A wavelet-based genetic algorithm for compression and de-noising of chromatograms

A wavelet-based genetic algorithm using real-number coding and arithmetical crossover method in signal processing is described in this work. Due to th e characteristic of the wavelet, an analytical signal can be represented by a finite linear combination of wavelet-based functions. Using a wavelet-ba sed genetic algorithm to find the coefficients to such representation, an a nalytical signal can be reconstructed by the coefficients and the correspon ding elementary function; Therefore the method can be used to compress and de-noise analytical signals because the insignificant information such as n oise will not be reserved in the reconstructed signal. Both simulated-signa ls and experimental multicomponent chromatograms are successfully compresse d and de-noised with the proposed algorithm.