EE 20: Structure and Interpretation of Signals and Systems
Department of Electrical Engineering and Computer Sciences
HOMEWORK 1
University of California Berkeley
Due Noon 2/3/2014
Location to hand in homework: EE drop box on the rst oor of Cory Hall (in
EECS 20N: Structure and Interpretation of Signals and Systems
Department of Electrical Engineering and Computer Sciences
U NIVERSITY OF C ALIFORNIA B ERKELEY
Problem Set 1
SOLUTIONS
HW 1.1 Consider a pair of complex numbers z = a + bi and v = c + di, wher
EE20N: Structure and Interpretation of Systems and Signals
Spring 2014
Lecture 15: March 18
Lecturer: Thomas Courtade
15.1
Scribe: Suraj Gowda
Agenda
Reading: LV Chapter 10
Further discussion of CTFT
15.2
CTFT
Recall that the synthesis equation is
x(t)
EECS 20N: Structure and Interpretation of Signals and Systems
Problem Set 1
Department of EECS
Issued: 8 September 2012
U NIVERSITY OF C ALIFORNIA B ERKELEY
Due: 14 September 2012, 5pm
I believe that excessive admiration for the work of great minds is one
EE20N: Structure and Interpretation of Systems and Signals
Spring 2014
Lecture 06: February 7
Lecturer: Thomas Courtade
6.1
Scribe: Ka-Kit Lam
LTI Systems
Time invariance
Weve been talking about linear systems. Now lets talk about another system property,
EECS 20N: Structure and Interpretation of Signals and Systems
Department of Electrical Engineering and Computer Sciences
U NIVERSITY OF C ALIFORNIA B ERKELEY
Problem Set 3
SOLUTIONS
HW 3.3 (Analysis of a First-Order Electronic Circuit) In this problem, yo
EECS 20 NApril 9, 2001
Lecture 30:
Midterm Review
Laurent El Ghaoui
1
outline
reading assignment: Chapter 9 of Lee and Varaiya
todays lecture: review of probs 1-3 of Midterm II
2
linearity means
and
Problem 1
S(x + y) = S(x) + S(y)
S(ax) = aS(x)
for any
EECS 20 NMarch 23, 2001
Lecture 27:
Continuous-Time Frequency Response
Laurent El Ghaoui
1
annoucements
homework due on Wednesday 4/4 at 11 AM
midterm: Friday, 4/6
includes all chapters until chapter 8, included
no labs during midterm week
still, go t
EECS 20 NMarch 14, 2001
Lecture 23:
Frequency Domain (II)
Laurent El Ghaoui
1
outline
reading assignment: Chapter 7 of Lee and Varaiya
more on Fourier series for continuous-time signals
Fourier series for discrete-time signals
2
Fourier series expansion
EE 20 N Feb. 28, 2001
Lecture 17:
Linear Memoryless Systems
Laurent El Ghaoui
[email protected]
(Office Hours: W and Th, 2-3)
1
outline
vectors and matrices
matrix algebra
linear memoryless systems
2
vectors
a vector x RealsM is a collection o
EECS 20 NMarch 5, 2001
Lecture 20:
Continuous-Time Dynamic Linear Systems
Laurent El Ghaoui
1
annoucements
reading assignment: Chapter 6 of Lee and Varaiya
no lab next week (3/123/16)
still, go to lab sessions for problem set discussions
this weeks la
EECS 20 NMarch 5, 2001
Lecture 19:
Dynamic Linear Systems (II)
Laurent El Ghaoui
1
outline
Reading assignment: Chapter 5 of Lee and Varaiya
about the quizz
discrete-time linear systems: an example
2
about the quizz: exercise # 1
For given x RM , y RM ,
EECS 20 NApril 30, 2001
Lecture 39:
Fourier Transforms (IV)
Laurent El Ghaoui
1
outline
reading assignment: Chapter 10 of Lee and Varaiya
todays lecture:
final words on Fourier transforms
example of an LTI system: seismology
2
the four Fourier transform
EECS 20 NMarch 21, 2001
Lecture 26:
Frequency Response (III)
Laurent El Ghaoui
1
outline
reading assignment: Chapter 8 of Lee and Varaiya
well concentrate on continuous-time systems:
convolution integral
impulse
impulse response
2
convolution sum
m=+
X
EECS 20 NApril 2, 2001
Lecture 28:
Continuous-Time Frequency Response (II)
Laurent El Ghaoui
1
annoucements
homework due on Wednesday 4/4 at 11 AM
midterm: Friday, 4/6
includes all chapters until chapter 8, included
no labs during midterm week
still,
EECS 20 NMay 4, 2001
Lecture 41:
Control Systems (II)
Laurent El Ghaoui
1
announcements
final: 12:30-3:30pm on Monday, May 14 in 155 Dwinelle
during the week of May 7: all TAs and the tutor will have one
office hour, in the lab: : Sean (Wed 1-2pm), Shan
Review
EECS 20
Lecture 38 (April 27, 2001)
Tom Henzinger
Transducive System
Input Value
Output Value
transduciveSystem : Values Values
Reactive System
Input Signal
OutputSignal
reactiveSystem : [ Time Values ] [ Time Values ]
1
Discrete time:
Time = Nats0
EECS 20 NApril 4, 2001
Lecture 29:
Review
Laurent El Ghaoui
1
annoucements
midterm: Friday, 4/6
includes all chapters until chapter 8, included
no labs during midterm week
still, go to lab sessions for problem discussions
it is recommended to attend b
Progress Control
EECS 20
Lecture 37 (April 25, 2001)
Tom Henzinger
The Safety Control Problem
Given
1.
finite-state machine Plant
2. set Error of plant states
1
The Safety Control Problem
Find
plant
input
finite-state machine Plant
finite-state machine
Co
Digital Audio Compression:
Why, What, and How
An Absurdly Short Course
Jeff Bier
Berkeley Design Technology, Inc.
2000 BDTI
2000 BDTI
1
Outline
!
!
!
!
Why Compress?
What is Audio Compression?
How Does it Work?
Conclusions
2000 BDTI
2
Why: Too Much Data
EECS 20 NApril 16, 2001
Lecture 32:
Fourier Transforms (III)
Laurent El Ghaoui
1
outline
reading assignment: Chapter 9 of Lee and Varaiya
todays lecture:
continuous-time and discrete-time Fourier transforms (CTFT and
DTFT)
properties and examples
2
the
EE20: Structure and Interpretation of Systems and Signals
Spring 2014
Lecture 01: January 22
Lecturer: David Tse
1.1
Scribe: TJ Tsai
Signals
What is a signal? Perhaps it is best to give examples of signals before dening them.
Example 1.1. Sound - air pres
EE 20: Signals and Systems
Department of EECS
University of California Berkeley
Problem Set 8 Solutions
HW8.1 Determine X, the continuous-time Fourier transform (CTFT) of each of
the following signals x.
(a) One-sided decaying exponential: x(t) = eat u(t)
EECS 20N: Structure and Interpretation of Signals and Systems
Problem Set 8
Department of EECS
Issued: 13 November 2015
U NIVERSITY OF C ALIFORNIA B ERKELEY
Due: 23 November 2015, 11:59pm
Circumstances Favorable and Unfavorable to Original Ideas
It will b
EECS 20N: Structure and Interpretation of Signals and Systems
Problem Set 3
Department of EECS
Issued: 2 October 2015
U NIVERSITY OF C ALIFORNIA B ERKELEY
Due: 9 October 2015, 11:59pm
A Hard Days Night
A preview of whats to come, courtesy of NPR:
The jang