Wavelet Algorithm Application for Filtering and Local Correlation Operations in Radar Systems

I developed a comprehensive radar signal processing system utilizing wavelet algorithms for both filtering and local correlation operations. The implementation involved creating custom MATLAB functions for wavelet decomposition (using db4 wavelet family) and reconstruction, alongside cross-correlation algorithms with sliding window techniques. Key technical components include: multi-level wavelet threshold denoising for signal preprocessing, localized cross-correlation computation with adjustable window sizes for precise time delay estimation, and peak detection algorithms for accurate time-of-arrival measurements. The system successfully processes radar return signals by first applying wavelet-based noise reduction, then performing localized correlation analysis to determine signal propagation delays between transmitter and receiver pairs. This implementation significantly enhanced my understanding of wavelet transform properties and their practical applications in time-frequency analysis for radar systems. The project demonstrated particular effectiveness in handling non-stationary signals and improved resolution compared to traditional Fourier-based methods.