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Halit Dagtan 2022-1-8

关闭： John D'Errico 2022-1-8

It is recommended to do the homework using MATLAB orOCTAVE.

m(t) message signal expressed below

***** m(t) =sinc(100t), if ItI≤ to ********

****** 0, otherwise ********

c(t) = cos(2πfct) modulates the carrier signal by FM technique(fc = 250 Hz and t0 = 0.1).

Frequency-deviation constant is given as kf = 100.

1. Plot the message signal and the integral of the messagesignal on two separate graphs. Sampling range

Assume (sampling interval) ts = 0.0001.

2. Draw the FM signal u(t).

3. Calculate the spectra of m(t) and u(t) signals usingMATLAB's Fourier transform techniques and plot them on two separate graphs

4. Get the message signal by demodulating the FM signal u(t) and get the result with the original message signal

compare. The demodulation of the FM signal is firstperformed by finding the phase of u(t), and then

It can be found by taking its derivative and dividing by 2πkf. the demodulated signal to the original message signal.

Comment on how close it is and explain the reasons for thedifferences.

˙Hint: You can use MATLAB's unwrap.m function to correct2π-phase folds

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