Adapted Discrete Wavelet Function Design for ECG Signal Analysis

The main task in wavelet analysis (decomposition and reconstruction) is to find a good wavelet function (mother wavelet) to perform an optimal decomposition. The goal of most wavelet researches is to create a set of basis functions and transforms that will give an informative, efficient and useful description of a signal. It is better if the wavelet function is adapted to the signal, because the computational costs can be reduced and more accurate analysis can be obtained. This paper presents a discrete wavelet function synthesizer, which starts from an arbitrary, discretized sequence, to obtain the reconstruction and decomposition filters. The pursued criterion (expected result) is to minimize the reconstruction error between a first or second order approximation and the original signal.