SPFirst Lecture #2
22
ECE 2026 Summer 2021 LECTURE #1 Intro & Motivation May 17, 2021
Transcript of SPFirst Lecture #2
ECE 2026 Summer 2021
LECTURE #1
Intro & Motivation
May 17, 2021
ECE 2026
▪ Introduction to Signal Processing
Prof. John Barry
Class website:
https://barry.ece.gatech.edu/2026/
Schedule
L01
Chenghao Duan
L02
Mohit Prabhushankar
Recitation Professors
Chenghao Duan (L01)
Mohit Prabhushankar (L02)
Intro to Signal Processing
What is a “signal”?
▪ A collection of numbers
▪ Discrete time: a sequence x[n ]
▪ Continuous time: a waveform x( t )
▪ May represent something physical
Intro to Signal Processing
What is “processing”:
Manipulation via computations to
▪ extract useful information
▪ Remove noise or other imperfections
▪ Compress
AUTOTUNE
160 kbps (11%) vs 320 kbps (23%)
OK Google,
what song is this?
Signal Processing of
Image and Video
FACE UNLOCK
PORTRAIT MODE
https://youtu.be/1AT_HKV70o4
DE-BLUR
Medical Imaging
Metal Detectors
Communications
COURSE OBJECTIVE
Students will be able to:
▪ Understand mathematical descriptions of
signal processing algorithms and express
those algorithms as computer
implementations (MATLAB)
Class Website
http://barry.ece.gatech.edu/2026/
Things you might have heard about 2026
▪ The faculty are against the students
▪ No one passes the final
▪ No one gets an A
▪ It’s really hard
▪ It’s a lot of work
Common Pitfalls
▪ Topics have strong sequential dependency
▪ Many people don’t:
▪ Manage time well
▪ Use the course resources
▪ Read the book
▪ Engage in class
▪ Attend office hours
▪ Many people do:
▪ Rely too much on material from previous terms
(Ex: Understanding HW worth more than HW points)
READING
▪ Appendix A: Complex Numbers
▪ Appendix B: MATLAB
▪ Chapter 1: Introduction
▪ Chapter 2: Sinusoids
3 LECTURE OBJECTIVES
▪ Complex Number Review
▪ Conjugate, multiply, powers, roots of unity
▪ Polar representation
▪ Euler
▪ Roots of Unity
Pop Quiz:
Find the Roots
(a) of the polynomial z2 - 1?
(b) of the polynomial z2 + 1?
COMPLEX NUMBERS
▪ A complex number is z = x + jy:
▪ Some polynomials have no real roots (e.g. z2 + 1), but all order-N polynomials have N
(possibly complex, possible repeated) roots.
zCartesian
coordinate
system
12 -=j
zx Re=
zy Im=
COMPLEX ADDITION = VECTOR Addition
26
)53()24(
)52()34(213
j
j
jj
zzz
+=
+-++=
++-=
+=
Add z1 = 4 – 3j to z2 = 2 + 5j
