts Lecture Outline and Summary Notes on Single Transistor Amplifiers Exam 2 Wednesday night,

More information

EE221 Circuits II. Chapter 14 Frequency Response

EE221 Circuits II. Chapter 14 Frequency Response EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active

More information

ECE-342 Test 3: Nov 30, :00-8:00, Closed Book. Name : Solution

ECE-342 Test 3: Nov 30, :00-8:00, Closed Book. Name : Solution ECE-342 Test 3: Nov 30, 2010 6:00-8:00, Closed Book Name : Solution All solutions must provide units as appropriate. Unless otherwise stated, assume T = 300 K. 1. (25 pts) Consider the amplifier shown

More information

6.301 Solid State Circuits Recitation 6: Bandwidth in Multistage Amplifiers Prof. Joel L. Dawson

6.301 Solid State Circuits Recitation 6: Bandwidth in Multistage Amplifiers Prof. Joel L. Dawson In the last recitation, we talked about managing the s and Cs, as well as the Miller Effect, to achieve high bandwidths. What I showed you were a couple of architectural tricks, namely the cascode and

More information

Electronics II. Midterm II

Electronics II. Midterm II The University of Toledo f4ms_elct7.fm - Section Electronics II Midterm II Problems Points. 7. 7 3. 6 Total 0 Was the exam fair? yes no The University of Toledo f4ms_elct7.fm - Problem 7 points Given in

More information

ECE 202 Fall 2013 Final Exam

ECE 202 Fall 2013 Final Exam ECE 202 Fall 2013 Final Exam December 12, 2013 Circle your division: Division 0101: Furgason (8:30 am) Division 0201: Bermel (9:30 am) Name (Last, First) Purdue ID # There are 18 multiple choice problems

More information

Chapter 5. BJT AC Analysis

Chapter 5. BJT AC Analysis Chapter 5. Outline: The r e transistor model CB, CE & CC AC analysis through r e model common-emitter fixed-bias voltage-divider bias emitter-bias & emitter-follower common-base configuration Transistor

More information

LECTURE 380 TWO-STAGE OPEN-LOOP COMPARATORS - II (READING: AH ) Trip Point of an Inverter

LECTURE 380 TWO-STAGE OPEN-LOOP COMPARATORS - II (READING: AH ) Trip Point of an Inverter Lecture 380 Two-Stage Open-Loop Comparators-II (4/5/02) Page 380-1 LECTURE 380 TWO-STAGE OPEN-LOOP COMPARATORS - II (READING: AH 445-461) Trip Point of an Inverter V DD In order to determine the propagation

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

V in (min) and V in (min) = (V OH -V OL ) dv out (0) dt = A p 1 V in = = 10 6 = 1V/µs

V in (min) and V in (min) = (V OH -V OL ) dv out (0) dt = A p 1 V in = = 10 6 = 1V/µs ECE 642, Spring 2003 - Final Exam Page FINAL EXAMINATION (ALLEN) - SOLUTION (Average Score = 9/20) Problem - (20 points - This problem is required) An open-loop comparator has a gain of 0 4, a dominant

More information

ESE319 Introduction to Microelectronics. Feedback Basics

ESE319 Introduction to Microelectronics. Feedback Basics Feedback Basics Stability Feedback concept Feedback in emitter follower One-pole feedback and root locus Frequency dependent feedback and root locus Gain and phase margins Conditions for closed loop stability

More information

Two-Port Networks Admittance Parameters CHAPTER16 THE LEARNING GOALS FOR THIS CHAPTER ARE THAT STUDENTS SHOULD BE ABLE TO:

Two-Port Networks Admittance Parameters CHAPTER16 THE LEARNING GOALS FOR THIS CHAPTER ARE THAT STUDENTS SHOULD BE ABLE TO: CHAPTER16 Two-Port Networks THE LEARNING GOALS FOR THIS CHAPTER ARE THAT STUDENTS SHOULD BE ABLE TO: Calculate the admittance, impedance, hybrid, and transmission parameter for two-port networks. Convert

More information

Chapter7. FET Biasing

Chapter7. FET Biasing Chapter7. J configurations Fixed biasing Self biasing & Common Gate Voltage divider MOS configurations Depletion-type Enhancement-type JFET: Fixed Biasing Example 7.1: As shown in the figure, it is the

