The 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
The 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
Efficiency of algorithms of adaptive time sampling (ATS) is defined by signal compressibility. For a theoretical assessment compressibility of measuring signals dependence of the current step of measurement at ATS from dynamic properties of a signal is considered. Restoration of a signal in the course of ATS is made by an extrapolation polynom of Taylor of the first degree. Quality of approximation is established by criterion of uniform approach. For structural model of a signal the functional dependence of the current step of measurement on structural properties of a signal allowing determining on its basis the average duration of a step of measurement at ATS for expanded area of an admissible error of reproduction is received. The results received in the environment of Mathcad, illustrating restoration of a signal a polynom of the first degree, the discrete phase schedule and the current step of measurement corresponding to him on the phase plane are given as an example.
Keywords: Adaptive time sampling, measurement step, signals structural features, extrapolation, playback accuracy
In the article elements of the distributed systems using the principle of scanning for analog digital conversion and a data interchange are considered. The main attention is paid to the unrolling analog digital conversion of signals with further restoration of analog data with the given accuracy. Distinctive feature of the unrolling conversion is that value of counting of a signal contains information on time from the beginning of conversion. The formulas connecting value of counting of an analog signal over time of counting taking are given in article. This feature is used further for upgrade of formulas of Lagrange. In operation restoration of analog signals with use of formulas of Lagrange after their sampling on time using the unrolling analog digital conversion is considered. It is shown that use of the upgraded Lagrange's formulas doesn't lead to increase in computing expenses, but requires for restoration only value of counting.
Keywords: analog digital conversion, scanning analog digital conversion, restoration of analog signals, restoration of signals with use of formulas of Lagrange
The article introduces the concept deployer of high speed analog-to-digital conversion to reduce the dynamic error of the 2nd kind. It is shown that the use of high-speed deployer conversion leads to unequal capture samples of the signal. Considered the ratio of the period of the capture signal samples at a uniform sampling rate and sampling using high-speed deployer conversion, for a given interpolation error. The estimated coefficient linking the period of the uniform sampling and the period razvarivaya functions. It is shown that the recovery of signals by the Lagrange polynomial of the first degree and the use of high-speed deployer conversion, the scan period must be two times less than the period of the capture signal samples at a uniform sampling.
Keywords: the dynamic error of the 2nd kind, the discretization of signals in time, razvenchivayuschie analog-to-digital conversion, the period razvarivaya functions