Implementation of Constant Modulus Blind Equalization Algorithm

This code is designed to generate a 16QAM (Quadrature Amplitude Modulation) signal. The implementation begins by transmitting the signal through an Additive White Gaussian Noise (AWGN) channel to simulate real-world communication conditions. Subsequently, the Constant Modulus Algorithm (CMA), a widely-used blind equalization technique, is applied to compensate for channel distortions without requiring training sequences. Key implementation aspects include: - 16QAM symbol mapping using rectangular constellation points - AWGN channel modeling with configurable signal-to-noise ratio (SNR) parameters - CMA equalizer implementation with adaptive filter coefficients updated using stochastic gradient descent - Convergence monitoring through error signal evolution tracking The code outputs two critical analytical plots: a constellation diagram showing the recovered symbol points after equalization, and a convergence plot displaying the algorithm's learning curve. These visualizations are particularly valuable for assessing signal quality metrics like EVM (Error Vector Magnitude) and evaluating communication system performance. The implementation serves as an excellent tool for understanding signal transmission characteristics and optimizing digital communication systems, making it highly relevant for both research and development applications in telecommunications engineering.