Question

Using Matlab, write code to generate Three signal components

• We will use a sum of sinusoids, all of which are sampled at 10 kHz.

• Signal 1 should contain a sum of sinusoids with frequencies at 25Hz, 40Hz and 75Hz.
• Signal 2 should contain a sum of sinusoids with frequencies at 600Hz, 730Hz, and 800Hz.
• Signal 3 should contain a sum of sinusoids with frequencies at 3500Hz, 4000Hz, and 4200Hz.

• Choose a variety of amplitudes and phase shifts for the sinusoids.
• Plot 500-points time waveform of signal 1, signal 2 and signal 3.

Answer 1

Hello,
Please find the answer attached below. If the answer has helped you please give a thumbs up rating. Thank you and have a nice day!

*********** Matlab Code **********

fs = 10000;
Ts = 1/fs;
t = 0:Ts:499*Ts; % 500 points for time
x1 = sin(2*pi*25*t) + 2*sin(2*pi*40*t+0.8) + 1.5*sin(2*pi*75*t);
x2 = 2.5*sin(2*pi*600*t + 1.5) + sin(2*pi*730*t) + 1.5*sin(2*pi*800*t);
x3 = 0.8*sin(2*pi*3500*t) + sin(2*pi*4000*t) + 1.5*sin(2*pi*4200*t);
%% plotting
subplot(3,1,1);
plot(t,x1,'LineWidth',2);
grid;
xlabel('Time(s)');
ylabel('Amplitude');
title('X1');

subplot(3,1,2);
plot(t,x2,'LineWidth',2);
grid;
xlabel('Time(s)');
ylabel('Amplitude');
title('X2');

subplot(3,1,3);
plot(t,x3,'LineWidth',2);
grid;
xlabel('Time(s)');
ylabel('Amplitude');
title('X3');

********** Output **********

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