Least Squares Deconvolution Code

Resource Overview

MATLAB implementation of least squares deconvolution algorithm, a widely used method in geophysical sciences for signal processing and noise reduction.

Detailed Documentation

This package provides a least squares deconvolution implementation written in MATLAB. The deconvolution method is commonly employed in geophysical applications for signal enhancement and noise removal. The code utilizes linear regression techniques to separate desired signals from observed data containing noise components. The algorithm works by analyzing the signal spectrum and constructing an inverse filter through spectral inversion, which effectively removes complex noise patterns from the input signal. Key implementation features include: - Matrix-based computation for efficient linear system solving - Spectral analysis using Fast Fourier Transform (FFT) operations - Regularization techniques to handle ill-conditioned problems - Automated parameter optimization for filter design This implementation was specifically developed to assist geophysics researchers in processing seismic data, well logs, and other geophysical measurements where signal clarity is crucial for accurate interpretation. The code includes functions for data preprocessing, filter coefficient calculation, and result validation to ensure robust performance across various geophysical datasets.