Source Code Implementation and Comparative Analysis of ZF and MMSE Algorithms with Serial Interference Cancellation

In this paper, we conduct an in-depth exploration of the source code implementations for both Zero-Forcing (ZF) and Minimum Mean Square Error (MMSE) algorithms, accompanied by detailed simulations. The implementation features matrix inversion operations using pinv() function for ZF and incorporates regularization parameters for MMSE to handle noise variance. Additionally, we introduce and simulate the serial interference cancellation technique, which iteratively detects and removes interfering signals using decision feedback loops. We provide comprehensive explanations of the theoretical principles and implementation processes, including key MATLAB functions such as channel estimation, signal detection, and error rate calculation. The discussion covers practical applications in signal processing systems, particularly in MIMO wireless communications where these algorithms are crucial for interference mitigation. Through this study, readers will gain deep insights into the performance characteristics and advantages of each algorithm, understanding how to effectively employ them in real-world scenarios to enhance system performance and computational efficiency. The code structure demonstrates proper handling of channel state information and includes benchmarking metrics for comparing detection accuracy under various signal-to-noise ratio conditions.