Create a DSB$-$SC AM modulator and demodulator. The communication network will have the following parameters. Use a sampling rate $1000x$ larger than the maximum Nyquist bandwidth.

a$.m(t)=cos(2100t)$

b$.f_c=600Hz$

For Credit show a scope with the signal $m(t)$ before and after modulation and demodulation. One Scope Only!

$2.$ Extra Credit $(5$pts$)$: Create a DSB$+$C AM communication network plus a simulated envelope detector with the following parameters. See page $196-197$ of the text book for a reference. Use a sampling rate $1000$x larger than the maximum Nyquist bandwidth.

a$.m(t)=cos(2100t)$

b$.f_c=6000Hz$

For Credit show a scope with the signal $m(t)$ before and after modulation and demodulation. One Scope Only!

$3.$ Extra Credit $(5$pts$)$: Create a QAM communication network with the following parameters. Use a sampling rate $1000$ larger than the maximum Nyquist bandwidth.

a$.m_1(t)=cos(2100t)$

b$.m_2(t)=cos(2300t)$

c$.f_c=800Hz$

For Credit show a scope with the signal $m_1(t)$ and $m_2(t)$ before and after modulation and demodulation. Two Scopes Only!

$4.$ Extra Credit $(10$pts$)$: Create a $16-$ QAM communication network with the following parameters. Use a bit rate of $100$ bit$/$s$.$ Select your sample rate accordingly.

a$.m_1(t)=\sqrt[\phantom{2}]{M}-$ary data

b$.m_2(t)=\sqrt[\phantom{2}]{M}-$ary data

c$.f_c=100kHz$

Construct two channels one with "AWGN" and one without