# GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM. COURSE: ECE 3084A (Prof. Michaels)

Size: px
Start display at page:

Download "GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM. COURSE: ECE 3084A (Prof. Michaels)"

Transcription

1 GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 30-Apr-14 COURSE: ECE 3084A (Prof. Michaels) NAME: STUDENT #: LAST, FIRST Write your name on the front page ONLY. Do not unstaple the test. You should have an additional sheet with Fourier transform tables on one side and Laplace transform tables on the other. You may use a calculator, but no laptops, phones, or other electronic devices are allowed. Keep the tables clear of all back backs, books, etc. This is a closed book exam. However, two pages ( ) of HAND-WRITTEN notes are permitted. It s OK to write on both sides. Unless stated otherwise, justify your reasoning clearly to receive any partial credit. You must write your answer in the space provided on the exam paper itself. Only these answers will be graded. Circle your answers, or write them in the boxes provided. If space is needed for scratch work, use the backs of previous pages. The room is small for the number of students in this section. BE CAREFUL TO NOT LET YOUR EYES WANDER. Any sort of communication with your fellow students during this exam is strictly forbidden. Any attempt to read off of your neighbor s exam will result in unpleasant disciplinary action. Please sign the following statement: One or more students will be taking the final at a later time, and I will not discuss its contents with anyone until the solutions are posted. I understand that if I do, it is a violation of the student honor code. Signature: Problem Value Score Total 200 1

2 Problem F.1: (5 pts each) Short problem assortment. The six parts of this problem are unrelated to each other. (a) Consider the system with input x(t) and output y(t) described by the equation y(t) = x(2t). Circle yes or no in each row of the table below to indicate whether or not this system is linear, time-invariant, and/or causal. Linear yes no Time-Invariant yes no Causal yes no (b) Consider the signal x(t) = t[u(t) u(t 1)]. Sketch x(t), x( t + 1), and x(2t 5) in the space provided below. (c) Simplify the following expression as much as possible: d cos(πt)[u(t) u(t 2)] = dt 2

3 (d) Simplify the following expression as much as possible: t τ 3 [δ(τ + 1) + δ(τ 2)]dτ = (e) Find X(jω), the Fourier transform of x(t) = e t. (f) Find and sketch x(t), the inverse Fourier transform of X(jω) = 4 sin2 (ω/2) ω 2. 3

4 Problem F.2: (10 points each) Consider the convolution y(t) = x(t) h(t). For each part, x(t) and h(t) are given. Sketch x(t), h(t), and y(t) in the space provided with correct labels for all axes. You do not have to provide equations for your answers since you may be able to do some or all of these by inspection. (a) x(t) = u(t) and h(t) = u(t 2) (b) x(t) = 3δ(t) + 2δ(t 1) + δ(t 2) and h(t) = δ(t) δ(t 5) 4

5 (c) x(t) = u(t 1) u(t 2) and h(t) = 2[u(t) u(t 4)] (d) x(t) = u(t) u(t 1) and h(t) = sin(2πt)u(t) 5

6 Problem F.3: This problem considers sampling and reconstruction as shown in the figure below where x(t) is the signal being sampled, p(t) = δ(t nt s ) is an impulse train, H(jω) is an ideal low pass n= filter with cutoff frequency ω s /2 and gain T s, and x r (t) is the reconstructed signal. For all parts of this problem the input is the periodic signal x(t) = cos(ω 0 t) cos(3ω 0 t), and the fundamental frequency f 0 = ω 0 /(2π) is 196 Hz. This signal is a (poorly) synthesized version of a fictitious musical instrument playing the note G below middle C. x(t) x s (t) Low Pass Filter H(jω) x r (t) p(t) (a) (10 pts) Find and accurately sketch X(jω), the Fourier transform of x(t), as a function of f = ω/2π. (b) (5 pts) For what choices of sampling frequency f s will x r (t) = x(t)? 6

7 (c) (10 pts) Now let the sampling frequency be f s = 1000 Hz. Accurately sketch X s (jω), the Fourier transform of the sampled signal x s (t), as a function of f for 1000 f 1000 Hz. Find an equation for the reconstructed signal x r (t) for this value of f s. (d) (5 pts) Is the reconstructed signal x r (t) periodic for f s = 1000 Hz? If so, what is its fundamental frequency? If not, explain why not. 7

