MATLAB Implementation of 64-QAM Digital Modulation System with BER Analysis

This MATLAB code implements a complete 64-QAM (Quadrature Amplitude Modulation) digital communication system. The code demonstrates the fundamental process of converting digital data into analog signals for transmission and reception in communication systems. By employing high-order modulation schemes like 64-QAM, the implementation shows how to achieve higher data rates within limited spectral bandwidth. The implementation includes key components: - Constellation mapping using 8×8 grid formation with Gray coding for optimal bit-to-symbol assignment - Pulse shaping filters (raised cosine) for bandwidth-efficient transmission - AWGN channel simulation with configurable SNR levels - Maximum likelihood detection for demodulation - Bit Error Rate (BER) calculation and performance comparison with theoretical values The code structure features modular functions for modulation, demodulation, and channel simulation, allowing easy parameter customization. Users can modify parameters like SNR range, number of transmitted symbols, and filter characteristics to analyze system performance under different conditions. This implementation serves as an educational tool for understanding digital modulation principles and can be adapted for custom communication system development. The BER analysis module provides quantitative performance evaluation, making it suitable for both academic learning and practical system design applications.