Example: Amplifier Distortion
|
|
- Phyllis Morrison
- 5 years ago
- Views:
Transcription
1 4/6/2011 Example Amplifier Ditortion 1/9 Example: Amplifier Ditortion Recall thi circuit from a previou handout: 15.0 R C =5 K v ( t) = v ( t) o R B =5 K β = 100 _ vi( t ) 58. R E =5 K CUS We found that the mall-ignal voltage gain i: A vo = vo ( t) 66.7 v ( t) = i
2 4/6/2011 Example Amplifier Ditortion 2/9 Say the input voltage to thi amplifier i: v ( t) = coωt i Q: What i the larget value that can take without producing a ditorted output? A: Well, we know that the mall-ignal output i: v ( t) = A v ( t) o vo i = 66.7 coωt BUT, thi i not the output voltage! The total output voltage i the um of the mall-ignal output voltage and the DC output voltage! Note for thi example, the DC output voltage i the DC collector voltage, and we recall we determined in an earlier handout that it value i: = = 10 Thu, the total output voltage i : C v( t) = vo( t) = coωt
3 4/6/2011 Example Amplifier Ditortion 3/9 It i very important that you realize there i a limit on both how high and how low the total output voltage v ( t ) can go! That right! If the total output voltage v ( t ) trie to exceed thee limit even for a moment the BJT will leave the active mode. And leaving the active mode reult in ignal ditortion!
4 4/6/2011 Example Amplifier Ditortion 4/9 Let break the problem down into two eparate problem: 1) If total output voltage v ( t ) become too mall, the BJT will enter aturation. 2) If total output voltage v ( t ) become too large, the BJT will enter cutoff. We ll firt conider problem 1. For the BJT to remain in active mode, vce ( t ) mut remain greater than 0.7 for all time t (or equivalently vcb( t ) > 0.0). From an earlier handout, we know that E = The large capacitor on the emitter keep thi voltage contant with repect to time. Therefore, the voltage vce ( t ) will remain greater than 0.7 only if the collector voltage vc ( t ) remain greater than = Note 5.75 i the bae voltage B. f coure, the collector voltage i alo the output voltage ( v( t) = vc( t) ), o that we can conclude that the output voltage mut remain larger than B =5.75 to remain in active mode:
5 4/6/2011 Example Amplifier Ditortion 5/ < v ( t) = coωt In other word, the lower limit on the total output voltage i: L = 5.75 Note that we can olve thi equation to determine the maximum value of mall-ignal input magnitude : 5.75 < coωt 66.7 coωt < 4.25 coωt < Since coωt can be a large a 1.0, we find that the magnitude of the input voltage can be no larger than 64 m, i.e., < If the input magnitude exceed thi value, the BJT will (momentarily) leave the active region and enter the aturation mode! Now let conider problem 2 For the BJT to remain in active mode, the collector current mut be greater than zero (i.e., i C > 0). therwie, the BJT will enter cutoff mode. Applying hm Law to the collector reitor, we find the collector current i:
6 4/6/2011 Example Amplifier Ditortion 6/9 i C v 15 v = = R 5 CC C it i evident that collector current i poitive only if v < 15. In other word, the upper limit on the total output voltage i: Since: L = 15.0 v ( t) = coωt we can conclude that in order for the BJT to remain in active mode: coωt > 15.0 Therefore, we find: 5.0 coωt > = Since coωt 1, the above equation mean that the input ignal magnitude can be no larger than: < 75 m If the input magnitude exceed 75 m, the BJT will (momentarily) leave the active region and enter the cutoff region!
