A novel algorithm of the wavelet packets transform and its application to de-noising of analytical signals

A novel algorithm of the wavelet packets transform which is more suitable t han the multiresolution signal decomposition (MRSD) algorithm to process th e practical signals in analytical instrumental analysis, was proposed. Ther e is no limitation of data length for the algorithm like the MRSD algorithm and, sometimes, no need to perform the inverse transform in practical uses by the algorithm. Two methods for de-noising were proposed based on the al gorithm, and application of the methods to de-noising of noisy chromatogram s was investigated. The results showed that the efficiency of the proposed methods is higher than that of the conventional thresholding methods.