Generalized Cross-Correlation Time Delay Extraction Algorithm

This document presents a generalized cross-correlation time delay extraction algorithm implemented through MATLAB source code. The algorithm is specifically designed to process non-Gaussian signals in Gaussian white noise environments. The core implementation utilizes advanced correlation techniques and signal processing methods to effectively extract temporal delay information between signals. The MATLAB implementation includes key functions for signal preprocessing, correlation computation, and peak detection algorithms to identify precise time delays. Through this algorithm, users can significantly enhance signal processing capabilities and improve noise suppression mechanisms. The code incorporates configurable parameters for different signal types and noise conditions, allowing for flexible adaptation to various application scenarios. This algorithm proves particularly valuable in extracting meaningful information from signals while minimizing noise interference on signal quality. Its applications span critical domains including communication systems (for synchronization and channel estimation), radar systems (for target localization), and image processing (for feature alignment and registration). Mastering this algorithm provides significant benefits for engineers and researchers working with time-delay estimation and signal enhancement tasks. The implementation features modular design with separate functions for signal normalization, cross-correlation computation using FFT-based methods, and sophisticated peak detection algorithms that ensure accurate delay extraction even in low signal-to-noise ratio conditions.