SU1377879A1 - Device for determining density of probability distribution of a random process - Google Patents

Abstract

The invention relates to automation and computing and can be used to determine the characteristics of random processes, to estimate the distribution of errors characterizing the accuracy of firing at the target, to estimate the density distribution of definitely positive values, etc. The purpose of the invention is to extend the functionality by determining the density of distribution likelihood law of the relay. The device contains a unit 1 for determining the mathematical expectation, a unit for 2 squares, functional converters 4, 6, an adder 5, a block 7 for differentiating, a block 8 for multiplying, a block 9 for integrating, a block for register 10. The device operates according to an algorithm that allows to obtain a probability density function with any given accuracy. 1 il. sh

Description

s / h / s /

Dispersion can be determined by the formula; .

35

D,

 t

where y

0,218 t

t,

Dx

X

Have

45

expected value; dispersion; random value; probability distribution function of the Relay law.

The device works as follows.

The input of block 1 for determining the mathematical value is supplied, the input 50 random signals X. Block 1 determines the mathematical expectation w.The signal proportional to mathematical expectation mx is squared in block 2 of the squares, then in block 3 of the scale 55 DX is calculated using the formula (3), and in the first functional converter 4, a large Device is calculated to determine the probability distribution density of the case (3) of the tea process, which contains the registration unit, the first functional element (li} An generator, the unit and the mathematical expectation, the input of which is combined with the input of the differentiation unit and is the input of the device, the output of the differentiation unit is connected to the first input of the multiplication unit, the output of which is connected to the second input of the multiplication unit through the integrator; the purpose of extending the functionality by determining the probability density of the Relay law, it contains a scaling unit, a second functional transducer, an adder and a squaring unit, whose input is th unit is connected to the output of determining expectation, the output is connected to the input of scaling block and the first functional transformations

the generator, the expectation unit, whose input is combined with the input of the differentiation unit and is the device input, the output of the differentiation unit is connected to the first input of the multiplication unit, whose output is connected to the second input of the multiplication unit through the integrator, that, in order to extend the functionality by defining. probability density distribution of the Relay law, it contains a scaling unit, a second functional converter, an adder and a squareing unit, the input of which is connected to the output of the expectation determination unit, the output is connected to the inputs of the scaling unit and the first functional unit

A mapper whose output is connected to a converter and connected to

with the first input of the adder, the output to the device input, the output of the second functionally is connected to the third input transducer connected

multiplication unit, the second input is the second input of the adder, and the output

combined with the input of the registration unit, the scaling unit is the output of the fourth input of the multiplication unit, the volume of the dispersion estimate

one with the input of the second functional device.

I

Claims (1)

Claim. A device for determining the probability distribution density of a random process, comprising a registration unit, a first functional converter, a mathematical expectation determination unit, the input of which is combined with the input of the differentiation unit and is the input of the device, the output of the differentiation unit is connected to the first input of the multiplication unit, the output of which is connected via the integration unit with the second input of the multiplication block, I differ in that, in order to expand functionality by defining the raft awns Rayleigh probability distribution law, it comprises a scaling block, a second function generator, the adder and the squaring block, whose input is connected to the output determination unit expectation, the output is connected to the input of scaling block and the first functional preob3 verters, whose output is connected. with the first input of the adder, the output of which is connected to the third input of the multiplication unit, the second input of which $ is combined with the input of the registration unit, and the fourth input of the multiplication unit is combined with the input of the second functional converter and connected to the input of the device, the output of the second functional converter is connected to the second input adder, and the output of the scaling unit is the output of the estimation of the dispersion of the distribution of the device.