Generalized Cross-Correlation Function for DOA Estimation

The GCC (Generalized Cross-Correlation) method for DOA (Direction of Arrival) estimation is a comprehensive approach supporting various weighting schemes and cross-correlation functions. Among these, the PHAT (Phase Transform) weighting demonstrates superior performance. Algorithm implementation typically involves computing cross-power spectral density through FFT, applying spectral weighting, and inverse transforming to obtain the generalized correlation function. GCC computation methods include phase-based approaches (like SCOT), energy-based methods, and traditional cross-correlation techniques. The core MATLAB implementation would utilize xcorr functions with customized weighting filters in the frequency domain. Furthermore, GCC finds extensive applications in audio signal processing including speech recognition and acoustic source localization systems. The method proves particularly valuable in sound processing scenarios, enabling enhanced understanding and manipulation of acoustic signals through robust time-delay estimation.