Signal processing

摘要

A data processing method and apparatus utilising said method, employs a novel Gradiometer Transform technique of analysing data. The technique is useful in a range of fields including electrophysiology. non-destructive testing and geoscience. It is particularly applicable to the extraction of signals and other information from data subject to noise and/or background drift. The technique mimics the operation of physical gradiometer devices, but provides greater flexibility of use than physical devices of this type. The method comprises generating a plurality of components of a gradiometer transform by correlating a normalised data-set with a plurality of gradiometer step functions of differing orders. Said step functions are selected to successively eliminate components of a Taylor expansion of said data-set. The data-set may comprise sampled data and said correlation of the data-set with said step functions is performed using a modified data set in which each data sample is replaced by a piecewise continuous rectangular step function. The method may include a subsequent step of calculating a plurality of coefficients of at least one polynomial representing said data-set.