Monte Carlo Simulation of 4PSK Communication System

Monte Carlo simulation requirements for 4PSK communication system: (1) Plot four distinct phase modulation waveforms of 4PSK signals; (2) For an additive white Gaussian noise channel (mean=0, variance=1), display Monte Carlo simulation results of transmitting 1000 symbols under varying SNR conditions. The plot should use signal-to-noise ratio as x-axis and bit error rate as y-axis, comparing both actual BER (measured) and theoretical BER. Implementation requires programming with MATLAB or similar software tools, involving constellation mapping, noise generation, and BER calculation algorithms.