Problem 2(b) in Assignment 4 (Initial value theorem & Residue theorem approach)
Find the inverse z transform of Y z
z2
, z 0.6 .
z 0.6 z 0.2
Solution
First, we apply the initial value theorem to find out where the signal starts, i.e., the location of
t
ELEC 310: Lecture Set 1
Michael McGuire
Department of Electrical & Computer Engineering
University of Victoria
[email protected]
December 15, 2013
Michael McGuire ( Department of Electrical & Computer
ELEC
Engineering
310: Lecture
University
Set 1 of V
ELEC 310: Lecture Set 9
The Discrete Fourier Series/Transform
Michael McGuire Department of Electrical & Computer Engineering
University of Victoria [email protected]
December 15, 2013
Michael McGuire
[email protected]
ELEC 310: Lecture Set 9
Decemb
ELEC 310: Lecture Set 4
The Z Transform
Michael McGuire Department of Electrical & Computer Engineering
University of Victoria [email protected]
December 15, 2013
Michael McGuire
[email protected]
ELEC 310: Lecture Set 4
December 15, 2013
1 / 32
Int
ELEC 310: Midterm 2
Review Session 2
Time domain
x[n]
y[n]
h[n]
input
output
impulse response
Z domain
X ( z)
H ( z)
Fourier domain
Y ( z)
System/ transfer function
X (e j )
H (e j )
Y (e j )
frequency response
Last tutorial focused on
Given
Find
frequen
ELEC 310: Lecture Set 7
Continuous Time, Sampled, and Discrete Time Systems Continued
Michael McGuire Department of Electrical & Computer Engineering
University of Victoria [email protected]
December 15, 2013
Michael McGuire
[email protected]
ELEC 3
Assignment 5
ELEC 310: Digital Signal Processing I
Due: Tuesday, March 11, 2014 at 4:30 PM in the dropbox
1. Problem 3.24 from the textbook.
2. Problem 3.29 from the textbook.
3. Problem 3.30 from the textbook
4. Problem 3.42 from the textbook. Part (c) i
Assignment 5
ELEC 310: Digital Signal Processing I
Due: Monday, March 17, 2014 at 4:30 PM in the dropbox
1. Problem 4.23 from the textbook.
2. You wish to remove an annoying 60 Hz hum from a signal. We will show how you can do this
with a digital filter.
1
Frequency response
The frequency response of a linear time-invariant system is the Fourier transform of the impulse
response.
Figure 1. Discrete time systems: time and frequency domain analysis.
In the textbook, the frequency response of LTI systems is
Problem (Similar to 2.3. Finding Unit step response by convolution)
Consider an LTI system described by the impulse response h n 0.3 n u n .
Find the system unit step response using convolution.
Solution.
As the system is LTI, the output can be computed b
ELEC 310: Final Exam
Review Session 1
Tutorial TA: Ioana Sevcenco
ELEC 310: Final Exam
Review Session 1
Problem 1:
Given Step Response of LTI System
find Impulse Response
find Response to another input
2
Given Step Response, find Impulse Response
Proble
ELEC 310: Lecture Set 8
Basic Network Analysis
Michael McGuire
Department of Electrical & Computer Engineering
University of Victoria
[email protected]
December 15, 2013
Michael McGuire ( Department of Electrical & Computer
ELEC
Engineering
310: Lectur
Problem (similar to 2.4)
Finding impulse response from difference equation without the use of Fourier transform.
Consider an initially relaxed system described by:
1
y n 1 x n 2 x n 1 x n 2
2
Find a closed form expression for the impulse response of the s
Assignment 4
ELEC 310: Digital Signal Processing I
Due: Friday, February 21, 2014 at 4:30 PM in the dropbox
1. Find the z-transform of the following functions:
(b)
x [n] = cfw_10 + (0.2)n u [n]
y [n] = sin 1.75n +
u [n]
3
(c)
x [n] = 10n cos (1.35n) u [n
Complex numbers representations
Cartesian
z x jy
Polar
z r (cos j sin )
z re j
Relationship between
a complex number z and its conjugate z*
Cartesian
Polar
z x jy
z r (cos j sin )
z re j
z * x jy
z * r (cos j sin )
z * re j
Complex numbers characteristics
ELEC 310: Lecture Set 5
The Z Transform Continued
Michael McGuire Department of Electrical & Computer Engineering
University of Victoria [email protected]
December 15, 2013
Michael McGuire
[email protected]
ELEC 310: Lecture Set 5
December 15, 2013
University of Victoria
Department of Electrical and Computer Engineering
ELEC 310-Spring 2015
Assignment 4 worth 2% of final course mark
Issued: Feb 6, 2015
University of Victoria
Department of Electrical and Computer Engineering
ELEC 310-Spring 2015
Assignment 8 worth 2% of final course mark
Issued: March 12, 2015
University of Victoria
Department of Electrical and Computer Engineering
ELEC 310-Spring 2015
Assignment 10 worth 2% of final course mark
Issued: March 25, 2015
University of Victoria
Department of Electrical and Computer Engineering
ELEC 310-Spring 2015
Assignment 1 part 1solution
Question 2.
Problem 2.7.
Question 3.
Question 4.
As mentioned in class, this question was a non-trivial one. We are asked to reason w
University of Victoria
ELEC 3 1 0 : Midterm # 1 Spring 2008
Instructor: Alexandra Branzan Albu
Question
1
2
3
Total
Time: 50 minutes
Value (pts)
5
5
5
15 pts
l.(5p)
a) (3p) Consider the periodic signal
x[n] = 6cos[(/2)n]
Determine the fundamental period o