Applied mathematics. Assignment attached

Question

Sandeep · Accepted Answer

que1.m
clc;
clear all;
close all;
t=0:0.01:20;
f= exp(-t).*cos(9.*t);
figure;
plot(t,f)
xlabel('t------>')
ylabel('f------>')
title('Plot of f vs t')
clc;
clear all;
close all;
Fsamp = 100;            % Sampling frequency                    
T = 1/Fsamp;             % Sampling period       
L = 150;             % Length of signal
t = (0:L-1)*T;        % Time vector
f= exp(-t).*cos(9.*t);
Y = fft(f);
Part2 = abs(Y/L);
Part1 = Part2(1:L/2+1);
Part1(2:end-1) = 2*Part1(2:end-1);
f = Fsamp*(0:(L/2))/L;
figure;
plot(f,Part1) 
title('Amplitude Spectrum of X(t)')
xlabel('f (Hz)')
ylabel('|(f)|')
que3.m
clc;
clear all;
close all;
f1=0;
t=-3:0.01:3;
f1= (9-t.^2).*sin(8.*t);
figure;
plot(t,f1)
xlabel('t------>')
ylabel('f------>')
title('Plot of f vs t')
clc;
clear all;
close all;
Fsamp = 100;            % Sampling frequency                    
T = 1/Fsamp;             % Sampling period       
L = 11;             % Length of signal
t = (-L+1:L-1)*T;        % Time vector
f= (9-t.^2).*sin(8.*t);
Y = fft(f);
Part2 = abs(Y/L);
Part1 = Part2(1:L/2+1);
Part1(2:end-1) = 2*Part1(2:end-1);
f = Fsamp*(0:(L/2))/L;
figure;
plot(f,

Applied mathematics. Assignment attached

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