ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 7
1. Problem 3.12
(a) For the given parameters, the instantaneous frequency equals
fi (t) = f1 +
f2 f1
t = 1 + 4t
T2
(Hz).
The phase function (t) is therefore equal to
(t) = 2
ECE 201: Introduction to Electrical Engineering II Prof. B.-P. Paris Solution to Homework 6 1. Problem 3.1 (a) x(t) = A exp(j2(fc - f )t) + B exp(j2(fc + f )t) (b) In contrast to the instructions in the problem statement, I believe this problem is best so
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 9
1. Problem 5.7
(a) linear, not time-invariant, causal
(b) linear, time-invariant, causal
(c) not linear, time-invariant, causal
(d) not linear, time-invariant, causal.
2. Pr
ECE 201: Introduction to Signal Analysis Prof. B.-P. Paris Solution to Homework 5 1. Problem 2.9
3 cos( t) 2
0
2sin(0 t +45 )
o
Sum
1
0
-1
-2
-3 -1
-0.5
0
0.5 Time
1
1.5
2
Figure 1: Plot for Problem 2.9 (a) x(t) 2.8 cos(0 t - 30o ) (b) The plot in Figure
ECE 201: Introduction to Signal Analysis Prof. B.-P. Paris Solution to Homework 7 1. Problem 4.1 (a) Frequency is f = 440, this period is T = T per period is Ts = 22.73.
1 . 440
Number of samples
(b) Choose, for example, rst alias frequency fa = f + f s =
John Tigmo
Ece 201 lab
October 6, 2010
> signal(1,2,pi/2,-1,0,5,1000)
Lab 4 is invoked
function [ xx,tt ] = signal( A,f,ph,B,start,endtime,samp)
% This function will generate signals of the form A*cos(2*pi*ft+A)+B
while(isreal(A)=0 |A<0)%checks to make su
John Tigmo, Introduction to Engineering 107-004 September 9, 2009
An Electrical Research Engineer is one of the core positions in the
development of new technology and devices. They work in laboratories
testing and inventing new electrical technologies. A
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 9
1. Problem 5.1
(a) See Figure 1.
(b) y [n] = cfw_0, 0, 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1, 1, 1, 1, 1, 1, 1 over the range
5 n 10.
(c) See Figure 1.
(d)
y [n] =
0
n+1
L
1
for n
3ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 5: Transistor Fundamentals
Name: John Tigmo
Date of Experiment: March 31st, 2010
Date of Submission: April 14th, 2010
Objective and Theoretical Background:
A transistor is an el
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 6: The Transistor as an Amplifier
Name: John Tigmo
Date of Experiment: April 21st, 2010
Date of Submission: April 27th, 2010
Objective and Theoretical Background:
The objective o
Voltage(V)
Current(mA) Voltage Drop(V)on/of
1.2
0
0 of
1.3
0
0 of
1.4
0.003
0 of
1.5
0.023
0.1 of
1.6
0.07
0.1 of
1.7
0.134
0.2 on
1.8
0.204
0.3 on
1.9
0.282
0.3 on
2
0.386
0.4 on
2.5
0.827
0.9 on
3
1.288
1.4 on
3.5
1.693
1.8 on
4
2.123
2.3 on
4.5
2.593
2
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 4: A Simple Filtering
Name: John Tigmo
Date of Experiment: March 29, 2010
Date of Submission: March 30, 2010
Objective and Theoretical Background:
The capacitor or the electrical
ECE 201 - Introduction to Signal Analysis
Fall 2016
Lab 4: MATLAB Functions
In this assignment, you will write a MATLAB function and call it in another program. Your
function should generate the sum of N sinusoids with specified parameters. In short, you
ECE 201 - Introduction to Signal Analysis
Fall 2016
Lab 1: Introduction to MATLAB
In this assignment, you will generate a matrix which contains grades of 5 students for 3 tests. You
will learn how to replace the elements in a matrix, convert row vectors t
ECE 201 - Introduction to Signal Analysis
Fall 2016
Lab 2: Plotting in MATLAB
The objective of this lab is to learn about MATLAB visualization tools and plotting commands.
Also, we will be using the MATLAB script editor for programming. To solve the follo
ECE 201 - Introduction to Signal Analysis
Fall 2016
Lab 5: Complex Exponentials
The objective of this lab is to generate complex exponentials, plot their real and imaginary parts, and
practice phasor addition rule in MATLAB. This set of instructions is ad
ECE 201 - Introduction to Signal Analysis
Fall 2016
Lab 3: Complex Numbers in MATLAB
The objective of this lab is to learn about different MATLAB functions which operate on complex
numbers.