8 Problem F.4: Consider the circuit shown below with input voltage source v i (t) and output voltage v o (t): v i (t) = input voltage + _ R 1 C L R 2 + _ v o (t) = output voltage (a) (5 pts) Draw this circuit in the s-domain assuming zero initial conditions. Properly label all quantities indicated on the original circuit for full credit. (b) (10 pts) Determine the transfer function relating the input voltage source to the voltage across R 2, H(s) = V o (s)/v i (s), by analyzing the circuit in the s-domain. Simplify H(s) so that it is expressed as a ratio of polynomials in s with all like terms combined. (c) (5 pts) Let v i (t) = V 0 u(t). Use the Final Value Theorem to find the steady state output voltage. Make sure that this value makes sense! 8

9 Problem F.5: (5 pts each) Consider the six low pass filters whose transfer functions are given below. Your job is to select either a step response (graphs 1 and 2) or a frequency response (graphs 3 through 6) from the numbered choices below that matches the transfer function. Each one will have exactly one match (that is, there will be either a step response or a frequency response that matches, but not both). Put the number of the matching graph in the space provided. Transfer Function Graph Transfer Function Graph (a) H(s) = (b) H(s) = (c) H(s) = s s s s s 2 + 2s + 1 (d) H(s) = (e) H(s) = (f) H(s) = 2 s s s s s 2 + 4s

10 Problem F.6: This problem considers control of a plant G p (s) = G c (s) = K p. s b s 2 + 6s + 8 using a proportional controller r(t) + G c (s) G p (s) y(t) (a) (10 pts) Find the transfer function H(s) of the closed loop system in terms of b, the plant zero location, and K p, the proportional gain. Express your answer as a ratio of polynomials in s with all like terms combined. (b) (5 pts) For b = 2, find all K p > 0 for which the closed loop system is stable. (c) (10 pts) Find the complete step response, y(t) for r(t) = u(t), for b = 2 and K p = 1. Comment on the ability of the closed loop system to track a step input. 10

11 Problem F.7: Consider the same feedback system of the previous problem with G p (s) = PI controller, G c (s) = K p + K i /s. s + 2 s 2 + 9s + 14 and a (a) (10 pts) Find the transfer function H(s) of the closed loop system in terms of the controller gains, K p and K i. Express your answer as a ratio of polynomials in s with all like terms combined. (b) (5 pts) What are the restrictions, if any, on K p and K i for the system to achieve perfect tracking of a step input in the steady-state? (c) (10 pts) Suppose you want the closed loop system to have one pole at s = 10 and two repeated poles at s = 2. Either find K p > 0 and K i > 0 that will achieve this goal, or show that it can t be done. 11

12

13

14

15

16

17

18

19

20

21

22

23

### GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM. COURSE: ECE 3084A (Prof. Michaels)

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 09-Dec-13 COURSE: ECE 3084A (Prof. Michaels) NAME: STUDENT #: LAST, FIRST Write your name on the front page

### NAME: ht () 1 2π. Hj0 ( ) dω Find the value of BW for the system having the following impulse response.

University of California at Berkeley Department of Electrical Engineering and Computer Sciences Professor J. M. Kahn, EECS 120, Fall 1998 Final Examination, Wednesday, December 16, 1998, 5-8 pm NAME: 1.

6.00 (Fall 2011) Final Examination December 19, 2011 Name: Kerberos Username: Please circle your section number: Section Time 2 11 am 1 pm 4 2 pm Grades will be determined by the correctness of your answers

6.00 (Fall 20) Final Examination December 9, 20 Name: Kerberos Username: Please circle your section number: Section Time 2 am pm 4 2 pm Grades will be determined by the correctness of your answers (explanations

### Problem Value

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 30-Apr-04 COURSE: ECE-2025 NAME: GT #: LAST, FIRST Recitation Section: Circle the date & time when your Recitation

### ECE 3084 QUIZ 2 SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING GEORGIA INSTITUTE OF TECHNOLOGY APRIL 2, Name:

