ECE 220 Signals and Systems I Midterm Exam
Spring 2009 Date: March 3, 2009 Section 201
Instructions:
(read first)
Write your last name, first name and student ID clearly on all of your answer sheets. This exam is open book, open notes; but m
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In Class Quiz #2
January 31, 2017
Last Name: SOD. m First Name: 1 9 25."?
Question I: Evaluate the following 5 equations:
1. qfa(t)r5(tT) = (T) 3 ( ) .
2. / (t)a(2t T)dt =M.
3. f (2t)6(t T)dt =m.
o C) i T4 0 6
4. f sin (t2 g)6(t)dt =2i.
5- 7 [3:13]6(E-1
ECE 226 Spring 2017 Iii-Class Quiz No. 5 Apr. 4, 2017
$31. First Name:
Last Name:
Grading is 5 points/problem for a correct answer. Show your work to receive partial credit. Please
circle your answer.
1
1. Given a signal: :1:(t) = m, use the duality
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George Mason University
Signals and Systems I
Spring 2015
Problem Set #2
Assigned: January 29, 2015
Due Date: In recitation the week of February 2, 2015
Reading: Sections 2.2, 2.3, and 2.5 in your textbook, Signals and Systems, Oppenheim and Willsky.
Assi
George Mason University
Signals and Systems I
Spring 2015
Problem Set #3
Assigned: February 06, 2015
Due Date: February 13, 2015 in Recitation
Reading: Sections 2.2, 2.3, and 2.5 in your textbook, Signals and Systems, Oppenheim and Willsky.
Assignment: Gi
George Mason University
Signals and Systems I
Spring 2015
Problem Set #7
Assigned: March 26, 2015
Due Date: April 03, in Recitation
Reading: The focus of this problem set is on the Fourier transform and its properties. The relevant
sections in the text Si
George Mason University
Signals and Systems I
Spring 2015
Problem Set #5
Assigned: February 19, 2015
Due Date: February 27, 2015 in Recitation
Reading: This problem set looks at Fourier series expansions of periodic signals. The relevant
sections in the t
George Mason University
Signals and Systems I
Spring 2015
Problem Set #4
Assigned: February 13, 2015
Due Date: February 20, 2015 in Recitation
Reading: This problem set focuses on linear constant coecient dierential equations and the
response of LTI syste
George Mason University
Signals and Systems I
Spring 2015
Problem Set #6
Assigned: March 17, 2015
Due Date: March 27, 2015 in Recitation
Reading: This problem set focuses on Fourier series and the use of Fourie series to solve the heat
equation as discuss
George Mason University
Signals and Systems I
Spring 2015
Problem Set #8
Assigned: April 03, 2015
Due Date: April 10, in Recitation
Assignment: Given below are two sets of problems. The rst, Practice Problems, are optional
and for those of you who would l
George Mason University
Signals and Systems I
Spring 2015
Problem Set #9
Assigned: April 10, 2015
Due Date: April 17, in Recitation
Regular Problems
Problem 9.1
Let h0 (t) be the impulse response of an ideal lowpass lter with a cuto frequency 0 ,
1
0
H0 (
Objectives and Theoretical Background
The purpose of this project is to review properties of some basic continuous-time signals such as real
exponentials and sinusoids, unit step, and impulse signal. Another purpose of this project is to review
how MATLAB
ECE 220 Spring 20LT
In-Class Quiz No.
2
"
'.'
Feb. 9, 20LT
Solution
1. An LTI system is defined by the following differential equation:
W.rry+6ae):ff*p1
(a) What is the characteristic equation (polynomial) for this system?
(b) What are the roots of the ch
ECE 220 Ill-Class Quiz #6
April 20, 2017
Last Name: EL First Name:
Given the following system transfer function:
11(3) = m = JL = .(8+3)2_
s +352+78+5 (3+1)(52+23+5) (s+1)(3+1+32)(s+132)
Q (3.) Find the poles and zeros of H(s) and show their locations on
ECE 220 Signals and Systems I Fall 2008 Laboratory Project 1 Report due: The purpose of this project is to review some basic continuous-time signals and the effect of various transformations of the independent (time) variable. Also, the project will give
ECE 220 Signals and Systems I Fall 2007 Laboratory project 2 Report due: The purpose of this project is to use MATLAB for the support of the manual computation of convolution (and practice signal manipulations and plotting), and to study causality of some
ECE 220 Signals and Systems I Fall 2007 Laboratory Project 3 Report due: Oct. 20 The purpose of this exercise is to study the behavior of first-order dynamic systems and the solution of the differential equation describing them. Also to introduce you to t
ECE 220 Signals and Systems I Fall 2007 Laboratory Assignment #5 Report due: November 17 Part 1: Partial Fractions by residue The MATLAB function residue computes partial fractions for Laplace transforms given in rational form. The inputs are the numerato
ECE 220 Signals and Systems I Fall 2007 MATLAB Project #4: Analysis of a second order system Report due: Nov 3 In this project, you will analyze a second order system. You will investigate what happens if the roots of the characteristic equation are real
George Mason University
Signals and Systems I
Fall 2016
Problem Set #8
Assigned: October 27, 2016
Due Date: November 3, 2016
Problem 8.1
A stable LTI filter has a frequency response H(j) given by:
H(j) =
a j
a + j
where a > 0.
(a) Find the magnitude of th
ECE 220 Spring 2017
Solution: In-Class Quiz No. 3
Feb. 21, 2017
A system is defined by the following differential equation:
d2 y(t)
dy(t)
dx(t)
+3
+ 2y(t) =
2
dt
dt
dt
The system input is x(t) = t2 + 5t + 3.
dy(t)
=3
The initial conditions are y(0 ) = 2
ECE 220 Spring 2017
In-Class Quiz No. 3
Last Name:
Feb. 21, 2017
First Name:
A system is defined by the following differential equation:
dy(t)
d2 y(t)
dx(t)
+3
+ 2y(t) =
2
dt
dt
dt
(1)
The system input is x(t) = t2 + 5t + 3.
dy(t)
=3
The initial conditio
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ECE 220 Spring 2017 In-Class Quiz No. 4 Mar. 21, 2017
Last Name: M First Name:
Consider the following two signals:
w) = A1 cos(7rt) + A2 cos(21rt)
y(t) = A1 A2 cos(7rt) cos(2art)
Answer each of the questions below and explain how you obtained your answers
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- Solution
George Mason University
Signals and Systems I
Spring 2017
Problem Set #1 - Solution
Assigned: Jan. 24, 2017
Due Date: Thur, Feb. 2 prior to start of class
Problem 1.1
(10 Points)
Let z1 = 3 + 4j, z2 = 1 2j, and z3 = 12 + 23 j. Find the value of