MATLAB Simulation of Adaptive Filters and Equalizers Based on Steepest Descent Method

This is a custom-developed MATLAB simulation program for adaptive filters and equalizers implementing algorithms such as the Steepest Descent Method and MMSE (Minimum Mean Square Error). The program enables simulation and performance testing of various filtering and equalization algorithms, featuring implementations of gradient-based optimization techniques and statistical signal processing methods. Key components include adaptive step-size control mechanisms, convergence monitoring functions, and real-time coefficient update routines using matrix operations and iterative optimization approaches. This toolkit assists researchers and engineers in understanding and applying adaptive filtering and equalization techniques to enhance signal processing and communication system performance. The simulation environment supports algorithm customization through modular function design, including configurable filter structures, noise generation modules, and performance metric calculations (MSE, BER). Additionally, it serves educational purposes by providing interactive visualization tools for algorithm behavior analysis and step-by-step convergence demonstrations, making it a valuable resource for both research and practical applications in signal processing and communications engineering.