ECE 310
Homework 11
Analog & Digital filter design: Chapters 6 & 7
For this homework assignment you will need to refer to:
a) MATLAB Guide to Plotting Frequency Response Functions (Current Week folder
ECE 310, Spring 2015 Semester
Homework 6
Chapter 5: Fourier Transforms using tables of pairs and properties
Instructions:
Solve the following problems using Table 5.1 (pp. 5-10 and 5-11) and Table 5
Homework 10 Solutions
ECE 310
Relevant Chapters: 4, 5, 12, 7, 6
1.
Circle TRUE or FALSE: The DTFT is used to transform discrete-time signals to the
frequency domain.
2.
Circle TRUE or FALSE: The DFT i
Is sin(4t) even, odd, neither even nor odd, or both even and odd?
odd
Is rect(t) even, odd, neither even nor odd, or both even and odd?
even
Is u(t) even, odd, neither even nor odd, or both even and o
ECE 310: Discrete and Continuous Signals and Systems, Fall 2015 Semester
Homework #1 Solution
Complex number refresher (Chapter 1)
Solve the following by hand, showing all work.
1. Find the real part
La'wf Table 4.1
A. Short Table of Fourier Transforms
f (t) F (w)
1
1 e11(t) _ a > 0
a + you
2 cu(t) ' 1 _ a > 0
- y a. # 3w
_ . _20 .
3 e m 2 + w? a'> 0
4 te"'°tu(t') 1 a. > 0
. (a + 3w)2
5 te_t
Solution #6
Instructor: Professor Ahmet Enis Cetin
ECE 310 - Discrete and Continuous Signals and Systems
Exercise 1.
a, b.
We can write x[n], and h[n] as a summation of delta functions. That is,
x[n]
ECE 310 HW 0 Solution
1.
2.
For 4 [] to be periodic, we must have the following condition:
. : 4 [ + ] = 4 []
cos(2( + ) = cos(2 + 2) = cos(2)
Therefore, we must have:
2 = 2
=
But we are unable to
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Homework Submission Cover Sheet
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ECE 310 Discrete and Continuous Signals and Systems
Spring 2015 Semester
Homework #12
Due date: Wednesday, April 15, 2015
Last
Chapter 1 Continuous and Discrete Time Signals
1. Introduction to Signal Processing
1.1. Analog and Digital Signal Processing
Welcome to your first course on signal processing! Electrical signal wave
Homework #0
Professor Ahmet E. Cetin
ECE 310 - Discrete and Continuous Signals and Systems
Due: September 6, 2017
Exercise 1. Given the sinusoid xc (t) = cos(2t). Sample xc (t) with Ts =
1
x4 [n] = co
Homework #2
Professor Ahmet Enis Cetin
ECE 310 - Discrete and Continuous Signals and Systems
Due: September 29, 2017
Exercise
cfw_ 1. Let x(t) = u(t) be the input to an LTI system with the impulse res
Q1) Compute the discrete-time Fourier transform of the following signals.
a) x[n] = 0.2n u[n]
b) x[n] = cfw_x[0]=1, 1, 1, 1
c) x[n] = 0.2n u[n-2]
Q2) Consider the following causal linear cons
ECE 310
HW 3
Deadline: 10/13/2017
1)
a. Calculate the Fourier Series coefficients of ():
b. Use the Fourier Series coefficients that you calculated in part (a) to construct
() as follows:
3
() = 0
=
ECE 310 Homework 4
Deadline: 10/20/2017
1. (a) Compute the Fourier transform of () as follows
Let 1 = 1.
(b) Plot the magnitude |()| and phase () for 20
20.
2. Calculate the Fourier transform () of (
Homework #6
Professor Ahmet Enis Cetin
ECE 310 - Discrete and Continuous Signals and Systems
Due: Friday - November 10, 2017
Exercise 1.
a. Let x[n] = cfw_0.5, 1, 2. Calculate X(ej ).
b. Let h[n] = c
Homework 2 Solution
September 24, 2017
1.
(
et t 0
x(t) = u(t), h(t) =
0
o.w
y(t) =
h( )x(t )d
t
e d = 1 et
=
0
2.
(
h(t) =
et
0
t0
o.w
In order for the system to be stable, we have to have the foll
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Homework Submission Cover Sheet
(staple to your worksheets)
ECE 310 Discrete and Continuous Signals and Systems
Spring 2015 Semester
Homework #9
Due date: Monday, March 16, 2015
Last nam
Student Code:
Homework Submission Cover Sheet
(staple to your worksheets)
ECE 310 Discrete and Continuous Signals and Systems
Spring 2015 Semester
Homework #7
Due date: Monday, March 2, 2015
Last name
ECE310 Fall 2017 - Quiz 2
Student Name:
12/6/2017 - 50 Minutes
UIN:
(1) (50 Points) Given the following system,
y[n] = 0.8y[n 1] + x[n]
The system is causal.
(a) Calculate its transfer function.
(b) I
ECE 310 Quiz 2
10/23/2017
Notes:
Continuous time Fourier transform of () can be computed as
follows:
() = ()
Inverse Fourier transform of () is as follows:
1
() =
()
2
Eulers Formula:
0 = co