ECE 3084 QUIZ 2 SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING GEORGIA INSTITUTE OF TECHNOLOGY APRIL 2, 205 Name:. The quiz is closed book, except for one 2-sided sheet of handwritten notes. 2. Turn off

### Problem Value

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 2-May-05 COURSE: ECE-2025 NAME: GT #: LAST, FIRST (ex: gtz123a) Recitation Section: Circle the date & time when

### 6.003 (Fall 2011) Quiz #3 November 16, 2011

6.003 (Fall 2011) Quiz #3 November 16, 2011 Name: Kerberos Username: Please circle your section number: Section Time 2 11 am 3 1 pm 4 2 pm Grades will be determined by the correctness of your answers (explanations

### Problem Value

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 30-Apr-04 COURSE: ECE-2025 NAME: GT #: LAST, FIRST Recitation Section: Circle the date & time when your Recitation

### Problem Weight Score Total 100

EE 350 EXAM IV 15 December 2010 Last Name (Print): First Name (Print): ID number (Last 4 digits): Section: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 25 2 25 3 25 4 25 Total

### Problem Value Score No/Wrong Rec 3

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING QUIZ #3 DATE: 21-Nov-11 COURSE: ECE-2025 NAME: GT username: LAST, FIRST (ex: gpburdell3) 3 points 3 points 3 points Recitation

### ECE 350 Signals and Systems Spring 2011 Final Exam - Solutions. Three 8 ½ x 11 sheets of notes, and a calculator are allowed during the exam.

ECE 35 Spring - Final Exam 9 May ECE 35 Signals and Systems Spring Final Exam - Solutions Three 8 ½ x sheets of notes, and a calculator are allowed during the exam Write all answers neatly and show your

### ECE 301 Division 1 Final Exam Solutions, 12/12/2011, 3:20-5:20pm in PHYS 114.

ECE 301 Division 1 Final Exam Solutions, 12/12/2011, 3:20-5:20pm in PHYS 114. The exam for both sections of ECE 301 is conducted in the same room, but the problems are completely different. Your ID will

### ECE 301 Division 1, Fall 2006 Instructor: Mimi Boutin Final Examination

ECE 30 Division, all 2006 Instructor: Mimi Boutin inal Examination Instructions:. Wait for the BEGIN signal before opening this booklet. In the meantime, read the instructions below and fill out the requested

### FINAL EXAM. Problem Value Score No/Wrong Rec 3

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 1-May-08 COURSE: ECE-2025 NAME: GT username: LAST, FIRST (ex: gpburdell3) 3 points 3 points 3 points Recitation

### Massachusetts Institute of Technology

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.011: Introduction to Communication, Control and Signal Processing QUIZ 1, March 16, 2010 ANSWER BOOKLET

### Fourier Methods in Digital Signal Processing Final Exam ME 579, Spring 2015 NAME

Fourier Methods in Digital Signal Processing Final Exam ME 579, Instructions for this CLOSED BOOK EXAM 2 hours long. Monday, May 8th, 8-10am in ME1051 Answer FIVE Questions, at LEAST ONE from each section.

### ECE 308 SIGNALS AND SYSTEMS SPRING 2013 Examination #2 14 March 2013

ECE 308 SIGNALS AND SYSTEMS SPRING 2013 Examination #2 14 March 2013 Name: Instructions: The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices are permitted, including

### 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2017 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any

### Final Exam of ECE301, Section 3 (CRN ) 8 10am, Wednesday, December 13, 2017, Hiler Thtr.

Final Exam of ECE301, Section 3 (CRN 17101-003) 8 10am, Wednesday, December 13, 2017, Hiler Thtr. 1. Please make sure that it is your name printed on the exam booklet. Enter your student ID number, and

### 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2018 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any

### Final Exam of ECE301, Prof. Wang s section 8 10am Tuesday, May 6, 2014, EE 129.

Final Exam of ECE301, Prof. Wang s section 8 10am Tuesday, May 6, 2014, EE 129. 1. Please make sure that it is your name printed on the exam booklet. Enter your student ID number, e-mail address, and signature

