$[60$p$]1.($b$)$ Simulate AM Modulation and demodulation in Octave$/$Matlab

Parameters are used for AM Modulation and Demodulation simulation:

Sampling frequency: $f_s=8000Hz$ To simulate analog signals as digital in Octave$/$Matlab$.$

Baseband signal $($Message or information$)$ : $m(t)=0\mathrm{.}8cos(2f_{m}t),$ one tone signal, $f_m=50Hz.$

Carrier signal: $c(t)=cos(2f_{c}t),f_c=500Hz.$

$1-($a$)$ Plot message signal $m(t)$ in Octave$/$Matlab$.($b$)$ Plot the Fourier Transform of the message signal $m(t)(M(f))$ in Octave$/$Matlab$.$

$2-($a$)$ Plot carrier signal $c(t)$ in Octave$/$Matlab$.($b$)($b$)$ Plot the Fourier Transform of the carrier signal $c(t)(C(f))$ in Octave$/$Matlab$.$

$3-($a$)$ Plot AM modulated signal $S_{AM}(t)=(1+m_{a}m(t)).c(t)$ for modulation index $m_a=0\mathrm{.}8$ in Octave$/$Matlab$.($b$)$ Plot the Fourier Transform of the AM modulated signal $S_{AM}(f)$

$4-$ Simulate coherent demodulation of the AM modulated signal in MATLAB$/$Octave$.$

$5-$ Repeat the simulation steps with $m_a=1$

$6-$ Repeat the simulation steps with $m_a=1\mathrm{.}3$

$7-$Calculate power efficiency of AM signal for $m_a=0\mathrm{.}8,m_a=1$ and $m_a=1\mathrm{.}3$

Write a simulation report, in the report add the Octave$/$Matlab script and plotted figures. Make commends on the results.

Deliveries: Place all deliveries including Octave$/$Matlab script, report, figures in a folder, zip the folder and upload the zip file to the UBIS system.