Dependence of the current step of measurement on structural properties of a signal at adaptive temporary sampling of interpolation type
Abstract
Dependence of the current step of measurement on structural properties of a signal at adaptive temporary sampling of interpolation type
Incoming article date: 09.12.2017The efficiency of algorithms of the adaptive temporal sampling (ATS) is defined by compressibility of an analog signal. For the purpose of prior assessment of compressibility of measuring signals the dependence of the current clock period of measurement in case of ATS from dynamic properties of a signal is considered. Depending on a priori known characteristics of dynamic properties of signals and the given error of approximation select a method of interpolation or extrapolation. In article the dependence of the current clock period of measurement on differential properties of a signal for an ideal algorithm of ATS of interpolation type is received. Restoration of a signal after ATS an interpolation polynomial of Lagrange n-oh of a level is supposed. The quality of approximation is set by criterion of uniform approximation. It is shown that the analysis of ideal ATS of interpolation type comes down to the analysis of the equivalent on value of a section of approximation of ideal ATS of extrapolation type.
Keywords: Adaptive temporary sampling, measurement step, structural properties of a signal, interpolation, reproduction error