Matlab Sandbox

This is a sandbox example of Matlab. From below picture, we can see the Rx demodulation threshold at certain BER ratio for special modulation scheme. And in theory, BPSK and QPSK curves are identical in terms of BER vs. EB/N0

Matlab plot example

Vector Sum Illustration: e^(j2pi1)*

Euler’s formula: 𝑒^(𝑗ω𝑡) = cos(ωt) + jsin(ωt)

Real signal

Impendence matching on smith chart

There is a typo in above animation. I hope you can capture it.