BPSK, MSK, QAM, and GMSK Modulation with BER Simulation

The following code provides detailed implementations of Binary Phase Shift Keying (BPSK), Minimum Shift Keying (MSK), Quadrature Amplitude Modulation (QAM), and Gaussian Minimum Shift Keying (GMSK) techniques. These MATLAB-compatible implementations feature complete modulation and demodulation chains with integrated BER simulation capabilities. The code structure includes: - Signal generation with random bit sequences - Modulation implementations using appropriate pulse shaping and constellation mapping - AWGN channel simulation with configurable SNR levels - Demodulation algorithms with decision criteria - BER calculation through bit-by-bit comparison between transmitted and received data Key algorithmic features: - BPSK implementation using phase reversal of carrier signal - MSK modulation maintaining continuous phase with minimum frequency separation - QAM with configurable constellation sizes (16-QAM, 64-QAM, etc.) - GMSK employing Gaussian filtering for spectral efficiency - Monte Carlo simulation approach for statistical BER analysis These implementations allow researchers to study modulation techniques' performance characteristics under various channel conditions. The modular code design facilitates easy modification and extension for specific research requirements.