7 4/6/2011 Example Amplifier Ditortion 7/9 In ummary: 1) If > 64 m, the BJT will at time enter aturation, and ditortion will occur! 2) If > 75 m, the BJT will at time enter cutoff, and even more ditortion will occur! To demontrate thi, let conider three example: 1. < 64 m The output ignal in thi cae remain between CC =15.0 and B =5.75 for all time t. Therefore, the output ignal i not ditorted. L = = CC 15 v ( t ) = 10 L = = B 5.75 t m < < 75 m
8 4/6/2011 Example Amplifier Ditortion 8/9 The output ignal in thi cae remain le than CC =15.0 for all time t. However, the mall-ignal output i now large enough o that the total output voltage at time trie to drop below B = 5.75 (i.e., CE drop below 0.7 ). For thee time, the BJT will enter aturation, and the output ignal will be ditorted. L = = CC 15 v ( t ) = 10 L = = B > 75 m In thi cae, the mall-ignal input ignal i ufficiently large o that the total output will attempt to exceed both limit (i.e., CC = 15.0 and B = 5.75 ). Therefore, there are period of time when the BJT will be in cutoff, and period when the BJT will be in aturation. t
9 4/6/2011 Example Amplifier Ditortion 9/9 L = = CC 15 v ( t ) = 10 L = = B 5.75 t For a given amplifier voltage gain, you mut determine the larget poible input vi ( t ) that will produce a ditortion-free output ignal. To do thi, you mut determine the limit of the total output voltage. There will be two limit one for aturation (L - ) and one for cutoff (L ).
SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuits II. Solutions to Assignment 3 February 2005.
SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuit II Solution to Aignment 3 February 2005. Initial Condition Source 0 V battery witch flip at t 0 find i 3 (t) Component value:
More informationQuestion 1 Equivalent Circuits
MAE 40 inear ircuit Fall 2007 Final Intruction ) Thi exam i open book You may ue whatever written material you chooe, including your cla note and textbook You may ue a hand calculator with no communication
More informationMoment of Inertia of an Equilateral Triangle with Pivot at one Vertex
oment of nertia of an Equilateral Triangle with Pivot at one Vertex There are two wa (at leat) to derive the expreion f an equilateral triangle that i rotated about one vertex, and ll how ou both here.
More informationIII.9. THE HYSTERESIS CYCLE OF FERROELECTRIC SUBSTANCES
III.9. THE HYSTERESIS CYCLE OF FERROELECTRIC SBSTANCES. Work purpoe The analyi of the behaviour of a ferroelectric ubtance placed in an eternal electric field; the dependence of the electrical polariation
More information11.2 Stability. A gain element is an active device. One potential problem with every active circuit is its stability
5/7/2007 11_2 tability 1/2 112 tability eading Aignment: pp 542-548 A gain element i an active device One potential problem with every active circuit i it tability HO: TABIITY Jim tile The Univ of Kana
More informationMAE140 Linear Circuits Fall 2012 Final, December 13th
MAE40 Linear Circuit Fall 202 Final, December 3th Intruction. Thi exam i open book. You may ue whatever written material you chooe, including your cla note and textbook. You may ue a hand calculator with
More informationFilter Dispersion. with respect to frequency otherwise signal dispersion (and thus signal distortion) will result. Right?
3/1/005 Filter Diperion.doc 1/6 Filter Diperion Any ignal that carrie ignificant information mut ha ome non-zero bandwidth. In other word, the ignal energy (a well a the information it carrie) i pread
More informationPhysics 741 Graduate Quantum Mechanics 1 Solutions to Final Exam, Fall 2014
Phyic 7 Graduate Quantum Mechanic Solution to inal Eam all 0 Each quetion i worth 5 point with point for each part marked eparately Some poibly ueful formula appear at the end of the tet In four dimenion
More informationIntroduction to Laplace Transform Techniques in Circuit Analysis
Unit 6 Introduction to Laplace Tranform Technique in Circuit Analyi In thi unit we conider the application of Laplace Tranform to circuit analyi. A relevant dicuion of the one-ided Laplace tranform i found
More informationThe Electric Potential Energy
Lecture 6 Chapter 28 Phyic II The Electric Potential Energy Coure webite: http://aculty.uml.edu/andriy_danylov/teaching/phyicii New Idea So ar, we ued vector quantitie: 1. Electric Force (F) Depreed! 2.
