ECE130B
Jan. 5, 2014
Home Work 1
Due date: Jan. 13, 2014 by 5 p.m. at the ECE130B homework boxes.
Reading assignment.
Please read chapter 1 of the textbook, especially the parts concerned with digital signals and systems.
Revise chapter three on the Fouri
ECE130B
February 13, 2014
Midterm
Write your name and perm number clearly on each answer sheet. Make sure to justify all your answers and
to show your reasoning clearly. Answers without justication will get no marks.
Cheat sheet: You can use a cheat sheet
ECE130B
Jan. 26, 2014
Home work 4
Due date: Monday, February 3, 2014, by 5p.m. at the home work box.
FFT. The Fast Fourier Transform is an algorithm for computing the discrete Fourier series coecients rapidly. We briey describe one version when the length
ECE130B
February 3, 2014
Homework 5
Due date: February 10, 2014, by 11:59p.m. at the homework box.
Reading assingment. Read chapter 2 of the text book. Go through all the problems at the end of chapter 2.
Exercise 1. Let y (t) denote a square-wave (see Ho
ECE130B
March 8, 2014
Homework 9
Due date: None.
Reading assignment: Chapter 5 of the text book.
Discrete-time Fourier Transform: If x[n] is an absolutely summable discrete-time signal, its DTFT
X () is given by the formula
x[n]e jn ,
X ( ) =
n =
and the
ECE130B
February 24, 2014
Homework 7
Due date: March 3, 2014, by 11:59p.m. at the homework box.
Reading assignment. Chapter 10 of the text book.
Exercise 1. Write a function in your favorite programming language to simulate a discrete system whose
input s
ECE130B
February 9, 2014
Formulas
This is the only allowed cheat sheet for ECE130B midterm.
Convolution. The convolution of two discrete signals x[n] and h[n] is given by the formula
x[n] h[n] =
x[k ] h[n k ].
k =
Standard functions.
Discrete delta funct
Department of Electrical and Computer Engineering
University of California, Santa Barbara
ECE 130B
SIGNAL ANALYSIS
Winter 2015
Instructor:
Professor Hua Lee
Teaching Assistants:
Nikhil Chacko
Amir Mortazavi
Bohan Li
Lectures:
MW 12:30 1:45 pm
Phelps 1160
ECE 130B: Homework Assignment 6
Nikhil Chacko
February 25, 2015
1. (5.10) Use Tables 5.1 and 5.2 in conjunction with the fact that
X(ej0 ) =
X
x[n]
(1)
n=
to determine the numerical value of
n
X
1
A=
n
2
n=0
(2)
n
2. (5.13) An LTI system with impulse res
ECE 130B: (Mock) Finals
Nikhil Chacko
March 11, 2015
1. Relation between Fourier Transform (FT) and Fourier Series (FS) coefficients: A continuous-time
signal f (t) has its Fourier transform given by the following:
(
, | <
6 1 |
F
*
f (t)
(1)
)
F () =
ECE 130B: Mock Finals (Solutions)
Nikhil Chacko
March 16, 2015
1. Relation between Fourier Transform (FT) and Fourier Series (FS) coefficients: A continuous-time
signal f (t) has its Fourier transform given by the following:
(
, | <
6 1 |
F
*
f (t)
(1)
ECE 130B: Signal Analysis
Instructor: Prof. Hua Lee
Nikhil Chacko (Teaching Assistant)
Graduate Student, Systems Bioimaging Lab
Electrical and Computer Engineering
University of California, Santa Barbara
February 25, 2015
ECE 130A: (Analog) Signal Analysi
ECE 130B: Homework/Midterm Solutions
Nikhil Chacko
March 15, 2015
Homework 1:
1. (7.3) For real signals, according to the Nyquist sampling criterion, the sampling step should satisfy the following
to avoid aliasing:
t <
(1)
max
where max = 2fmax denotes t
ECE130B
January 18, 2014
Home Work 3
Due date: January 27, 2014 by 5p.m. at the home work box.
Reading assignment. Chapter 3 of the text book.
Discrete time Fourier series. Let x[n] be a discrete periodic signal of period N . That is x[n + N ] =
x[n] for
ECE130B
February 13, 2014
Homework 6
Due date: February 24, 2014, by 11:59p.m. at the homework box.
Reading assignment: Chapter 2 of the text book.
Exercise 1. Find all zero-input responses and all impulse-responses of the following dierence equations:
1.
ECE130B
Jan. 12, 2014
Home work 2
Due date: Jan. 20, 2014 by 5 p.m. at the home work box.
Reading assignment. Chapter 3 of the text book, including both discrete and continuous Fourier
series.
Square wave. A square wave of period T is denoted by s(t) and
1
Homework 1
Exercise 2.
Phase of the tone controls its initial value. With cos(o n/fs +o ), if o = 00 a click would be heard because of the initial value of 1 whereas with o = 900 there would be a smooth beginning. Suciently high sampling rate is require
ECE130B
Jan. 3, 2010
Home Work 1
Due date: Jan. 11, 2010 by 5 p.m. at the ECE130B homework boxes. Reading assignment. Please read chapter 1 of the textbook, especially the parts concerned with digital signals and systems. Revise chapter three on the Fouri
ECE130B
Jan. 10, 2010
Home work 2
Due date: Jan. 20, 2010 (Wednesday), by 5 p.m. at the home work box. Reading assignment. Chapter 3 of the text book, including both discrete and continuous Fourier series. Square wave. A square wave of period T is denoted
ECE130B
January 20, 2010
Home Work 3
Due date: January 27, 2010 by 5p.m. at the home work box. Reading assignment. Chapter 3 of the text book. Exercise 1. Suppose you sample the continuous signal ej0 t at the rate of fs samples per second (with the rst sa
ECE130B
Jan. 26, 2010
Home work 4
Due date: Monday, February 1, 2010, by 5p.m. at the home work box. Exercise 1. Given a length N signal x[n], nd the number of arithmetic operations that the algorithm you implemented in Home Work 3, Exercise 4, requires.
ECE130B
February 3, 2010
Home Work 5
Due date: February 8, 2010 by 5p.m. at the home work box. Exercise 1. Inverse FFT. In Home Work 4 you wrote code to rapidly compute the Fourier series coefficients of a discrete signal (FFT). Write a similar code to ra
ECE130B
February 8, 2010
Home work 6
Cheat sheet. You probably want to assemble most of the formulae in this home work into your cheat sheet for the mid-terms and the nals. Your cheat sheet can only contain formulae and properties; no proofs, or procedure