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

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

Module 13: Network Analysis and Directional Couplers

Module 13: Network Analysis and Directional Couplers Module 13: Network Analysis and Directional Couplers 13.2 Network theory two port networks, S-parameters, Z-parameters, Y-parameters The study of two port networks is important in the field of electrical

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

ESE319 Introduction to Microelectronics Bode Plot Review High Frequency BJT Model

ESE319 Introduction to Microelectronics Bode Plot Review High Frequency BJT Model Bode Plot Review High Frequency BJT Model 1 Logarithmic Frequency Response Plots (Bode Plots) Generic form of frequency response rational polynomial, where we substitute jω for s: H s=k sm a m 1 s m 1

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

ECE 523/421 - Analog Electronics University of New Mexico Solutions Homework 3

ECE 523/421 - Analog Electronics University of New Mexico Solutions Homework 3 ECE 523/42 - Analog Electronics University of New Mexico Solutions Homework 3 Problem 7.90 Show that when ro is taken into account, the voltage gain of the source follower becomes G v v o v sig R L r o

More information

Lecture 310 Open-Loop Comparators (3/28/10) Page 310-1

Lecture 310 Open-Loop Comparators (3/28/10) Page 310-1 Lecture 310 Open-Loop Comparators (3/28/10) Page 310-1 LECTURE 310 OPEN-LOOP COMPARATORS LECTURE ORGANIZATION Outline Characterization of comparators Dominant pole, open-loop comparators Two-pole, open-loop

More information

Amplifiers, Source followers & Cascodes

Amplifiers, Source followers & Cascodes Amplifiers, Source followers & Cascodes Willy Sansen KULeuven, ESAT-MICAS Leuven, Belgium willy.sansen@esat.kuleuven.be Willy Sansen 0-05 02 Operational amplifier Differential pair v- : B v + Current mirror

More information

First and Second Order Circuits. Claudio Talarico, Gonzaga University Spring 2015

First and Second Order Circuits. Claudio Talarico, Gonzaga University Spring 2015 First and Second Order Circuits Claudio Talarico, Gonzaga University Spring 2015 Capacitors and Inductors intuition: bucket of charge q = Cv i = C dv dt Resist change of voltage DC open circuit Store voltage

More information

EE 330 Lecture 31. Current Source Biasing Current Sources and Mirrors

EE 330 Lecture 31. Current Source Biasing Current Sources and Mirrors EE 330 Lecture 31 urrent Source Biasing urrent Sources and Mirrors eview from Last Lecture Basic mplifier Gain Table DD DD DD DD in B E out in B E out E B BB in E out in B E E out in 2 D Q EE SS E/S /D

More information

Biasing the CE Amplifier

Biasing the CE Amplifier Biasing the CE Amplifier Graphical approach: plot I C as a function of the DC base-emitter voltage (note: normally plot vs. base current, so we must return to Ebers-Moll): I C I S e V BE V th I S e V th

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

ELECTRONIC SYSTEMS. Basic operational amplifier circuits. Electronic Systems - C3 13/05/ DDC Storey 1

ELECTRONIC SYSTEMS. Basic operational amplifier circuits. Electronic Systems - C3 13/05/ DDC Storey 1 Electronic Systems C3 3/05/2009 Politecnico di Torino ICT school Lesson C3 ELECTONIC SYSTEMS C OPEATIONAL AMPLIFIES C.3 Op Amp circuits» Application examples» Analysis of amplifier circuits» Single and

More information

University of Illinois at Chicago Spring ECE 412 Introduction to Filter Synthesis Homework #4 Solutions

University of Illinois at Chicago Spring ECE 412 Introduction to Filter Synthesis Homework #4 Solutions Problem 1 A Butterworth lowpass filter is to be designed having the loss specifications given below. The limits of the the design specifications are shown in the brick-wall characteristic shown in Figure

More information

Circle the one best answer for each question. Five points per question.