More informationLecture 12 - Non-isolated DC-DC Buck Converter
ecture 12 - Non-iolated DC-DC Buck Converter Step-Down or Buck converter deliver DC power from a higher voltage DC level ( d ) to a lower load voltage o. d o ene ref + o v c Controller Figure 12.1 The
More information55:041 Electronic Circuits
55:04 Electronic ircuit Frequency epone hapter 7 A. Kruger Frequency epone- ee page 4-5 of the Prologue in the text Important eview co Thi lead to the concept of phaor we encountered in ircuit In Linear
More informationGiven the following circuit with unknown initial capacitor voltage v(0): X(s) Immediately, we know that the transfer function H(s) is
EE 4G Note: Chapter 6 Intructor: Cheung More about ZSR and ZIR. Finding unknown initial condition: Given the following circuit with unknown initial capacitor voltage v0: F v0/ / Input xt 0Ω Output yt -
More informationLinear Motion, Speed & Velocity
Add Important Linear Motion, Speed & Velocity Page: 136 Linear Motion, Speed & Velocity NGSS Standard: N/A MA Curriculum Framework (006): 1.1, 1. AP Phyic 1 Learning Objective: 3.A.1.1, 3.A.1.3 Knowledge/Undertanding
More informationChapter 17 Amplifier Frequency Response
hapter 7 Amplifier Frequency epone Microelectronic ircuit Deign ichard. Jaeger Travi N. Blalock 8/0/0 hap 7- hapter Goal eview tranfer function analyi and dominant-pole approximation of amplifier tranfer
More informationEE 321 Analog Electronics, Fall 2013 Homework #8 solution
EE 321 Analog Electronics, Fall 2013 Homework #8 solution 5.110. The following table summarizes some of the basic attributes of a number of BJTs of different types, operating as amplifiers under various
More informationEECS2200 Electric Circuits. RLC Circuit Natural and Step Responses
5--4 EECS Electric Circuit Chapter 6 R Circuit Natural and Step Repone Objective Determine the repone form of the circuit Natural repone parallel R circuit Natural repone erie R circuit Step repone of
More informationLiquid cooling
SKiiPPACK no. 3 4 [ 1- exp (-t/ τ )] + [( P + P )/P ] R [ 1- exp (-t/ τ )] Z tha tot3 = R ν ν tot1 tot tot3 thaa-3 aa 3 ν= 1 3.3.6. Liquid cooling The following table contain the characteritic R ν and
More informationChapter 2 Sampling and Quantization. In order to investigate sampling and quantization, the difference between analog
Chapter Sampling and Quantization.1 Analog and Digital Signal In order to invetigate ampling and quantization, the difference between analog and digital ignal mut be undertood. Analog ignal conit of continuou
More informationChapter 19. Capacitors, Resistors and Batteries
Chapter 19 Capacitor, Reitor and Batterie Capacitor: Charging and Dicharging Experiment 1 Experiment 2 Capacitor: Contruction and Symbol The capacitor in your et i imilar to a large two-dik capacitor D
More informationSupplementary Figures
Supplementary Figure Supplementary Figure S1: Extraction of the SOF. The tandard deviation of meaured V xy at aturated tate (between 2.4 ka/m and 12 ka/m), V 2 d Vxy( H, j, hm ) Vxy( H, j, hm ) 2. The
More information1. The F-test for Equality of Two Variances
. The F-tet for Equality of Two Variance Previouly we've learned how to tet whether two population mean are equal, uing data from two independent ample. We can alo tet whether two population variance are
More informationESE319 Introduction to Microelectronics. BJT Biasing Cont.
