EEL 6562
Image Processing and Computer Vision
Lecture 5
Contrast Enhancement
Dr. Dapeng Oliver Wu
University of Florida
Department of Electrical and Computer
Engineering
Fall 2016
Where are we now?
Output are images
Wavelets
Waveletsand
and
Multiresolutio

Maybe we should we rename the course GOOGLE 5502?
1
Lesson 03
Sampling Theorem
Challenge 02
Lesson 03: Review of the Sampling Theorem
Whats it all about!
Shannons (Nyquist) Sampling Theorem.
Signal reconstruction (interpolation).
Practical interpolation.

Dr. Fred J. Taylor, Professor
Digital Signal Processing
EEE 5502/08H8 & EEL4750/226E
Fall 2016
Foundations of Digital Signal Processing
Syllabus
Instructor:
Dr. Fred J. Taylor, Professor Emeritus, 441NEB
email fjt@ece.ufl.edu (Subject line, EEE5502 or EE

Practice Exam #2
(DFT/FFT Theme)
1
Exam #2 Review
1-DFT
a) An N-point DFT with 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 leakage requirement?
2
Exam #2 Review
b) Suppose an

1
Lesson 00
Foundations of Digital Signal
Processsing (DSP)
Fall 2015
Lesson 00: Overview of
EEE5520/EEL4750
Course overview
Administrative details
2
Lesson 00
Are you sure you want to do this ?
Technology has left an ugly scare on the face of history. An

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

Project 1: Sampling and Aliasing (Lessons 01-07)
Common Sense Commission: If you need to modify a problem in order to obtain a meaningful
outcome, do so, but do so using common sense.
The object of the Project 1 is to provide an inquiry-based experience i

Where shall I begin your Majesty? At the beginning, the King
said gravely, and go on till you come to the end then stop.
Lewis Carroll, Alice in Wonderland.
1
Lesson 01
TA schedule - Benjamin Feldt (bfeldt@ufl.edu)
Tuesday and Thursday
Period 3 (9:35-10:

OFDM Project #2 2015
Digital Signal Processing
OFDM MATLAB PROJECT 2
OFDM
Orthogonal frequency division multiplexing (OFDM) is now over 30 years old and belongs to a
class of modulation schemes called multi-carrier (MC) systems. The modulation and
demodul

Exam #3 Review
Fall 2015
Topical Coverage: Lessons 13-19 (convolution/state space/architecture)
Practice Exam #3 Monday
Exam #3 Wednesday
Turn in Project #3 Friday.
Exam #3 Review
Problem 1: State Space
A 2nd order LTI system has a transfer function H(z)=

3.1
The baseline performance (in cycles, per loop iteration) of the code sequence in
Figure 3.48, if no new instructions execution could be initiated until the previ-
ous instructions execution had completed, is 4i]. See Figure 5.2. Each instruc-
tion req

Dr. Fred J. Taylor, Professor
Digital Signal Processing
Lesson Title: Spectral Estimation
Lesson Number: 13 / Lecture 14
This material is supplemental and exempt from examination.
Whats it all about?
What is spectral estimation?
What are the techniques u

Dr. Fred J. Taylor, Professor
Digital Signal Processing
Sampling Theorem
Lesson 03
Whats it all about!
Shannons (Nyquist) Sampling Theorem.
Signal reconstruction (interpolation).
Practical interpolation.
Sampling modalities (critical, over, under).
Compr

1
Lesson [08]
Fourier Transform
Whats it all about?
Family of Fourier transforms
Discrete Fourier Transform (DFT)
Challenge 8
2
Lesson [08]
Jean Baptiste Joseph Fourier (1768-1830).
When I am working on a problem I never think
about beauty. I only think a

DoDs new Mark 16 weapons delivery system.
1
Lesson 05
Finite Wordlength Effects
Whats it all about?
Challenge 04
Finite wordlength effects.
Quantization.
Challenge 05
Project 1 comments
Labor day Monday (no class)
2
Lesson 05
Challenge 04
What is the most

Exam #4 Review
Challenge 25
Exam #4 Review
Topical Coverage: FIR/IIR
Exam #4 Review
1
Lesson 25 Review Example
A -3dB 2nd order analog lowpass Butterworth filter having 1000 r/s
passband is given by:
10 6
H s 2
s 2 103 s 106
If the sample frequency is fs=