1. Download the file Complex.mat from the course website and plac
Plotting in MATLAB
LAB 2
1
ECE 201 Lab Fall 2016
2-D Plots in MATLAB
Different types of 2-D Plots:
Basic line plots:
> plot(x,y)
Stem plots:
> stem(x,y)
Other types:
bar, area, stairs, loglog etc.
2
ECE 201 Lab Fall 2016
Generating Functions/Signals
Cr
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 1: DC Circuts
Name: John Tigmo
Date of Experiment: February 17th, 2010
Date of Submission: February 3rd, 2010
Objective and Theoretical Background:
A voltage occurs when there is
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 0: Introduction to Electrical Engineering Laboratory Fundamentals
Name: John Tigmo
Date of Experiment: January 27th, 2010
Date of Submission: February 3rd, 2010
Objective and The
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 7: Combinatorial Logic
Name: John Tigmo
Date of Experiment: April 21st, 2010
Date of Submission: April 27th, 2010
Objective and Theoretical Background:
Logic gates have many appl
ECE 201: Introduction to Electrical Engineering II
Prof. B.-P. Paris
Solution to Homework 10
1. Problem 5.8
(a) See Figure 1.
(b) We denote the signal given in part (b) by xb [n] (= 7 [n] 7 [n 2])
to distinguish it from the signal x[n] (= [n] [n 1]) in th
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 11
1. Problem 6.7
(a) Begin by expanding the product
H ( ) = (1 + ej )(1 ej 2/3 ej )(1 ej 2/3 ej )
= (1 + ej )(1 2cos(2/3)ej + ej 2 )
= 1 + (1 2cos(2/3)ej + (1 2cos(2/3)ej 2 +
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 9
1. Problem 5.1
(a) See Figure 1.
(b) y[n] = cfw_0, 0, 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1, 1, 1, 1, 1, 1, 1 over the range
5 n 10.
(c) See Figure 1.
(d)
y[n] =
0
n+1
L
1
for n <
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 10
1. Problem 5.7
(a) linear, not time-invariant, causal
(b) linear, time-invariant, causal
(c) not linear, time-invariant, causal
(d) not linear, time-invariant, causal.
2. P
ECE 201: Introduction to Electrical Engineering II
Prof. B.-P. Paris
Solution to Homework 11
1. Problem 5.8
(a) See Figure 1.
(b) We denote the signal given in part (b) by xb [n] (= 7[n]7[n2])
to distinguish it from the signal x[n] (= [n] [n 1]) in the
in
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 3
1. Problem 2.5
(a) This problem is best solved via the relationship cos(x) = Recfw_ejx .
cos(1 + 2 ) = Recfw_ej(1 +2 ) = Recfw_ej1 ej2
= Recfw_(cos(1 ) + j sin(1 ) (cos(2
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 5
1. Problem 2.9
3
o
2sin(0 t +45 )
cos(0t)
2
Sum
1
0
1
2
3
1
0.5
0
0.5
Time
1
1.5
Figure 1: Plot for Problem 2.9
(a)
x(t) 2.8 cos(0 t 30o )
(b) The plot in Figure 1 contains
ECE 201: Introduction to Signal Analysis
Prof. B.-P. Paris
Solution to Homework 4
1. Problem A.3
(a) z = j
(b) z = 1
(c) z = (1)n , which equals 1 for even n and 1 for odd n.
2
2
(d) First answer: z =
(1 + j), second answer: z =
2
2
(1 + j)
2. Problem
Introduction to MATLAB
LAB 1
1
ECE 201 Lab Fall 2016
Basics of MATLAB
MATrix LABoratory
A super-powerful graphing calculator
Matrix based numeric computation
Embedded functions
Also a programming environment
User defined functions
Commands executed
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 3: Introduction to the Oscilloscope
Name: John Tigmo
Date of Experiment: March 1st, 2010
Date of Submission: March 17th, 2010
Objective and Theoretical Background:
An oscilloscop
ECE 101: Introduction to Information Technology (lab)
Section 202
Laboratory 2: A Simple Communication System
Name: John Tigmo
Date of Experiment: February 17th, 2010
Date of Submission: March 3rd, 2010
Objective and Theoretical Background:
Encoding a mes