BJT Biasing Cont. Biasing for DC Operating Point Stability BJT Bias Using Emitter Negative Feedback Single Supply BJT Bias Scheme Constant Current BJT Bias Scheme Rule of Thumb BJT Bias Design 1 Simple
More informationinto a discrete time function. Recall that the table of Laplace/z-transforms is constructed by (i) selecting to get
Lecture 25 Introduction to Some Matlab c2d Code in Relation to Sampled Sytem here are many way to convert a continuou time function, { h( t) ; t [0, )} into a dicrete time function { h ( k) ; k {0,,, }}
More informationThe Operational Amplifier
The Operational Amplifier The operational amplifier i a building block of modern electronic intrumentation. Therefore, matery of operational amplifier fundamental i paramount to any practical application
More informationCorrection for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002
Correction for Simple Sytem Example and Note on Laplace Tranform / Deviation Variable ECHE 55 Fall 22 Conider a tank draining from an initial height of h o at time t =. With no flow into the tank (F in
More informationEE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject
EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation
More informationThe Measurement of DC Voltage Signal Using the UTI
he Meaurement of DC Voltage Signal Uing the. INRODUCION can er an interface for many paive ening element, uch a, capacitor, reitor, reitive bridge and reitive potentiometer. By uing ome eternal component,
More informationBogoliubov Transformation in Classical Mechanics
Bogoliubov Tranformation in Claical Mechanic Canonical Tranformation Suppoe we have a et of complex canonical variable, {a j }, and would like to conider another et of variable, {b }, b b ({a j }). How
More informationGeneral Topology of a single stage microwave amplifier
General Topology of a ingle tage microwave amplifier Tak of MATCH network (in and out): To preent at the active device uitable impedance Z and Z S Deign Step The deign of a mall ignal microwave amplifier
More informationEE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject
EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation
More informationLecture 15 - Current. A Puzzle... Advanced Section: Image Charge for Spheres. Image Charge for a Grounded Spherical Shell
Lecture 15 - Current Puzzle... Suppoe an infinite grounded conducting plane lie at z = 0. charge q i located at a height h above the conducting plane. Show in three different way that the potential below
More informationSIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuits II. R 4 := 100 kohm
SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuit II Solution to Aignment 3 February 2003. Cacaded Op Amp [DC&L, problem 4.29] An ideal op amp ha an output impedance of zero,
More informationPHYS 110B - HW #2 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased
PHYS 11B - HW # Spring 4, Solution by David Pace Any referenced equation are from Griffith Problem tatement are paraphraed [1.] Problem 7. from Griffith A capacitor capacitance, C i charged to potential
More informationFeedback Control Systems (FCS)
Feedback Control Sytem (FCS) Lecture19-20 Routh-Herwitz Stability Criterion Dr. Imtiaz Huain email: imtiaz.huain@faculty.muet.edu.pk URL :http://imtiazhuainkalwar.weebly.com/ Stability of Higher Order
More informationChapter 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 informationJunction Bipolar Transistor. Characteristics Models Datasheet
Junction Bipolar Transistor Characteristics Models Datasheet Characteristics (1) The BJT is a threeterminal device, terminals are named emitter, base and collector. Small signals, applied to the base,
More information1 Routh Array: 15 points
EE C28 / ME34 Problem Set 3 Solution Fall 2 Routh Array: 5 point Conider the ytem below, with D() k(+), w(t), G() +2, and H y() 2 ++2 2(+). Find the cloed loop tranfer function Y () R(), and range of k
More informationR L R L L sl C L 1 sc
2260 N. Cotter PRACTICE FINAL EXAM SOLUTION: Prob 3 3. (50 point) u(t) V i(t) L - R v(t) C - The initial energy tored in the circuit i zero. 500 Ω L 200 mh a. Chooe value of R and C to accomplih the following:
More informationLaplace Transformation
Univerity of Technology Electromechanical Department Energy Branch Advance Mathematic Laplace Tranformation nd Cla Lecture 6 Page of 7 Laplace Tranformation Definition Suppoe that f(t) i a piecewie continuou
More informationKOM2751 Analog Electronics :: Dr. Muharrem Mercimek :: YTU - Control and Automation Dept. 1 4 DC BIASING BJTS (CONT D II )
KOM2751 Analog Electronics :: Dr. Muharrem Mercimek :: YTU - Control and Automation Dept. 1 4 DC BIASING BJTS (CONT D II ) Most of the content is from the textbook: Electronic devices and circuit theory,
More informationFUNDAMENTALS OF POWER SYSTEMS
1 FUNDAMENTALS OF POWER SYSTEMS 1 Chapter FUNDAMENTALS OF POWER SYSTEMS INTRODUCTION The three baic element of electrical engineering are reitor, inductor and capacitor. The reitor conume ohmic or diipative
More informationThe Common-Emitter Amplifier
c Copyright 2009. W. Marshall Leach, Jr., Professor, Georgia Institute of Technology, School of Electrical and Computer Engineering. The Common-Emitter Amplifier Basic Circuit Fig. shows the circuit diagram
More informationSAMPLING. Sampling is the acquisition of a continuous signal at discrete time intervals and is a fundamental concept in real-time signal processing.