### Each problem is worth 25 points, and you may solve the problems in any order.

EE 120: Signals & Systems Department of Electrical Engineering and Computer Sciences University of California, Berkeley Midterm Exam #2 April 11, 2016, 2:10-4:00pm Instructions: There are four questions

### ECE 301. Division 3, Fall 2007 Instructor: Mimi Boutin Midterm Examination 3

ECE 30 Division 3, all 2007 Instructor: Mimi Boutin Midterm Examination 3 Instructions:. Wait for the BEGIN signal before opening this booklet. In the meantime, read the instructions below and fill out

### Test II Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2016 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any

### ECE 301. Division 2, Fall 2006 Instructor: Mimi Boutin Midterm Examination 3

ECE 30 Division 2, Fall 2006 Instructor: Mimi Boutin Midterm Examination 3 Instructions:. Wait for the BEGIN signal before opening this booklet. In the meantime, read the instructions below and fill out

### Math 19 Practice Exam 2B, Winter 2011

Math 19 Practice Exam 2B, Winter 2011 Name: SUID#: Complete the following problems. In order to receive full credit, please show all of your work and justify your answers. You do not need to simplify your

### ECE 2210 Final given: Spring 15 p1

ECE 2 Final given: Spring 15 Closed Book, Closed notes except preprinted yellow sheet, Calculators OK. Show all work to receive credit. Circle answers, show units, and round off reasonably 1. (15 pts)

### This homework will not be collected or graded. It is intended to help you practice for the final exam. Solutions will be posted.

6.003 Homework #14 This homework will not be collected or graded. It is intended to help you practice for the final exam. Solutions will be posted. Problems 1. Neural signals The following figure illustrates

### EE C128 / ME C134 Final Exam Fall 2014

EE C128 / ME C134 Final Exam Fall 2014 December 19, 2014 Your PRINTED FULL NAME Your STUDENT ID NUMBER Number of additional sheets 1. No computers, no tablets, no connected device (phone etc.) 2. Pocket

### Signals and Systems Profs. Byron Yu and Pulkit Grover Fall Midterm 2 Solutions

8-90 Signals and Systems Profs. Byron Yu and Pulkit Grover Fall 08 Midterm Solutions Name: Andrew ID: Problem Score Max 8 5 3 6 4 7 5 8 6 7 6 8 6 9 0 0 Total 00 Midterm Solutions. (8 points) Indicate whether

### Final Exam of ECE301, Prof. Wang s section 1 3pm Tuesday, December 11, 2012, Lily 1105.

Final Exam of ECE301, Prof. Wang s section 1 3pm Tuesday, December 11, 2012, Lily 1105. 1. Please make sure that it is your name printed on the exam booklet. Enter your student ID number, e-mail address,

### ECE : Linear Circuit Analysis II

Purdue University School of Electrical and Computer Engineering ECE 20200 : Linear Circuit Analysis II Summer 2014 Instructor: Aung Kyi San Instructions: Midterm Examination I July 2, 2014 1. Wait for

### EE 3054: Signals, Systems, and Transforms Summer It is observed of some continuous-time LTI system that the input signal.

EE 34: Signals, Systems, and Transforms Summer 7 Test No notes, closed book. Show your work. Simplify your answers. 3. It is observed of some continuous-time LTI system that the input signal = 3 u(t) produces

### DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010

[E2.5] IMPERIAL COLLEGE LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010 EEE/ISE PART II MEng. BEng and ACGI SIGNALS AND LINEAR SYSTEMS Time allowed: 2:00 hours There are FOUR

### Problem Value Score No/Wrong Rec

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING QUIZ #2 DATE: 14-Oct-11 COURSE: ECE-225 NAME: GT username: LAST, FIRST (ex: gpburdell3) 3 points 3 points 3 points Recitation

### Digital Signal Processing. Midterm 1 Solution

EE 123 University of California, Berkeley Anant Sahai February 15, 27 Digital Signal Processing Instructions Midterm 1 Solution Total time allowed for the exam is 8 minutes Some useful formulas: Discrete

