Dependence of the current step of measurement at adaptive temporary sampling in case of restoration of a signal an interpolation polynom of zero degree
Abstract
Dependence of the current step of measurement at adaptive temporary sampling in case of restoration of a signal an interpolation polynom of zero degree
Incoming article date: 10.12.2017The efficiency of algorithms of the adaptive temporal sampling (ATS) is defined by compression ratio 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. Based on the dependence of the current clock period of measurement on dynamic properties of a signal received earlier, formulas for assessment of value of a clock period of measurement in case of interpolation are received by Lagrange's polynomial of a 0th level and a class of the signals restricted to the selected structural model. The functional dependence of the current clock period of measurement from structural properties of a signal, in case of Lagrange's polynomial of a 0th level, allows to determine the average duration of a clock period of measurement in case of ATS. Value of average duration of a clock period of measurement in case of ATS allows to estimate value of compression ratio a priori. As assessment of an error of approximation it is selected, often used in case of restoration of signals, criterion of uniform approximation.
Keywords: adaptive temporary sampling, measurement step, structural properties of a signal, interpolation, Lagrange's polynom, reproduction error