SAMPLING Sampling i the acquiition of a continuou ignal at dicrete time interval and i a fundamental concept in real-time ignal proceing. he actual ampling operation can alo be defined by the figure belo
More informationEE C128 / ME C134 Problem Set 1 Solution (Fall 2010) Wenjie Chen and Jansen Sheng, UC Berkeley
EE C28 / ME C34 Problem Set Solution (Fall 200) Wenjie Chen and Janen Sheng, UC Berkeley. (0 pt) BIBO tability The ytem h(t) = co(t)u(t) i not BIBO table. What i the region of convergence for H()? A bounded
More information4-4 E-field Calculations using Coulomb s Law
1/21/24 ection 4_4 -field calculation uing Coulomb Law blank.doc 1/1 4-4 -field Calculation uing Coulomb Law Reading Aignment: pp. 9-98 1. xample: The Uniform, Infinite Line Charge 2. xample: The Uniform
More informationMain Topics: The Past, H(s): Poles, zeros, s-plane, and stability; Decomposition of the complete response.
EE202 HOMEWORK PROBLEMS SPRING 18 TO THE STUDENT: ALWAYS CHECK THE ERRATA on the web. Quote for your Parent' Partie: 1. Only with nodal analyi i the ret of the emeter a poibility. Ray DeCarlo 2. (The need
More informationLecture 7: Testing Distributions
CSE 5: Sublinear (and Streaming) Algorithm Spring 014 Lecture 7: Teting Ditribution April 1, 014 Lecturer: Paul Beame Scribe: Paul Beame 1 Teting Uniformity of Ditribution We return today to property teting
More informationSolving Differential Equations by the Laplace Transform and by Numerical Methods
36CH_PHCalter_TechMath_95099 3//007 :8 PM Page Solving Differential Equation by the Laplace Tranform and by Numerical Method OBJECTIVES When you have completed thi chapter, you hould be able to: Find the
More informationEE105 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 informationSolutions to homework #10
Solution to homework #0 Problem 7..3 Compute 6 e 3 t t t 8. The firt tep i to ue the linearity of the Laplace tranform to ditribute the tranform over the um and pull the contant factor outide the tranform.
More informationESE319 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 informationLinearteam tech paper. The analysis of fourth-order state variable filter and it s application to Linkwitz- Riley filters
Linearteam tech paper The analyi of fourth-order tate variable filter and it application to Linkwitz- iley filter Janne honen 5.. TBLE OF CONTENTS. NTOCTON.... FOTH-OE LNWTZ-LEY (L TNSFE FNCTON.... TNSFE
More informationBJT Biasing Cont. & Small Signal Model
BJT Biasing Cont. & Small Signal Model Conservative Bias Design (1/3, 1/3, 1/3 Rule) Bias Design Example Small-Signal BJT Models Small-Signal Analysis 1 Emitter Feedback Bias Design R B R C V CC R 1 R
More informationBASIC INDUCTION MOTOR CONCEPTS
INDUCTION MOTOS An induction motor ha the ame phyical tator a a ynchronou machine, with a different rotor contruction. There are two different type of induction motor rotor which can be placed inide the
More informationECE 3510 Root Locus Design Examples. PI To eliminate steady-state error (for constant inputs) & perfect rejection of constant disturbances
ECE 350 Root Locu Deign Example Recall the imple crude ervo from lab G( ) 0 6.64 53.78 σ = = 3 23.473 PI To eliminate teady-tate error (for contant input) & perfect reection of contant diturbance Note:
More informationFigure 1 Basic epitaxial planar structure of NPN. Figure 2 The 3 regions of NPN (left) and PNP (right) type of transistors
Figure 1 Basic epitaxial planar structure of NPN Figure 2 The 3 regions of NPN (left) and PNP (right) type of transistors Lecture Notes: 2304154 Physics and Electronics Lecture 6 (2 nd Half), Year: 2007
More informationConvex Hulls of Curves Sam Burton
Convex Hull of Curve Sam Burton 1 Introduction Thi paper will primarily be concerned with determining the face of convex hull of curve of the form C = {(t, t a, t b ) t [ 1, 1]}, a < b N in R 3. We hall
More informationModeling in the Frequency Domain
T W O Modeling in the Frequency Domain SOLUTIONS TO CASE STUDIES CHALLENGES Antenna Control: Tranfer Function Finding each tranfer function: Pot: V i θ i 0 π ; Pre-Amp: V p V i K; Power Amp: E a V p 50
More informationNonlinear Single-Particle Dynamics in High Energy Accelerators
Nonlinear Single-Particle Dynamic in High Energy Accelerator Part 6: Canonical Perturbation Theory Nonlinear Single-Particle Dynamic in High Energy Accelerator Thi coure conit of eight lecture: 1. Introduction
More informationRaneNote BESSEL FILTER CROSSOVER
RaneNote BESSEL FILTER CROSSOVER A Beel Filter Croover, and It Relation to Other Croover Beel Function Phae Shift Group Delay Beel, 3dB Down Introduction One of the way that a croover may be contructed
More informationECE-202 FINAL December 13, 2016 CIRCLE YOUR DIVISION
ECE-202 Final, Fall 16 1 ECE-202 FINAL December 13, 2016 Name: (Pleae print clearly.) Student Email: CIRCLE YOUR DIVISION DeCarlo- 8:30-9:30 Talavage-9:30-10:30 2021 2022 INSTRUCTIONS There are 35 multiple
More informationMarch 18, 2014 Academic Year 2013/14
POLITONG - SHANGHAI BASIC AUTOMATIC CONTROL Exam grade March 8, 4 Academic Year 3/4 NAME (Pinyin/Italian)... STUDENT ID Ue only thee page (including the back) for anwer. Do not ue additional heet. Ue of
More informationSERIES COMPENSATION: VOLTAGE COMPENSATION USING DVR (Lectures 41-48)
Chapter 5 SERIES COMPENSATION: VOLTAGE COMPENSATION USING DVR (Lecture 41-48) 5.1 Introduction Power ytem hould enure good quality of electric power upply, which mean voltage and current waveform hould
More informationa = f s,max /m = s g. 4. We first analyze the forces on the pig of mass m. The incline angle is.
Chapter 6 1. The greatet deceleration (of magnitude a) i provided by the maximum friction force (Eq. 6-1, with = mg in thi cae). Uing ewton econd law, we find a = f,max /m = g. Eq. -16 then give the hortet
More informationECE382/ME482 Spring 2004 Homework 4 Solution November 14,
ECE382/ME482 Spring 2004 Homework 4 Solution November 14, 2005 1 Solution to HW4 AP4.3 Intead of a contant or tep reference input, we are given, in thi problem, a more complicated reference path, r(t)
More informationAppendix. Proof of relation (3) for α 0.05.
Appendi. Proof of relation 3 for α.5. For the argument, we will need the following reult that follow from Lemma 1 Bakirov 1989 and it proof. Lemma 1 Let g,, 1 be a continuouly differentiable function uch
More information(b) Is the game below solvable by iterated strict dominance? Does it have a unique Nash equilibrium?