### E2.5 Signals & Linear Systems. Tutorial Sheet 1 Introduction to Signals & Systems (Lectures 1 & 2)

E.5 Signals & Linear Systems Tutorial Sheet 1 Introduction to Signals & Systems (Lectures 1 & ) 1. Sketch each of the following continuous-time signals, specify if the signal is periodic/non-periodic,

### Final Exam of ECE301, Section 1 (Prof. Chih-Chun Wang) 1 3pm, Friday, December 13, 2016, EE 129.

Final Exam of ECE301, Section 1 (Prof. Chih-Chun Wang) 1 3pm, Friday, December 13, 2016, EE 129. 1. Please make sure that it is your name printed on the exam booklet. Enter your student ID number, and

### EE C128 / ME C134 Midterm Fall 2014

EE C128 / ME C134 Midterm Fall 2014 October 16, 2014 Your PRINTED FULL NAME Your STUDENT ID NUMBER Number of additional sheets 1. No computers, no tablets, no connected device (phone etc.) 2. Pocket calculator

### ELEN 4810 Midterm Exam

ELEN 4810 Midterm Exam Wednesday, October 26, 2016, 10:10-11:25 AM. One sheet of handwritten notes is allowed. No electronics of any kind are allowed. Please record your answers in the exam booklet. Raise

### Math 41 First Exam October 12, 2010

Math 41 First Exam October 12, 2010 Name: SUID#: Circle your section: Olena Bormashenko Ulrik Buchholtz John Jiang Michael Lipnowski Jonathan Lee 03 (11-11:50am) 07 (10-10:50am) 02 (1:15-2:05pm) 04 (1:15-2:05pm)

### EE301 Signals and Systems Spring 2016 Exam 2 Thursday, Mar. 31, Cover Sheet

EE301 Signals and Systems Spring 2016 Exam 2 Thursday, Mar. 31, 2016 Cover Sheet Test Duration: 75 minutes. Coverage: Chapter 4, Hmwks 6-7 Open Book but Closed Notes. One 8.5 in. x 11 in. crib sheet Calculators

### ECE Circuit Theory. Final Examination. December 5, 2008

ECE 212 H1F Pg 1 of 12 ECE 212 - Circuit Theory Final Examination December 5, 2008 1. Policy: closed book, calculators allowed. Show all work. 2. Work in the provided space. 3. The exam has 3 problems

### Problem Value Score No/Wrong Rec 3

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING QUIZ #2 DATE: 22-Feb- COURSE: ECE-25 NAME: GT username: LAST, FIRST (ex: gpburdell3) 3 points 3 points 3 points Recitation Section:

DESIGN OF CMOS ANALOG INEGRAED CIRCUIS Franco Maloberti Integrated Microsistems Laboratory University of Pavia Discrete ime Signal Processing F. Maloberti: Design of CMOS Analog Integrated Circuits Discrete

### Homework 4. May An LTI system has an input, x(t) and output y(t) related through the equation y(t) = t e (t t ) x(t 2)dt

Homework 4 May 2017 1. An LTI system has an input, x(t) and output y(t) related through the equation y(t) = t e (t t ) x(t 2)dt Determine the impulse response of the system. Rewriting as y(t) = t e (t

### Massachusetts Institute of Technology

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.11: Introduction to Communication, Control and Signal Processing QUIZ 1, March 16, 21 QUESTION BOOKLET

### 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. ECE 110 Fall Test II. Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ ECE 110 Fall 2016 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any assistance

### ECE 301 Division 1, Fall 2008 Instructor: Mimi Boutin Final Examination Instructions:

ECE 30 Division, all 2008 Instructor: Mimi Boutin inal Examination Instructions:. Wait for the BEGIN signal before opening this booklet. In the meantime, read the instructions below and fill out the requested

### EE-202 Exam II March 3, 2008

EE-202 Exam II March 3, 2008 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION MORNING 8:30 MWF AFTERNOON 12:30 MWF INSTRUCTIONS There are 12 multiple choice worth 5 points each and there is

### ECE-202 FINAL April 30, 2018 CIRCLE YOUR DIVISION

ECE 202 Final, Spring 8 ECE-202 FINAL April 30, 208 Name: (Please print clearly.) Student Email: CIRCLE YOUR DIVISION DeCarlo- 7:30-8:30 DeCarlo-:30-2:45 2025 202 INSTRUCTIONS There are 34 multiple choice

