SU1645954A1 - Random process generator - Google Patents

Abstract

The invention relates to computing and can be used in the digital simulation of artificial random processes, imitation of stochastic signals. The aim of the invention is to enhance the functionality by providing independent control of the values of expectation, variance and correlation interval of the generated process. The random process generator contains a clock pulse generator, a uniformly distributed random number sensor, four comparison circuits, three registers, two AND elements, and a reversible counter. The purpose of the invention is achieved by introducing a second and third registers, a third and a fourth comparison circuit with corresponding links. 1 il. with in (L

Description

The invention relates to computing and can be used in the numerical simulation of artificial random processes, imitation of stochastic signals.

The purpose of the invention is to expand the functionality by providing independent control of the values of the expectation, variance and correlation interval of the generated process.

The drawing shows a functional diagram of a random process generator.

The random process generator contains a sensor 1 of uniform distribution of random numbers, the first 2t

the second 3, the third 4, the fourth 5 of the comparison circuit, the first 6 and the second 7 elements And, the reversible counter 8, the generator 9 clock pulses, the element 10 delay, the first 11, the second 12 and the third 13 registers.

The random process generator works as follows.

Before the generator starts operation, the first 4, second 12 and third 13 registers are recorded with the constants C, Ml and M2, by which the required values of the correlation interval of the generated process, mathematical expectation and dispersion are set.

but

four

ate

she ate

- On the n-th clock cycle of the random process generator, in the reversible counter, the value of x is found. When the clock pulse arrives from

a clock pulse generator 9 triggers a sensor of uniformly distributed random numbers 1, generating random numbers gn-H and vn (respectively, at the outputs

high and low sensor bits. The value of g P is compared with the values of xn (in the first comparison scheme 2), Ml (in the third comparison scheme 4) and M2 (in the fourth comparison scheme 5), the value of vn-H is compared with the value of c in the second comparison scheme. If g x ", then the Output Less than the first comparison circuit 2 produces a signal arriving at the second input of the first element And 6, if g n + Xj, then this signal is produced at the output More than the first comparison circuit 2 and arrives at the second input of the second element 7. If the condition v is fulfilled, c at the output is less than the second comparison circuit 3, a signal is received at the third inputs of the first 6 and second 7 elements I. Similarly, if the condition gm, Ml is output at the output of the third comparison circuit 4, the signal appears entering the fourth entrances of the first 6 and the second 7 elements And, if the condition gn + M2 is fulfilled at the output Less than the fourth circuit 5 comparison, the signal arriving at the fifth inputs of the same elements. The first inputs of the elements And comes through the element I 0 of the delay clock pulse from the generator 9 clock pulses. As a result, a pulse arises at the output of the first 6 element And, if the following conditions are satisfied: gn +, cxn; ML g, M2; Vh4-i c “This impulse goes to the subtracting input of the reversible counter 8, reducing its content by one.

If, however, the conditions gnH x Ml are fulfilled. vn +,. c, then a pulse arises at the output of the second element 7 And, this pulse acts on the summing input of the reversible counter 8, increasing its content by one .;

If g, -x or vn +, bc, or gn +, or 8 × 4–, M2, both AND elements are closed and the contents of the reversible counter 8 does not change.

Thus, the formation of the next random number xp-i is carried out and this (n + 1) -th cycle of its operation is completed, all other cycles of operation of the generator are similar to that described.

The random process generator generates at the output of the reversible counter 8 a sequence of random pulses with a one-dimensional distribution, close to normal, with the following parameters:

-mathematical expectation

Ml - (- M2

m to „.

-dispersion

eL M2 - Ml - 2

- normalized correlation function,

(KO p (i-0, l, 2, ...),

where p - 1 - -2Ј.-.

M is the width of the numbers g, vft; C is the width of C;

-interval of correlation

L .1 + R.

2F (- |)

where F is the clock frequency of the generator 9.

Given the required values of njj, (T | and the correlation interval Јk, it is possible with fixed values of F, M and N to determine the necessary values of the constants Ml, M2, C to ensure a random process with the desired characteristics.

Claims (1)

Invention Formula A random process generator comprising a clock pulse generator, a delay element, first and second comparison circuits, first and second elements AND, a register, a reversible counter and a sensor of uniformly distributed random numbers, the output of the higher bits of which is connected to the first input of the first comparison circuit bits - with the first input of the second comparison circuit, and the start-up input - with the output of the clock generator and the input of the delay element, the output of which is connected to the first inputs of the first and second And elements, second the input of the first element And is connected to the output Less than the first comparison circuit, the second input of the second element And is connected to the output More than the first comparison circuit, the third inputs of the first and second elements And connected to the output Less than the second comparison circuit, the second input of which is connected to the output of the register, information input which is the input of setting the correlation interval of the generated process, the outputs of the first and second elements of AND are connected respectively to the subtracting and summing inputs of the reversible counter, the information the course of which is the output of the generator and is connected to the second input of the first comparison circuit, characterized in that, in order to expand the functional capabilities by providing independent control of the values of the expectation, variance and correlation interval of the generated process, the third and fourth comparison circuits and the second and third registers are entered into it, with the first inputs of the third and fourth comparison circuits connected to the higher bits of the sensor evenly distributed random numbers, and the second inputs - with information outputs of the second and third, respectively the registers whose information inputs are the inputs for setting the expectation and variance of the generated process, the output of More than the third comparison circuit is connected to the fourth inputs of the first and second And elements, the output is Less than the fourth comparison circuit is connected to the fifth inputs of the first and second And elements I. ICJ