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Digital Signal Processing With Application of Basic Splines

By means of transformations of spectra of sequences B-splines the inequality establishing communication between energy high-frequency making spline-approach of a signal and size of a step of digitization is proved. This inequality proves to be true calculations on a number of concrete models of signals of the various physical nature. Computer processing was spent for the tables representing cuts of readout temperature, gravitational and magnetic water. Results confirm a conclusion of the theory that energy of a mistake of the approximation caused by high-frequency components of sequence B-splines, with change of size of a step of readout changes proportionally its first degree. Keywords