Digital Signal Processing
Dr. Fred J. Taylor, Professor
Lesson Title: FIR Filter Challenge Challenge: [22]
Challenge
A 31st order Type I lowpass equiripple FIR is designed using uniform passband and stopband error weights. The measured passband and stopb
EEL5225 Principles of MEMS Transducers
HW1 Fall 2009 Semester Assigned: Wednesday, 8/26/09 Due: Wednesday, 9/2/09 1) From the specification sheet for the Kulite LEH-1AC-250 series (100 PSI model) miniature flatpack pressure transducer (see attached), dete
Digital Signal Processing
Dr. Fred J. Taylor, Professor
Lesson Title: Inverse z-Transform Challenge Lesson Number: 07
Challenge Problem
A signal having a z-transform: X ( z) = 11z3 + 3z 2 + 1
( z + 1) ( z 1) 2
has a partial fraction expansion: X ( z ) =
Exam #2 Fall 2013 Review
1
Exam #2 Review
Practice Exam #2
DFT Theme
Lessons 8-13
2
Exam #2 Review
1-DFT
a) An N-point DFT with fs= 330Hz is to be used to identify a 60 Hz
signal without leakage. What is the minimum value of N that meets the
leakage requi
Berational
i
1
Lesson [13]
Getreal
FFT Applications
Practice Exam #2 on-line.
2
Lesson [13]
Challenge 12
You are to transform data records of length 2000 samples. That is, the
data records can be lengthen using zero padding (i.e., adding zeros to
the end
I used MATLAB too!
1
Lesson [10]
Windowing
Windowing
2
Lesson [10]
Challenge 09
DTMF, or dual tone multi-frequency modulation associates two tones with each
key on a touch-tone telephone pad. For example, '5' produces tones at 770Hz
and 1336Hz.
1
2
3
A
69
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: z-transform
Lesson Number: [06] UF [06] IEEE
Whats it all about?
What is the z-transform and what is its purpose?
How are z-transforms performed?
What are the strange things about z-tr
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: Convolution Theorem
Lesson 15 / Lecture 17
Whats it all about?
What is the convolution theorem?
How can the FFT be used to perform linear convolution?
Background:
The response of an at
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: State Determined Systems
Lesson Number [17] / Lecture [19]
Whats it all about?
How do state variables support the analysis of linear systems?
What is a state transition matrix?
State V
Dr. Fred J. Taylor, Professor
Digital Signal Processing
FFT
Lesson Number: [11]
Lecture: [12]
Whats it all about?
What is the FFT and why is it fast?
What are the FFT forms and how do they compare?
History of the FFT
Origins of the FFT
In 1805 C. F. Gaus
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Introduction to Discrete-Time Systems
Lesson Number: 02
Whats it all about?
What is a linear system?
What are the theoretical underpinnings of linear systems?
Whats with the impulse response thing?
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: Inverse z-transform
5
Lesson Number: [07]
Whats it all about?
What are the acceptable means of inverting a z-transform?
How do they compare in computational complexity?
Why should I be
Digital Signal Processing
Dr. Fred J. Taylor, Professor
Lesson Title: Multirate Lesson Number [25]
Challenge
A sample rate converted is needed to convert a signal sampled at 48 kSa/s to one sampled at 40 kSa/s (both standard multimedia rates). How can th
1
Lesson [08]
Fourier Transform
2
Lesson [08]
Jean Baptiste Joseph Fourier (1768-1830).
When I am working on a problem I never think
about beauty. I only think about how to solve
the problem.
Are we sure this guy is really French?
But when I have finished
I happen to think that computers are the most important thing to happen to
musicians since the invention of cat-gut which was a long time ago.
- early signal processing practitioner, Bob Moog
Bob Moogs analog synthesizer.- 1960s
1
Lesson 05
Finite Wordlen
Remember when classes involved note taking and library research?
1
Lesson 01
Lesson 01: Introduction to
Digital Signal Processing (DSP)
TA email address: [email protected] or [email protected]
2
Lesson 01
Origins of DSP
Where shall I begin your Majesty
Maybe we should we rename the course GOOGLE 5525?
1
Lesson 03
SamplingTheorem
2
Lesson 03
Challenge 02
1st-Order Linear System
For the simple first-order RC circuit is shown, accept
that the relationship between the input forcing function
v(t) and voltage
email activity seems to peak around 10:40 AM.
1
Lesson 02
Lesson 2
Linear Systems
2
Lesson 02
Discussion Points
What will the DSP technology of tomorrow look like?
If I only knew.
Hardware choices? Custom DSP p, custom ASIC, ASSP/FASIC (IP),
structured AS
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: State Variable Basics
Lesson 16/Lecture 18
Whats it all about
What is the problem?
What is a state models?
How are they used?
State-Determined Systems
The ability of form and manipulat
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: Convolution
Lesson 14/Lecture 16
Whats it all about?
What is linear convolution?
What are the convolution properties?
What is circular convolution?
Discrete-Time Convolution
Convolutio
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Leakage and Windowing
Lesson Number: [10]
Whats it all about?
What is leakage
How can windows overcome leakage?
What are the basic window types?
Leakage A DFT Shortfall
A problem commonly encountere
f(t),t : 0 F(s) ROC
1. so) 1 A115
1
2. u(t) E Re(s) > 0
1
3. t 2 Re(s) > 0
s
l
4. t" S241 Re(s) > 0
5. [at 1 Re(s) > a
s + a
1
6. temt R > _
(s _ )2 e(s) a
7. t" e_ _n!_ Re(s) > a
(S _ a)n+1
. b
8. sm bt 32 _ b2 Re(s) > 0
s
9. cos bt
Practice Exam #1
Challenge 7
Practice Quiz (Lessons 1-7)
Project 1 due on, or before, Friday (class time). Project 1
hardcopy due a week from Friday or earlier. I will be in-class
Friday for Project 1 collection only (no lesson).
Exam #1 TA hours: Sept. 1
Practice Exam #2
Practice Exam #2
DFT Theme
Lessons 8-13
Project 2 due Monday.
1
Exam #2 Review
Q1-DFT
a) An N-point DFT with a sample rate fs=330Hz is to be used to identify
a 60 Hz signal without leakage. What is the minimum value of N that
meets the le
Practice Exam #1
1
Practice Exam #1
EEL 5502 Exam #1
Summer 2015
Lectures 1-7
Name: _
ID: _
Instructions:
Complete the exam on the space provided. When time is
called, stop all work and follow the instructions provided.
Any work that is not collected when
Practice Exam #1
Challenge 7
Practice Exam (Lessons 1-7)
Project 1 due Friday, on or before class time.
Exam #1 Friday.
1
Practice Exam #1
Challenge 07
A signal having a z-transform:
X(z)=(1+0.4 2 z-1)/(1- 0.8 2 z-1 + 0.64 z-2)
is to be transformed into a
Be rational
i
1
Practice Exam #2
Get real
Practice Exam #2
(DFT/FFT Theme)
Challenge 12
Practice Exam #2
Project 2 due.
Exam #2 On-Camus Wednesday
- Off-Campus by Monday
Basis = 100
75 minutes
2
Exam #2 Review
Challenge 12
You are to Fourier transform dat
Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: Introduction to Multirate Signal
Processing
Lesson Number 26: Lecture 29
Whats it all about?
What is a multi-rate system and what are there purposes?
What is decimation and interpolati