### x(t) = t[u(t 1) u(t 2)] + 1[u(t 2) u(t 3)]

ECE30 Summer II, 2006 Exam, Blue Version July 2, 2006 Name: Solution Score: 00/00 You must show all of your work for full credit. Calculators may NOT be used.. (5 points) x(t) = tu(t ) + ( t)u(t 2) u(t

### MTH 234 Exam 1 February 20th, Without fully opening the exam, check that you have pages 1 through 11.

Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 11. Show all your work on the standard

### School of Information Technology and Electrical Engineering EXAMINATION. ELEC3004 Signals, Systems & Control

This exam paper must not be removed from the venue Venue Seat Number Student Number Family Name First Name School of Information Technology and Electrical Engineering EXAMINATION Semester One Final Examinations,

### EE-202 Exam III April 6, 2017

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

### NAME: 23 February 2017 EE301 Signals and Systems Exam 1 Cover Sheet

NAME: 23 February 2017 EE301 Signals and Systems Exam 1 Cover Sheet Test Duration: 75 minutes Coverage: Chaps 1,2 Open Book but Closed Notes One 85 in x 11 in crib sheet Calculators NOT allowed DO NOT

### 06/12/ rws/jMc- modif SuFY10 (MPF) - Textbook Section IX 1

IV. Continuous-Time Signals & LTI Systems [p. 3] Analog signal definition [p. 4] Periodic signal [p. 5] One-sided signal [p. 6] Finite length signal [p. 7] Impulse function [p. 9] Sampling property [p.11]

### 6.003 (Fall 2007) 17 December Final exam. Name: Please circle your section number:

6.3 (Fall 27) Final exam 7 December 27 Name: Please circle your section number: Section Instructor Time Jeffrey Lang 2 Jeffrey Lang 3 Karen Livescu 4 Sanjoy Mahajan 2 5 Antonio Torralba 6 Qing Hu 2 Partial

### EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16

EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16 Instructions: Write your name and section number on all pages Closed book, closed notes; Computers and cell phones are not allowed You can use

### LTI Systems (Continuous & Discrete) - Basics

LTI Systems (Continuous & Discrete) - Basics 1. A system with an input x(t) and output y(t) is described by the relation: y(t) = t. x(t). This system is (a) linear and time-invariant (b) linear and time-varying

### Problem Value Score No/Wrong Rec 3

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING QUIZ #2 DATE: 14-Mar-08 COURSE: ECE-2025 NAME: GT username: LAST, FIRST (ex: gpburdell3) 3 points 3 points 3 points Recitation

### FINAL EXAM. Problem Value Score

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 27-Apr-09 COURSE: ECE-2025 NAME: GT username: LAST, FIRST (ex: gpburdell3) 3 points 3 points 3 points Recitation

### Laplace Transform Part 1: Introduction (I&N Chap 13)

Laplace Transform Part 1: Introduction (I&N Chap 13) Definition of the L.T. L.T. of Singularity Functions L.T. Pairs Properties of the L.T. Inverse L.T. Convolution IVT(initial value theorem) & FVT (final

### Test 2 SOLUTIONS. ENGI 5821: Control Systems I. March 15, 2010

Test 2 SOLUTIONS ENGI 5821: Control Systems I March 15, 2010 Total marks: 20 Name: Student #: Answer each question in the space provided or on the back of a page with an indication of where to find the

### ECE 301 Division 1 Exam 1 Solutions, 10/6/2011, 8-9:45pm in ME 1061.

ECE 301 Division 1 Exam 1 Solutions, 10/6/011, 8-9:45pm in ME 1061. Your ID will be checked during the exam. Please bring a No. pencil to fill out the answer sheet. This is a closed-book exam. No calculators

### Without fully opening the exam, check that you have pages 1 through 11.

MTH 33 Solutions to Final Exam May, 8 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show

