SU560231A1 - Multichannel analyzer of stochastic relations of random processes - Google Patents

Description

one

The invention relates to specialized computer aids for instrumental determination of statistical characteristics of random processes.

A multichannel device 1 is known for analyzing linear stochastic communications of random processes, which contains a set of measuring units — channels, the number of which is determined by the number of measured ordinates of the correlation function.

However, such a device is ineffective in the study of processes with nonlinear connections. Its use in such situations can lead to erroneous conclusions.

It is also known the closest in technical solution to the invention a device (analyzer) for estimating the dispersion functions of processes 2, containing normalizers whose inputs are the inputs of the analyzer, and the outputs are connected respectively to the correlometer inputs.

The disadvantage of this single-channel device is the limited ability to analyze stochastic connections of random processes, i.e., a narrow class of problems to be solved, due to the type of measured characteristic.

The purpose of the invention is to create a device that allows to measure the function of a collision and

on this basis, analyze random processes with both linear and nonlinear stochastic relations, i.e., expand the class of problems to be solved.

This is achieved by introducing into the analyzer a decomposition coefficient driver and, by the number of channels, measuring fleas consisting of N non-linear converters, whose inputs in each measuring block are combined and connected to the corresponding output of the correlometer, and the outputs of the N non-linear converters in each test block via The corresponding multiplier is connected to the inputs of the adder, the output of which is connected to the indicator. The other inputs of the multipliers of each measuring unit are connected respectively to the outputs of the former of the decomposition coefficients, the first and second inputs of which are connected to the outputs respectively of the first and second normalizers.

Claims (2)

The drawing shows a block diagram of the analyzer and the following symbols are adopted: 1 and 2 — the inputs of the analyzer; 3 and 4 - normalizers; 5 - correlometer; 6 - measuring blocks; 7 - nonlinear converters; 8 - multipliers; 9 - adders; 10 - indnkatory; 11 — Shaper of decomposition coefficients. The analyzer's job is to obtain an estimate of the collision function by correspondence,.) - | "L ..) in" () e "(), where L is the number of decomposition terms determined by the permissible error of measurement of the function of collision; (TV and Oy are the root mean square deviations of random processes x () and y (0; -ortonormal polynomials. Decomposition coefficients an (tg) are due to the chosen basis functions Hey and are equal to (Tg) or p, (Tg), GDe xy (Tg) - The normalized mutual correlation function of the processes K (t) and y (t) under the shift tj. After switching on the scheme, the implementation of the random process y (t) of the random process y (i} fed to the input 1 of the analyzer is fed to the input of the normalizer 3 , and the voltage of the implementation x, (t) of the process k (1) from the input 2 of the analyzer to the input of the normalizer 4. In the normalizers 3 and 4 on The prism of (1) and (1) is normalized with respect to the standard deviation. From the outputs of the voltage normalizers, respectively, equal-and -, for "Jjc ° y are given to the inputs of the correlometer 5 and the former 11 decomposition coefficients. Shaper 11 computes the values of the polynomials Ai-f- and i9n (-I, and the voltage appearing on the ku output of the 0l- / V Chu level form corresponds to the product of X / V y. The correlator 5 measures the ordinates of the normalized mutual correlation function P ; gu (t) at various shifts m. At the ith output of the correlometer it turns out tion corresponding to the ordinate (Tr). This voltage is applied to the inputs of all nonlinear converters 7 of the second measuring unit. From the output of the k-ro non-linear converter, the voltage corresponding to (d) or Pty () i is fed to the multiplier 8, to the second input of which from the driver AND the voltage corresponding to X Y is applied. As a result of multiplying at the output of the k-ro multiplier 8 t- The ro of the measuring unit produces a voltage proportional to a, (,) h lg Y ay. which arrives at one of the inputs of the adder 9 t-ro measuring unit. The output voltage of the adder corresponding to the estimate of the collision function .w | a; we, () e, (; is measured and displayed by the indicator 10. Thus, the multichannel analyzer of stochastic connections allows you to measure the correlation functions and the collision functions that Significantly increases the efficiency of hardware analysis of random processes. Invention Multi-channel analyzer of stochastic communications of random processes, containing normalizers, whose inputs are the inputs of the analyzer, and the outputs are connected respectively to the correlometer inputs, characterized in that, in order to expand the class of tasks, the shaper of the expansion coefficients and the number of channels of the measuring units, each of which consists of jV non-linear converters, whose inputs in each measuring unit are combined and connected to the corresponding output of the correrelometer are entered into the analyzer and the outputs L of the nonlinear transducers in each measuring unit are connected through appropriate multipliers to the inputs of the adder, the output of which is connected to the indicator, and The other inputs of the multipliers of each measuring unit are connected respectively to the outputs of the former of the decomposition coefficients, the first and second inputs of which are connected to the outputs of the first and second normalizers, respectively. Sources of information taken into account during the examination: 1. Mirsky G. Ya. Hardware definition of random processes characteristics, M., Energia, 1972. 2. Avt. St. LL 410415, G 06G 7/52, 1972.