x(t) = A sin(w0t + Ø) exp(-at)

 Construct an exponentially damped sinusoidal signal given by
x(t) = A sin(w0t + Ø) exp(-at)

Answer 1

[Yazan]

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');