1. Exercise 3 shows the non-zero-centered frequency results. Change the code of exercise 3 to display the zero-centered frequency results and submit the MATLAB programs.
1. Exercise 3 shows the non-zero-centered frequency results. Change the code of exercise 3 to display the zero-centered frequency results and submit the MATLAB programs.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Please assist with coding this Matlab problem exercise. refer to both image for the question. Thank you.
![Exercise 3: Using fft() function, plot the magnitude and phase of the sum of two sine waves.
clear;
close all;
t = 0:1/100:10-1/100;
x = sin(2*pi*15*t) + sin(2*pi*40*t);
figure (1)
plot(t, x)
y = fft(x);
% attention to the number of "y" vector
m = abs(y);
y(m<1e-6) = 8;
plot (f, m)
title('Magnitude')
ax = gca;
ax.XTick = [15 40 60 85];
% Whenever the jump between consecutive angles is greater than or equal to
% π radians, unwrap shifts the angles by adding multiples of ±2π until the
% jump is less than
p= unwrap (angle (y));
f = (0:length (y)-1)*100/length(y);
figure (2)
subplot (2,1,1)
subplot (2,1,2)
plot (f,p*180/pi)
title('Phase')
ax = gca;
ax.XTick= [15 40 60 85];
1.5 H
1
0.5
0
-0.5
-1
-1.5
0
600
400
200
100
50
0
-50
2
-100
15
% Time vector
% Signal
3
15
% Compute DFT of x
Figure (3): Sum of two sine waves in the time domain
% Magnitude
% Phase
% Frequency vector
40
5
40
6
Magnitude
Phase
60
7
60
8
85
9
85
10
Figure (4): Magnitude and phase of the sum of two sine waves](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1296c196-158c-4a2c-9587-82b5996e9fed%2F150657bb-0e0c-4172-bf2f-8fa408b490dc%2F7woa6w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 3: Using fft() function, plot the magnitude and phase of the sum of two sine waves.
clear;
close all;
t = 0:1/100:10-1/100;
x = sin(2*pi*15*t) + sin(2*pi*40*t);
figure (1)
plot(t, x)
y = fft(x);
% attention to the number of "y" vector
m = abs(y);
y(m<1e-6) = 8;
plot (f, m)
title('Magnitude')
ax = gca;
ax.XTick = [15 40 60 85];
% Whenever the jump between consecutive angles is greater than or equal to
% π radians, unwrap shifts the angles by adding multiples of ±2π until the
% jump is less than
p= unwrap (angle (y));
f = (0:length (y)-1)*100/length(y);
figure (2)
subplot (2,1,1)
subplot (2,1,2)
plot (f,p*180/pi)
title('Phase')
ax = gca;
ax.XTick= [15 40 60 85];
1.5 H
1
0.5
0
-0.5
-1
-1.5
0
600
400
200
100
50
0
-50
2
-100
15
% Time vector
% Signal
3
15
% Compute DFT of x
Figure (3): Sum of two sine waves in the time domain
% Magnitude
% Phase
% Frequency vector
40
5
40
6
Magnitude
Phase
60
7
60
8
85
9
85
10
Figure (4): Magnitude and phase of the sum of two sine waves
Transcribed Image Text:1. Exercise 3 shows the non-zero-centered frequency results. Change the code of exercise 3 to display the zero-centered
frequency results and submit the MATLAB programs.
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