### ECE-314 Fall 2012 Review Questions for Midterm Examination II

ECE-314 Fall 2012 Review Questions for Midterm Examination II First, make sure you study all the problems and their solutions from homework sets 4-7. Then work on the following additional problems. Problem

### ECEN 420 LINEAR CONTROL SYSTEMS. Lecture 2 Laplace Transform I 1/52

1/52 ECEN 420 LINEAR CONTROL SYSTEMS Lecture 2 Laplace Transform I Linear Time Invariant Systems A general LTI system may be described by the linear constant coefficient differential equation: a n d n

### Problem Points Problem Points Problem Points

Name Signature Student ID# ------------------------------------------------------------------ Left Neighbor Right Neighbor 1) Please do not turn this page until instructed to do so. 2) Your name and signature

### Module 4. Related web links and videos. 1. FT and ZT

Module 4 Laplace transforms, ROC, rational systems, Z transform, properties of LT and ZT, rational functions, system properties from ROC, inverse transforms Related web links and videos Sl no Web link

### Without fully opening the exam, check that you have pages 1 through 11.

Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 11. Show all your work on the standard

### GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING ECE 26 Summer 14 Quiz #1 June 11, 14 NAME: (FIRST) (LAST) GT username: (e.g., gtxyz123) Circle your recitation section (otherwise

### Math 51 Midterm 1 July 6, 2016

Math 51 Midterm 1 July 6, 2016 Name: SUID#: Circle your section: Section 01 Section 02 (1:30-2:50PM) (3:00-4:20PM) Complete the following problems. In order to receive full credit, please show all of your

### Problem Value Score Total 100/105

RULES This is a closed book, closed notes test. You are, however, allowed one piece of paper (front side only) for notes and definitions, but no sample problems. The top half is the same as from the first

### EE 16B Final, December 13, Name: SID #:

EE 16B Final, December 13, 2016 Name: SID #: Important Instructions: Show your work. An answer without explanation is not acceptable and does not guarantee any credit. Only the front pages will be scanned

### New Mexico State University Klipsch School of Electrical Engineering. EE312 - Signals and Systems I Spring 2018 Exam #1

New Mexico State University Klipsch School of Electrical Engineering EE312 - Signals and Systems I Spring 2018 Exam #1 Name: Prob. 1 Prob. 2 Prob. 3 Prob. 4 Total / 30 points / 20 points / 25 points /

### 2A1H Time-Frequency Analysis II

2AH Time-Frequency Analysis II Bugs/queries to david.murray@eng.ox.ac.uk HT 209 For any corrections see the course page DW Murray at www.robots.ox.ac.uk/ dwm/courses/2tf. (a) A signal g(t) with period

### Problem Point Value Points

Math 70 TUFTS UNIVERSITY October 12, 2015 Linear Algebra Department of Mathematics Sections 1 and 2 Exam I Instructions: No notes or books are allowed. All calculators, cell phones, or other electronic

### 6.003 Homework #6 Solutions

6.3 Homework #6 Solutions Problems. Maximum gain For each of the following systems, find the frequency ω m for which the magnitude of the gain is greatest. a. + s + s ω m = w This system has poles at s

### Problem Weight Total 100

EE 350 Problem Set 3 Cover Sheet Fall 2016 Last Name (Print): First Name (Print): ID number (Last 4 digits): Section: Submission deadlines: Turn in the written solutions by 4:00 pm on Tuesday September

### New Mexico State University Klipsch School of Electrical Engineering EE312 - Signals and Systems I Fall 2015 Final Exam

New Mexico State University Klipsch School of Electrical Engineering EE312 - Signals and Systems I Fall 2015 Name: Solve problems 1 3 and two from problems 4 7. Circle below which two of problems 4 7 you

### Without fully opening the exam, check that you have pages 1 through 10.

Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the eam, check that you have pages 1 through 10. Show all your work on the standard

### Without fully opening the exam, check that you have pages 1 through 11.

Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show all your work on the standard response

### ECE301 Fall, 2006 Exam 1 Soluation October 7, Name: Score: / Consider the system described by the differential equation

ECE301 Fall, 2006 Exam 1 Soluation October 7, 2006 1 Name: Score: /100 You must show all of your work for full credit. Calculators may NOT be used. 1. Consider the system described by the differential

