MPSK (BPSK, QPSK, 8PSK) Simulation with Theoretical and Experimental Results Using Gray Coding

This m-file simulates MPSK (BPSK, QPSK, 8PSK) modulation with Gray coding and provides both theoretical and simulated performance results. The implementation includes numerical examples of satellite link design using QPSK and/or 8PSK modulation when the bit rate (Rb) exceeds the channel bandwidth Wc (band-limited channel conditions). The code features constellation generation with Gray-coded symbol mapping, AWGN channel simulation, and BER calculation using both theoretical formulas and Monte Carlo simulation methods. Additionally, the following enhancements could be considered for extending this implementation: - Add detailed explanations of MPSK modulation principles, Gray coding advantages for error reduction, and implementation methodology including constellation mapping algorithms and demodulation techniques - Provide additional numerical examples and graphical comparisons showing performance differences between various MPSK schemes under different bit rate and channel bandwidth constraints, including spectral efficiency analysis - Explore MPSK applications in other communication systems such as wireless communications and optical communications, with code implementations analyzing their respective advantages and limitations - Incorporate references to relevant research literature and technical standards, providing background information and additional resources for further study - Implement potential improvements and extensions such as channel coding integration (e.g., convolutional codes, LDPC), adaptive modulation schemes that automatically select optimal MPSK order based on channel conditions, and performance optimization techniques