ECE 340: Discrete Time Signals and Systems
Lecture 20: The Transfer Function & System Realization
November 18, 2014
Lecturer: Majid Khabbazian
1. Zero-State Response of LTID Systems: The Transfer Func
ECE 340: Discrete Time Signals and Systems
Lecture 14: Z-transform
October 21, 2014
Lecturer: Majid Khabbazian
1. A Very Special Function for LTID Systems: The Exponential zk
The response y[k] of and
ECE 340: Discrete Time Signals and Systems
Lecture 11: Periodic Extension of Fourier Spectrum
October 9, 2014
Lecturer: Majid Khabbazian
1. Recap
We can represent any N0 -periodic signal f [k] as the
ECE 340: Discrete Time Signals and Systems
Lecture 10: Discrete-Time Fourier Series (DTFS) Periodic Signals
October 7, 2013
Lecturer: Majid Khabbazian
1. Introduction
Previously, we showed that any d
ECE 340: Discrete Time Signals and Systems
Lecture 9: Difference EquationsTotal Response, and System Stability
October 2, 2014
Lecturer: Majid Khabbazian
1. Total response of the system
So far, we le
ECE 340: Discrete Time Signals and Systems
Lecture 7: Zero-Input Response
September 25, 2013
Lecturer: Majid Khabbazian
1. A few terms:
(a) Q() = n + an1 n1 + . . . + a1 + a0 is called the characteris
ECE 340: Discrete Time Signals and Systems
Lecture 8: Difference EquationsUnit Impulse Response
September 30, 2014
Lecturer: Majid Khabbazian
1. Unit impulse response Introduction
Question: An LTID s
ECE 340: Discrete Time Signals and Systems
Lecture 6: Difference Equations
September 23, 2014
Lecturer: Majid Khabbazian
1. Difference Equations An special case
Solving an special case where an1 , .
ECE 340: Discrete Time Signals and Systems
Lecture 5: More on discrete-time signals and systems
September 18, 2014
Lecturer: Majid Khabbazian
1. Size of a Discrete-Time Signal
Size of a discrete-time
ECE 340: Discrete Time Signals and Systems
Lecture 16: Some Properties of the Z-Transform
October 30, 2014
Lecturer: Majid Khabbazian
1. Linearity
The Z-transform is a linear operation. That is, if
f
ECE 340: Discrete Time Signals and Systems
Lecture 15: Z-transform
October 23, 2014
Lecturer: Majid Khabbazian
1. Recap: The Z-Transform
The Z-transform of f [k] is dened as
f [k]z k .
F [z] =
k=
Th
ECE 340: Discrete Time Signals and Systems
Lecture 12: Discrete-Time Fourier Transrom (DTFT) Aperiodic Signals
October 14, 2014
Lecturer: Majid Khabbazian
We showed that periodic signals can be repres
ECE 340: Discrete Time Signals and Systems
Lecture 22: Frequency Response From Pole-Zero Location
November 25, 2014
Lecturer: Majid Khabbazian
1. Frequency Response From Pole-Zero Location
Review:
(a
ECE 340: Discrete Time Signals and Systems
Lecture 23: Solving Midterm Questions
December 2, 2014
Lecturer: Majid Khabbazian
a
1. cos(ak + b) is periodic if and only if 2 is rational. To nd the period
ECE 340: Discrete Time Signals and Systems
Lecture 23: Basics of Digital Filters
November 27, 2014
Lecturer: Majid Khabbazian
1. Review
A digital lter is a digital system that transforms a sequence, a
ECE 340: Discrete Time Signals and Systems
Lecture 21: The Bilateral Z-transform + System response to Sinusoidal input
November 20, 2014
Lecturer: Majid Khabbazian
1. Introduction
The bilateral Z-tra
ECE 340: Discrete Time Signals and Systems
Lecture 19: Z-Transform Solution to Linear Difference Equations
November 13, 2014
Lecturer: Majid Khabbazian
1. Recap
Suppose m is a non-negative integer.
ECE 340: Discrete Time Signals and Systems
Lecture 18: Inverse Z-transform of rational Functions
November 6, 2014
Lecturer: Majid Khabbazian
1. More Examples
Example: Find the inverse Z-transform of
ECE 340: Discrete Time Signals and Systems
Lecture 13: Nature of Fourier Spectra and DTFT Properties
October 16, 2014
Lecturer: Majid Khabbazian
1. Nature of Fourier Spectra
The Fourier spectra are c
ECE 340: Discrete Time Signals and Systems
Lecture 17: Inverse of the Z-Transform
November 4, 2014
Lecturer: Majid Khabbazian
1. Introduction
Many of the transforms F [z] of practical interest are ra
ECE 340: Discrete Time Signals and Systems
Lecture 2: Introduction to Discrete-Time Signals: Part 2
September 9, 2014
Lecturer: Majid Khabbazian
1. Periodic signals
Denition 1 (N0 -periodic, where N0
ECE 340: Discrete Time Signals and Systems
Lecture 1: Introduction to Discrete-Time Signals: Part 1
September 4, 2014
Lecturer: Majid Khabbazian
1. Brief Introduction
There is a signicant similarity
ECE 340: Discrete Time Signals and Systems
Lecture 2: Introduction to Discrete-Time Signals: Part 2 Examples
September 9, 2014
Lecturer: Majid Khabbazian
1. Example: A discrete-time amplier uses a sam
Assignment 9 (Last Assignment :-)
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Nov. 28, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
Q5
TOTAL
Mark
6
4
3
5
3
21
1 o
Assignment 8
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Nov. 20, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
TOTAL
Mark
4
5
5
5
19
1 of 2
Your Mark
Assignment 8
Assignment 6
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Nov. 6, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
Q5
Q6
TOTAL
Mark
5
5
5
5
5
3
28
1 of 2
Your Mark
Ass
Assignment 7
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Nov. 13, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
TOTAL
Mark
4
4
12
10
30
1 of 2
Your Mark
Assignment
Assignment 2
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Oct. 2, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
TOTAL
Mark
4
3
4
4
5
4
4
3
31
1 of 2
You
Assignment 3
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Oct. 9, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
TOTAL
Mark
3
6
2
6
3
3
4
6
33
1 of 3
You
Assignment 4
Name & Student Number:
ECE 340
Discrete-Time Signals and Systems
Fall 2014
Due date: Oct. 16, 2014 @ 3:30 pm
Marks
Question
Q1
Q2
Q3
Q4
Q5
TOTAL
Mark
6
3
4
3
6
22
1 of 2
Your Mark
Assignm