### EECS 20N: Structure and Interpretation of Signals and Systems Final Exam Department of Electrical Engineering and Computer Sciences 13 December 2005

EECS 20N: Structure and Interpretation of Signals and Systems Final Exam Department of Electrical Engineering and Computer Sciences 13 December 2005 UNIVERSITY OF CALIFORNIA BERKELEY LAST Name FIRST Name

### Math 41 Second Exam November 4, 2010

Math 41 Second Exam November 4, 2010 Name: SUID#: Circle your section: Olena Bormashenko Ulrik Buchholtz John Jiang Michael Lipnowski Jonathan Lee 03 (11-11:50am) 07 (10-10:50am) 02 (1:15-2:05pm) 04 (1:15-2:05pm)

### ECE2210 Final given: Fall 13

ECE22 Final given: Fall 3. (23 pts) a) Draw the asymptotic Bode plot (the straight-line approximation) of the transfer function below. Accurately draw it on the graph provided. You must show the steps

### The Johns Hopkins University Department of Electrical and Computer Engineering Introduction to Linear Systems Fall 2002.

The Johns Hopkins University Department of Electrical and Computer Engineering 505.460 Introduction to Linear Systems Fall 2002 Final exam Name: You are allowed to use: 1. Table 3.1 (page 206) & Table

### ME 132, Fall 2015, Quiz # 2

ME 132, Fall 2015, Quiz # 2 # 1 # 2 # 3 # 4 # 5 # 6 Total NAME 14 10 8 6 14 8 60 Rules: 1. 2 sheets of notes allowed, 8.5 11 inches. Both sides can be used. 2. Calculator is allowed. Keep it in plain view

### NAME: 11 December 2013 Digital Signal Processing I Final Exam Fall Cover Sheet

NAME: December Digital Signal Processing I Final Exam Fall Cover Sheet Test Duration: minutes. Open Book but Closed Notes. Three 8.5 x crib sheets allowed Calculators NOT allowed. This test contains four

### NAME: 13 February 2013 EE301 Signals and Systems Exam 1 Cover Sheet

NAME: February EE Signals and Systems Exam Cover Sheet Test Duration: 75 minutes. Coverage: Chaps., Open Book but Closed Notes. One 8.5 in. x in. crib sheet Calculators NOT allowed. This test contains

### Math 41: Calculus First Exam October 13, 2009

Math 41: Calculus First Exam October 13, 2009 Name: SUID#: Select your section: Atoshi Chowdhury Yuncheng Lin Ian Petrow Ha Pham Yu-jong Tzeng 02 (11-11:50am) 08 (10-10:50am) 04 (1:15-2:05pm) 03 (11-11:50am)

### Time Response Analysis (Part II)

Time Response Analysis (Part II). A critically damped, continuous-time, second order system, when sampled, will have (in Z domain) (a) A simple pole (b) Double pole on real axis (c) Double pole on imaginary

### Controls Problems for Qualifying Exam - Spring 2014

Controls Problems for Qualifying Exam - Spring 2014 Problem 1 Consider the system block diagram given in Figure 1. Find the overall transfer function T(s) = C(s)/R(s). Note that this transfer function

### 2A1H Time-Frequency Analysis II Bugs/queries to HT 2011 For hints and answers visit dwm/courses/2tf

Time-Frequency Analysis II (HT 20) 2AH 2AH Time-Frequency Analysis II Bugs/queries to david.murray@eng.ox.ac.uk HT 20 For hints and answers visit www.robots.ox.ac.uk/ dwm/courses/2tf David Murray. A periodic

### The Laplace Transform

The Laplace Transform Syllabus ECE 316, Spring 2015 Final Grades Homework (6 problems per week): 25% Exams (midterm and final): 50% (25:25) Random Quiz: 25% Textbook M. Roberts, Signals and Systems, 2nd

### Laplace Transforms and use in Automatic Control

Laplace Transforms and use in Automatic Control P.S. Gandhi Mechanical Engineering IIT Bombay Acknowledgements: P.Santosh Krishna, SYSCON Recap Fourier series Fourier transform: aperiodic Convolution integral