Generalized Sidelobe Canceller (GSC) Algorithm for Adaptive Beamforming

In this paper, we introduce a novel adaptive beamforming algorithm based on the Generalized Sidelobe Canceller (GSC) framework. The algorithm implementation includes MATLAB code demonstrating how to construct the fixed beamforming branch and adaptive noise cancellation branch, with key functions handling covariance matrix estimation and weight vector computation. Our detailed implementation covers the design methodology using blocking matrices for interference suppression and adaptive filters for noise cancellation. Through MATLAB simulations, we validate the algorithm's effectiveness across diverse signal and noise scenarios, including varying interference angles and SNR levels. The simulation results demonstrate that this adaptive beamforming technique effectively suppresses sidelobes and enhances signal reception quality in different noise environments. Additionally, we discuss potential applications in radar systems, wireless communications, and acoustic signal processing, highlighting how the GSC structure can be modified for sector-specific requirements through parameter adjustments in the constraint matrix and adaptive filter configurations.