Multiresolution Decomposition Using the A Trous Algorithm

Implementation of multiresolution decomposition using the À Trous algorithm, which simultaneously provides details and approximations at each decomposition level, maintaining identical length with the original data throughout the process.

ECG Signal Processing: Wavelet Transform Modulus Maxima Detection and Multiresolution Analysis

This implementation consists of three core functions: the primary function reads ECG signals and detects wavelet transform modulus maxima sequences; a subroutine performs multiresolution decomposition using the à trous algorithm, preserving original data length while producing detail and approximation coefficients at each level; and a reconstruction function for multiresolution analysis. The system enables comprehensive ECG signal analysis for cardiac condition detection.