Be rational
i
1
Practice Exam #2
Get real
Practice Exam #2
(DFT/FFT Theme)
Challenge 12
Practice Exam #2
Exam #2 Monday
Project 2 due Wednesday.
TA available today 1-2PM
2
Exam #2 Review
Challenge 12
You are to Fourier transform data records of length 200

1
Lesson [09]
DFT
Whats it all about
Challenge 08
DFT properties
Challenge 09
2
Lesson [09]
Challenge 08
You produce a filters
frequency response.
Why are there jump
discontinuities in the
phase response? Can
the system actually go
through an
instantaneou

1
Lesson [08]
Fourier Transform
Whats it all about?
Family of Fourier transforms
Discrete Fourier Transform (DFT)
Challenge 8
2
Lesson [08]
Jean Baptiste Joseph Fourier (1768-1830).
When I am working on a problem I never think
about beauty. I only think a

1
Lesson 06
z-Transform
Whats it all about?
Challenge 5
z-Transforms an oldie but goodie
Challenge 6
2
Lesson 06
Lesson 05 Take Away
V
Quantization error: e[k]=xdiscrete[k] - xdigital[k]
d uniform quantization error distribution
Quantization step-size: =(

EEL 6562
Image Processing and Computer Vision
Lecture 4
Image Quantization
Dr. Dapeng Oliver Wu
University of Florida
Department of Electrical and Computer
Engineering
Fall 2016
Outline
Introduction
Uniform quantization
Minimum Mean Squared Error (MMSE

EEE 6512
Image Processing and Computer Vision
Lecture 8
Spatial Domain Linear Filtering
Dr. Dapeng Oliver Wu
University of Florida
Department of Electrical and Computer
Engineering
Fall 2016
Lecture Outline
Introduction
Noise removal using low-pass filt

Inverse z-Transform
Whats it all about?
Challenge 06
Inverse z-Transform and Heaviside expansions
Challenge 07
Practice Exam #1 discussed Wednesday
Exam #1 Friday.
2
Lesson [07]
News Audio Signal Processing
Filters are characterized
in the z-domain (as
tr

Be rational
i
1
Practice Exam #2
Get real
Practice Exam #2
(DFT/FFT Theme)
Challenge 12
Practice Exam #2
Exam #2 Monday (Lesson 8 12)
Project 2 due Wednesday (no class Wednesday)
2
Exam #2 Review
Challenge 12
You are to Fourier transform data records of l

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

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

Exam #4 Review
Challenge 25
Exam #4 Review
Topical Coverage: FIR/IIR
Exam #4 Review
1
Lesson 25 Review Example
A -3dB 2nd order analog lowpass Butterworth filter having 1000 r/s
passband is given by:
106
H s 2
s 2 103 s 106
If the sample frequency is fs=1

Dr. Fred J. Taylor, Professor
Digital Signal Processing
EEL 5502/4930 Exam #3 Answers
Convolution/State Space (Lessons 13-19)
Fall 2015
Name: _
ID: _
Instructions:
Complete the exam on the space provided. When time is called, stop all work and follow the

Dr. Fred J. Taylor, Professor
Digital Signal Processing
EEL 5525 Exam #2 Worksheet
FFT (Lessons 8-12)
Fall 2015
Name: _
Student Number: _
Instructions:
Complete the exam on the space provided. When time is called, stop all work and follow the instruction

Exam #3 Review
Fall 2015
Topical Coverage: Lessons 13-19 (convolution/state space/architecture)
Practice Exam #3 Monday / TA available 1:00 to 2:00
Exam #3 Wednesday
Turn in Project #3 Friday.
Exam #3 Review
Challenge 19
An FIR has an impulse response h[k

Exam #4 Review
Challenge 25
Exam #4 Review
Topical Coverage: FIR/IIR
Exam #4 Review
1
Problem 1: FIR
A 7th order Type 1 FIR has the impulse response h[k]=cfw_-0.1, 0, 0.3, 0.5,
0.3, 0, -0.1 . The magnitude frequency response is shown for a
sample rate of