GENERAL PROBLEMS IN METROLOGY AND MEASUREMENT ENGINEERING: APPLICATION OF BASIC SPLINES FOR SAMPLING MULTIDIMENSIONAL SIGNALS OF FINITE DURATION

摘要

We investigate limitations of sampling theory for signals with finite spectra, which are particularly prone to appearance during measurements in multidimensional spaces. We present a method for sampling with several arguments, using basic splines. Fourier transforms, and the Parseval equality. We present an example of adaptive optimization of the sampling grid for a magnetic field that is associated with a spectrum of multidimensional signals having fractal similarity.