x(t) = A sin(w0t + Ø) exp(-at)

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Poorneshwari L L
Poorneshwari L L 2021-8-10
编辑： Yazan 2021-8-10 
 Construct an exponentially damped sinusoidal signal given by
x(t) = A sin(w0t + Ø) exp(-at)

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Yazan
Yazan 2021-8-10
编辑：Yazan 2021-8-10
Ran in:
clc, clear
% sampling frequency
fs = 1;
% sampling period
Ts = 1/fs;
% sinusoidal frequency
f0 = 0.01*fs; % Hz
w0 = 2*pi*f0;
% initial phase
phi0 = pi/16;
% time vector
T = 5*(1/f0);
t = 0:Ts:T;
% amplitude
A = 1;
% to control exponential decay
a = 0.01;
% signal
x = A*sin(w0.*t + phi0).*exp(-a.*t);
% plot
figure, plot(t, x, '-o');
grid minor
axis tight
xlabel('Time - sec');
ylabel('Amplitude');

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