MPSK Modulation with Gray Coding (Theoretical Analysis and Simulation)

This m-file simulates M-PSK modulation schemes (BPSK, QPSK, 8PSK) using Gray coding, validating results through both theoretical analysis and Monte Carlo simulations. The implementation includes satellite link design examples using QPSK and/or 8PSK when the bit rate (Rb) exceeds the channel bandwidth Wc (band-limited channel), demonstrating spectral efficiency optimization through MATLAB-based constellation mapping and symbol synchronization algorithms.

The simulation incorporates realistic channel impairments including multipath fading and additive white Gaussian noise (AWGN), implemented via Rayleigh fading models and SNR-based noise injection functions to accurately emulate practical communication environments.

In practical applications, MPSK technology finds extensive use in wireless communications, satellite systems, and optical fiber communications, providing high bandwidth efficiency and reliability. The code structure includes modular functions for modulation/demodulation, BER calculation using error counting methods, and performance visualization through plots comparing theoretical and simulated BER curves.