14.1 Final Exam Anwer all quetion. You have 3 hour in which to complete the exam. 1. (60 Minute 40 Point) Anwer each of the following ubquetion briefly. Pleae how your calculation and provide rough explanation
More informationDesign By Emulation (Indirect Method)
Deign By Emulation (Indirect Method he baic trategy here i, that Given a continuou tranfer function, it i required to find the bet dicrete equivalent uch that the ignal produced by paing an input ignal
More informationElectronics 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 informationChapter 10 Transistor amplifier design
hapter 0 Tranitor amplifier dein 0. tability conideration unconditionally table conditionally table tability factor ource tability circle load tability circle 0. mplifier dein for maximum ain unilateral
More informationAdder Circuits Ivor Page 1
Adder Circuit Adder Circuit Ivor Page 4. The Ripple Carr Adder The ripple carr adder i probabl the implet parallel binar adder. It i made up of k full-adder tage, where each full-adder can be convenientl
More informationUnavoidable Cycles in Polynomial-Based Time-Invariant LDPC Convolutional Codes
European Wirele, April 7-9,, Vienna, Autria ISBN 978--87-4-9 VE VERLAG GMBH Unavoidable Cycle in Polynomial-Baed Time-Invariant LPC Convolutional Code Hua Zhou and Norbert Goertz Intitute of Telecommunication
More informationBipolar Junction Transistor (BJT) - Introduction
Bipolar Junction Transistor (BJT) - Introduction It was found in 1948 at the Bell Telephone Laboratories. It is a three terminal device and has three semiconductor regions. It can be used in signal amplification
More informationBiasing 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 informationCHAPTER 5. The Operational Amplifier 1
EECE22 NETWORK ANALYSIS I Dr. Charle J. Kim Cla Note 9: Oerational Amlifier (OP Am) CHAPTER. The Oerational Amlifier A. INTRODUCTION. The oerational amlifier or o am for hort, i a eratile circuit building
More informationOn Stability of Electronic Circuits
roceeding of the th WSAS International Conference on CIUITS On Stability of lectronic Circuit HASSAN FATHABADI lectrical ngineering Department Azad Univerity (South Tehran Branch) Tehran, IAN h4477@hotmailcom
More informationPHYS 110B - HW #6 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased
PHYS B - HW #6 Spring 4, Solution by David Pace Any referenced equation are from Griffith Problem tatement are paraphraed. Problem. from Griffith Show that the following, A µo ɛ o A V + A ρ ɛ o Eq..4 A
More informationUnified Design Method for Flexure and Debonding in FRP Retrofitted RC Beams
Unified Deign Method for Flexure and Debonding in FRP Retrofitted RC Beam G.X. Guan, Ph.D. 1 ; and C.J. Burgoyne 2 Abtract Flexural retrofitting of reinforced concrete (RC) beam uing fibre reinforced polymer
More informationMath 201 Lecture 17: Discontinuous and Periodic Functions
Math 2 Lecture 7: Dicontinuou and Periodic Function Feb. 5, 22 Many example here are taken from the textbook. he firt number in () refer to the problem number in the UA Cutom edition, the econd number
More information1 Bertrand duopoly with incomplete information
Game Theory Solution to Problem Set 5 1 Bertrand duopoly ith incomplete information The game i de ned by I = f1; g ; et of player A i = [0; 1) T i = fb L ; b H g, ith p(b L ) = u i (b i ; p i ; p j ) =
More informationSection Induction motor drives
Section 5.1 - nduction motor drive Electric Drive Sytem 5.1.1. ntroduction he AC induction motor i by far the mot widely ued motor in the indutry. raditionally, it ha been ued in contant and lowly variable-peed
More information7. DESIGN OF AC-COUPLED BJT AMPLIFIERS FOR MAXIMUM UNDISTORTED VOLTAGE SWING
à 7. DESIGN OF AC-COUPLED BJT AMPLIFIERS FOR MAXIMUM UNDISTORTED VOLTAGE SWING Figure. AC coupled common emitter amplifier circuit ü The DC Load Line V CC = I CQ + V CEQ + R E I EQ I EQ = I CQ + I BQ I
More informationLecture 21. The Lovasz splitting-off lemma Topics in Combinatorial Optimization April 29th, 2004
18.997 Topic in Combinatorial Optimization April 29th, 2004 Lecture 21 Lecturer: Michel X. Goeman Scribe: Mohammad Mahdian 1 The Lovaz plitting-off lemma Lovaz plitting-off lemma tate the following. Theorem
More informationv 2,p = v 3,p. The total energy at P is then mv 2 p = 6.68mv 2 p 4.49Gm2 d. (3) P 2 O 3 r o Gm = v2 p d2 P 3
