In this post, we will derive the theoretical equation for bit error rate (BER) with Binary Phase Shift Keying (BPSK) modulation scheme in Additive White Gaussian Noise (AWGN) channel. The BER results obtained using Matlab/Octave & Python simulation scripts show good agreement with the derived theoretical results.
System Model
Transmitter
With Binary Phase Shift Keying (BPSK), the binary digits 1 and 0 maybe represented by the analog levels and
respectively. The system model is as shown in the Figure below.