EECS 20N: Structure and Interpretation of Signals and Systems Problem Set 5 Department of EECS Issued: 24 October 2008 University of California Berkeley Due: 31 October 2008, 5pm
The continuing thread of achievement in information transmission has b
EECS 20N: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA BERKELEY HW 5.1 (a) We have for n = 0, n = 1, n = 2, Therefore: Y [n] =
k=0
Problem Set 5 SOLUTIONS
Y
EECS 20n: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences U NIVERSITY OF C ALIFORNIA B ERKELEY LAST Name FIRST Name Lab Time
Final Exam 14 May 2005
Please write you name and Lab Time i
EECS 20N: Structure and Interpretation of Signals and Systems Problem Set 4 Department of EECS Issued: 10 October 2008 University of California Berkeley Due: 17 October 2008, 5pm
The Absolute Necessity of Seeking Inspiration in Nature We may learn a
EECS 20N: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA BERKELEY HW 3.1 (a) Fig1 and Fig2 show the sketch for f (m) and h(m) respectively.
Problem Set 3 SOLUTI
EECS 20N: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences U NIVERSITY OF C ALIFORNIA B ERKELEY HW 4.1 (a) u[n] =
k=0 d[n
Problem Set 4 SOLUTIONS
 k]. Then, using linearity and timein
Lab 03: Filters and Frequency Responses
EE 20 Spring 2014
University of California, Berkeley
1
Introduction
In this lab, we will explore the idea of frequency response, and see why this concept can prove to be
tremendously useful in signal processing. We
Lab 04: Filters and Impulse Responses
EE 20 Spring 2014
University of California, Berkeley
1
Introduction
In this lab, we will continue with the concepts of lters and frequency response, but also tie in impulse
response. We will begin by nding the impulse
Lab 5: Basic Image Processing
1
Introduction
Some of the most popular applications of digital signal processing occur in the growing eld
of image processing. Unlike audio signals, however, image signals exist in two dimensions, as
opposed to one: this fac
EE20N Fall 2013 Discussion Questions
1. Plot the following signals
(a)
y(t) = cos(2t)
(b)
y(t) = cos(2t + )
(c)
y(t) = 2cos(4t)
(d)
y(t) = 1 + 2cos(4t )
2. Determine whether the following systems are linear
x(t)
System
y(t)=x(2t)
x(t)
System
y(t)=x(sin(t)
Discussion 3
EE20 Spring 2014
University of California, Berkeley
1
Discretetime Fourier Series
Consider the following discretetime signal:
4
3.5
3
2.5
2
1.5
1
0.5
0
8
6
4
2
0
2
4
6
The signal repeats o to the left and to the right.
What is the period o
EE20: Structure and Interpretation of Signals and Systems
Spring 2014
Discussion 04: February 12
4.1
TimeInvariance
Determine whether the following systems are timeinvariant:
a) y(t) = x(t)
1
b) y(n) = 1 x(n) + 1 x(n 1) + 8 x(n 2) . . .
2
4
c) y(n) =
d)
EE 20: Structure and Interpretation of Signals and Systems
Department of Electrical Engineering and Computer Sciences
University of California Berkeley
Practice Problems
Week of 33114
1. Q. 1 in Chapter 4 of Signals & Systems, 2ed.
Use the Fourier trans
EE 20: Structure and Interpretation of Signals and Systems
Department of Electrical Engineering and Computer Sciences
University of California Berkeley
Practice Problems
Week of 41414
1. Q. 6 in Chapter 4 of Signals & Systems, 2ed.
Given that x(t) has F
EE 20: Structure and Interpretation of Signals and Systems
Department of Electrical Engineering and Computer Sciences
University of California Berkeley
Practice Problems
Week of 42114
1. Q. 1 in Chapter 7 of Signals & Systems, 2ed.
A realvalued signal
Lab 02: Fourier Series and the Gibbs Phenomenon
EE 20 Spring 2014
University of California, Berkeley
1
Introduction
In this lab, we will be exploring the concept of Fourier series, which you have learned in class, and look at one
of the interesting concep
Lab 7: Simulating a Digital Camera
1
Introduction
A lot of signal processing goes into making a digital camera eective and aordable. In this
lab, you will simulate and implement some important aspects of a digital cameras operation.
Start by copying all t
EECS 20. Final Exam Practice Problems, Spring, 2005.
1. Consider a LTI system with [A, b, c, d] representation given by: A= 1 1 0 1 , b= 0 1 , cT = [1 0], d = 0.
(a) Calculate the zeroinput state response when the initial state is s(0) = [s1 (0) s2
Solutions EE20n Midterm 1 Problem 1 (24 points) Please indicate whether the following statements are true or false. You will receive 0 points for a wrong answer, 1.5 points for no answer, and 3 points for a correct answer. There will be no partial c
EECS 20N: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences U NIVERSITY OF C ALIFORNIA B ERKELEY
1 HW 1.1 (a) z1 = 1 + i 3 = 2( 2 + i 23 ) = 2 exp(i ) 3 1 z2 = exp(i 2 ) = cos( 2 ) + i
EECS 20N: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences U NIVERSITY OF C ALIFORNIA B ERKELEY HW 2.1 (a) DeMorgan's Laws P T T F F P T T F F (b) Distributive Laws P T T T T F F F F R T F
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
1
1/2 1/4 1/8
2
1
0
1
2
3
Figure 1: f (m)
1
1
1
1

EECS 20N: Structure and Interpretation of Signals and Systems Problem Set 3 Department of EECS Issued: 2 October 2008 University of California Berkeley Due: 10 October 2008, 5pm
Circumstances Favorable and Unfavorable to Original Ideas It will be fai
UNIVERSITY OF CALIFORNIA
College of Engineering Department of Electrical Engineering and Computer Sciences
Professor Tse
Spring 2005
EECS 20n  Final Exam Solutions
[5 pts.] Problem 1 1 1 y ( n ) =  y ( n 1 ) + x ( n ) +  x ( n 1 ) 4 2 This i
EECS 20N: Structure and Interpretation of Signals and Systems Department of Electrical Engineering and Computer Sciences U NIVERSITY OF C ALIFORNIA B ERKELEY LAST Name FIRST Name Lab Time
FINAL S07 16 May 2007
(10 Points) Print your name and lab time in
EE20  Spring 2014
Practice Problem Set 2
1. Problem 3.3
(a) As we have seen in Section 2.1, a discretetime linear (and possibly timevarying) system
is characterized by its response hk (n) to delayed unit samples (n k). For each of the
following choices