Circle the one best answer for each question. Five points per question. ID # NAME EE-255 EXAM 3 November 8, 2001 Instructor (circle one) Talavage Gray This exam consists of 16 multiple choice questions and one workout problem. Record all answers to the multiple choice questions

More information

Notes for course EE1.1 Circuit Analysis TOPIC 10 2-PORT CIRCUITS

Notes for course EE1.1 Circuit Analysis TOPIC 10 2-PORT CIRCUITS Objectives: Introduction Notes for course EE1.1 Circuit Analysis 4-5 Re-examination of 1-port sub-circuits Admittance parameters for -port circuits TOPIC 1 -PORT CIRCUITS Gain and port impedance from -port

More information

Electronics II. Midterm #1

Electronics II. Midterm #1 The University of Toledo EECS:3400 Electronics I su3ms_elct7.fm Section Electronics II Midterm # Problems Points. 5. 6 3. 9 Total 0 Was the exam fair? yes no The University of Toledo su3ms_elct7.fm Problem

More information

2nd-order filters. EE 230 second-order filters 1

2nd-order filters. EE 230 second-order filters 1 nd-order filters Second order filters: Have second order polynomials in the denominator of the transfer function, and can have zeroth-, first-, or second-order polyinomials in the numerator. Use two reactive

More information

Frequency Response. Re ve jφ e jωt ( ) where v is the amplitude and φ is the phase of the sinusoidal signal v(t). ve jφ

Frequency Response. Re ve jφ e jωt ( ) where v is the amplitude and φ is the phase of the sinusoidal signal v(t). ve jφ 27 Frequency Response Before starting, review phasor analysis, Bode plots... Key concept: small-signal models for amplifiers are linear and therefore, cosines and sines are solutions of the linear differential

More information

Stability of Operational amplifiers

Stability of Operational amplifiers Stability o Operational ampliiers Willy Sansen KULeuven, ESAT-MICAS Leuven, Belgium willy.sansen@esat.kuleuven.be Willy Sansen 0-05 05 Table o contents Use o operational ampliiers Stability o 2-stage opamp

More information

Electronics II. Midterm II

Electronics II. Midterm II The University of Toledo su7ms_elct7.fm - Electronics II Midterm II Problems Points. 7. 7 3. 6 Total 0 Was the exam fair? yes no The University of Toledo su7ms_elct7.fm - Problem 7 points Equation (-)

More information

Single-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers.

Single-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers. Single-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers. Objectives To analyze and understand STC circuits with

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

Lecture 11: J-FET and MOSFET

Lecture 11: J-FET and MOSFET ENE 311 Lecture 11: J-FET and MOSFET FETs vs. BJTs Similarities: Amplifiers Switching devices Impedance matching circuits Differences: FETs are voltage controlled devices. BJTs are current controlled devices.

More information

ESE319 Introduction to Microelectronics Common Emitter BJT Amplifier

ESE319 Introduction to Microelectronics Common Emitter BJT Amplifier Common Emitter BJT Amplifier 1 Adding a signal source to the single power supply bias amplifier R C R 1 R C V CC V CC V B R E R 2 R E Desired effect addition of bias and signal sources Starting point -

More information

EE 435. Lecture 16. Compensation of Feedback Amplifiers

EE 435. Lecture 16. Compensation of Feedback Amplifiers EE 435 Lecture 16 ompensation of Feedback Amplifiers . Review from last lecture. Basic Two-Stae Miller ompensated Op Amp DD M 3 M 4 M 5 OUT IN M 1 M IN L I T B M 7 B3 M 6 By inspection SS A o m1 o p 1

More information

LECTURE 21: Butterworh & Chebeyshev BP Filters. Part 1: Series and Parallel RLC Circuits On NOT Again

LECTURE 21: Butterworh & Chebeyshev BP Filters. Part 1: Series and Parallel RLC Circuits On NOT Again LECTURE : Butterworh & Chebeyshev BP Filters Part : Series and Parallel RLC Circuits On NOT Again. RLC Admittance/Impedance Transfer Functions EXAMPLE : Series RLC. H(s) I out (s) V in (s) Y in (s) R Ls

More information

Stability and Frequency Compensation

Stability and Frequency Compensation 類比電路設計 (3349) - 2004 Stability and Frequency ompensation hing-yuan Yang National hung-hsing University Department of Electrical Engineering Overview Reading B Razavi hapter 0 Introduction In this lecture,

More information

320-amp-models.tex Page 1 ECE 320. Amplifier Models. ECE Linear Active Circuit Design

320-amp-models.tex Page 1 ECE 320. Amplifier Models. ECE Linear Active Circuit Design 320ampmodels.tex Page 1 ECE 320 Amplifier Models ECE 320 Linear Active Circuit Design 320ampmodels.tex Page 2 2Port Networks A 2port network is any circiut with two pairs of wires connecting to the outside

More information