Hi Rahul,
I understand that you want to synthesize a Double Sideband Suppressed Carrier (DSB-SC) wave using the Fourier series representation of a sinusoidal wave.
I assume you are interested in the basic process of generating a DSB-SC signal from a sinusoidal carrier and message signal using MATLAB.
In order to synthesize a DSB-SC wave using a sinusoidal wave, you can follow the below steps:
Define the Sinusoidal Message Signal:
Create a simple sinusoidal signal that will act as your message signal.
fm = 5; % Message frequency in Hz
t = 0:0.001:1; % Time vector from 0 to 1 second with 1 ms intervals
messageSignal = cos(2*pi*fm*t); % Sinusoidal message signal
Define the Carrier Signal:
Create a sinusoidal carrier signal with a frequency much higher than the message signal.
fc = 50; % Carrier frequency in Hz
carrierSignal = cos(2*pi*fc*t); % Sinusoidal carrier signal
Generate the DSB-SC Signal:
Multiply the message signal with the carrier signal to get the DSB-SC signal.
dsbscSignal = messageSignal .* carrierSignal; % DSB-SC modulation
Plot the Signals:
Visualize the message, carrier, and DSB-SC signals using the "plot" function.
figure;
subplot(3,1,1);
plot(t, messageSignal);
title('Message Signal');
subplot(3,1,2);
plot(t, carrierSignal);
title('Carrier Signal');
subplot(3,1,3);
plot(t, dsbscSignal);
title('DSB-SC Signal');
Analysis Using Fourier Series:
Although the Fourier series is typically used for periodic signals, you can analyze the frequency components of the DSB-SC signal using "fft".
Y = fft(dsbscSignal);
f = (0:length(Y)-1)*(1/max(t));
figure;
plot(f, abs(Y));
xlim([0 100]);
title('Frequency Spectrum of DSB-SC Signal');
Refer to the documentation of "plot" function to know more about the properties supported: https://www.mathworks.com/help/matlab/ref/plot.html
Refer to the documentation of "fft" function for more information: https://www.mathworks.com/help/matlab/ref/fft.html
Hope this helps!