Nordic-Baltic hyic Olympiad 08 Solution GRAVITATIONAL RACING i) a) Since all three bodie move along the ame trajectory, they mut be T 3 away from each other at any moment of time Thu, it take T 3 to get
More informationLecture 17: Frequency Response of Amplifiers
ecture 7: Frequency epone of Aplifier Gu-Yeon Wei Diiion of Engineering and Applied Science Harard Unierity guyeon@eec.harard.edu Wei Oeriew eading S&S: Chapter 7 Ski ection ince otly decribed uing BJT
More informationBJT Biasing Cont. & Small Signal Model
BJT Biasing Cont. & Small Signal Model Conservative Bias Design Bias Design Example Small Signal BJT Models Small Signal Analysis 1 Emitter Feedback Bias Design Voltage bias circuit Single power supply
More informationHybrid Projective Dislocated Synchronization of Liu Chaotic System Based on Parameters Identification
www.ccenet.org/ma Modern Applied Science Vol. 6, No. ; February Hybrid Projective Dilocated Synchronization of Liu Chaotic Sytem Baed on Parameter Identification Yanfei Chen College of Science, Guilin
More information5. NON-LINER BLOCKS Non-linear standard blocks
5. NON-LINER BLOCKS In previou chapter continuou tem or tem where to the change of the input a change of the output correponded, which in the whole range of the ignal value could be expreed b one equation,
More informationSection 1: Common Emitter CE Amplifier Design
ECE 3274 BJT amplifier design CE, CE with Ref, and CC. Richard Cooper Section 1: CE amp Re completely bypassed (open Loop) Section 2: CE amp Re partially bypassed (gain controlled). Section 3: CC amp (open
More informationExercises for lectures 19 Polynomial methods
Exercie for lecture 19 Polynomial method Michael Šebek Automatic control 016 15-4-17 Diviion of polynomial with and without remainder Polynomial form a circle, but not a body. (Circle alo form integer,
More informationAn Interesting Property of Hyperbolic Paraboloids
Page v w Conider the generic hyperbolic paraboloid defined by the equation. u = where a and b are aumed a b poitive. For our purpoe u, v and w are a permutation of x, y, and z. A typical graph of uch a
More informationV = 4 3 πr3. d dt V = d ( 4 dv dt. = 4 3 π d dt r3 dv π 3r2 dv. dt = 4πr 2 dr
0.1 Related Rate In many phyical ituation we have a relationhip between multiple quantitie, and we know the rate at which one of the quantitie i changing. Oftentime we can ue thi relationhip a a convenient
More informationDelhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:
Serial : LS_B_EC_Network Theory_0098 CLASS TEST (GATE) Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubanewar Kolkata Patna Web: E-mail: info@madeeay.in Ph: 0-4546 CLASS TEST 08-9 ELECTRONCS
More informationSampling and the Discrete Fourier Transform
Sampling and the Dicrete Fourier Tranform Sampling Method Sampling i mot commonly done with two device, the ample-and-hold (S/H) and the analog-to-digital-converter (ADC) The S/H acquire a CT ignal at
More informationFinding the location of switched capacitor banks in distribution systems based on wavelet transform
UPEC00 3t Aug - 3rd Sept 00 Finding the location of witched capacitor bank in ditribution ytem baed on wavelet tranform Bahram nohad Shahid Chamran Univerity in Ahvaz bahramnohad@yahoo.com Mehrdad keramatzadeh
More informationonline learning Unit Workbook 4 RLC Transients
online learning Pearon BTC Higher National in lectrical and lectronic ngineering (QCF) Unit 5: lectrical & lectronic Principle Unit Workbook 4 in a erie of 4 for thi unit Learning Outcome: RLC Tranient
More informationSECTION x2 x > 0, t > 0, (8.19a)
SECTION 8.5 433 8.5 Application of aplace Tranform to Partial Differential Equation In Section 8.2 and 8.3 we illutrated the effective ue of aplace tranform in olving ordinary differential equation. The
More informationHIGHER-ORDER FILTERS. Cascade of Biquad Filters. Follow the Leader Feedback Filters (FLF) ELEN 622 (ESS)
HIGHER-ORDER FILTERS Cacade of Biquad Filter Follow the Leader Feedbac Filter (FLF) ELEN 6 (ESS) Than for ome of the material to David Hernandez Garduño CASCADE FILTER DESIGN N H ( ) Π H ( ) H ( ) H (
More informationCS 170: Midterm Exam II University of California at Berkeley Department of Electrical Engineering and Computer Sciences Computer Science Division
1 1 April 000 Demmel / Shewchuk CS 170: Midterm Exam II Univerity of California at Berkeley Department of Electrical Engineering and Computer Science Computer Science Diviion hi i a cloed book, cloed calculator,
More information