SU1136158A1 - Random process generator - Google Patents

Abstract

A GENERATOR OF A RANDOM PROCESS, containing a clock pulse generator whose input is an input of the generator start, and a clock pulse generator output connected to the control inputs of the first and second keys, whose information inputs are connected to the outputs of the first and second sensors of uniformly distributed random variables, respectively. the second key is connected to the input of the discriminator, a group of constant voltage sources, the outputs of which are connected to the information inputs of the corresponding group keys s, the outputs of which are connected to the group of inputs of the adder, respectively, whose output is the output of a generator, characterized in that, in order to expand the functionality of the generator by obtaining a mixture of two-dimensional distributions, it contains a delay element, a group of delay elements, a group of comparators and a group of blocks of elements And, the group of outputs of each block of elements And groups is connected respectively to the group of control inputs of the corresponding group comparator, the information inputs of all comparators g The switches are interconnected, connected to the output of the first key and the input of the delay element, the output of which is connected to the input of the adder, the outputs of the like digits of the group comparators are interconnected and connected to the control inputs of the corresponding group keys, as well as to all the inputs of the corresponding delay elements the groups whose outputs are connected to the groups of the corresponding inputs of each block of elements AND groups whose control inputs are connected to the corresponding outputs of the discriminator, the input of the last O5 the delay element in the group is combined with the “Start generator” input. sd oo

Description

The invention relates to computing and is intended to model Markov random processes with a mixed two-dimensional distribution law.

Known random number sensor containing a noise generator, functional converters 1.

However, this generator does not allow the restructuring of the distribution law.

A random number sensor is also known, which contains two uniformly distributed random number generators, memory blocks, scaling blocks, keys, comparison and recording blocks, comparator 2.

However, this sensor, although it allows the simulation of random numbers with a mixed, but only one-dimensional distribution law.

The closest to the proposed technical entity is a random process generator, which contains a sweep generator, the output of which is connected to the input of the function converter, the control inputs of which are connected to the outputs of the memory unit, and the output of the function converter is connected to the first input of the integrator, random number sensor, a counter, accumulating an adder, a key, two comparison units and a discriminator, the outputs of which are connected to the inputs of the memory block, and the input — to the output of the counter — and the first input is the second comparison unit, the second input of which is the generator input, and the output is connected to the first inputs of the counter and accumulating adder, the second input of which is connected to the second input of the counter and the output of the key, the first input of which is connected to the output of the sweep generator, and the second input to the generator inputs, the random number sensor and the first comparison unit, the inputs of which are connected to the outputs of the integrator and the random number sensor, respectively 3 The disadvantage of this generator is the impossibility of obtaining a mixture of two-dimensional distributions Elena.

The aim of the invention is to extend the functionality of the generator by obtaining a mixture of two-dimensional distributions.

To achieve this goal, a random process generator, containing a clock pulse generator, whose input is a generator start input, and a clock pulse generator output, is connected to the control inputs of the first and second keys, whose information inputs are connected to the outputs of the first and second sensors of uniformly distributed random variables, the output of the second key is connected to the input of the discriminator, a group of sources

constant voltage, the outputs of which are connected to the information inputs of the corresponding group keys, the outputs of which are connected to the group of inputs of the adder, respectively, whose output is the output of the generator, a delay element, a group of delay elements, a group of comparators and a group of blocks of elements And, a group of outputs of each the block of elements And the group is connected respectively to the group of control inputs of the corresponding group comparator, the information inputs of all the comparators of the group are interconnected, under connected to the output of the first key and the input of the delay element, the output of which is connected to the input of the adder; the outputs of the like digits of the group comparators are interconnected and connected to the control inputs of the corresponding group keys, as well as to all the inputs of the corresponding delay elements of the group, whose outputs are connected to the groups of the corresponding inputs of each block of elements AND of the group, whose control inputs are connected to the corresponding outputs of the discriminator, the input of the last delay element in the group is combined with the input House "Generator Start.

FIG. 1 shows a block diagram of a generator; in fig. 2 is a comparator diagram. The generator contains a sensor 1 of uniformly distributed random variables, a key 2, a sensor 3 of uniformly distributed random variables, a key 4, a discriminator 5, comparators 6i -6, blocks 7-7m of AND elements, keys 8i-Sff, a group of sources 9 constant voltages, adder 10, elements 11 - Ijffi delay, generator 12 clock pulses.

Each comparator 6g. contains comparison schemes 6ij.

0 The device is intended for modeling realizations of random processes with a two-dimensional probability density of the form.

f (xiX2) 21 R, -fK (xi, Xi)

.1% -j

1-l 1.

 where fk (Xj Xg) is the probability density of the k-ro 50 class;

Rp; is the probability of a value in the implementation of a random process with a probability density of k-ro class.

The installation inputs of the comparator comparison circuits 6 are designed to store the distribution functions F (xi, Xj) calculated from the probability density.

to (xj, xi). The first sensor 1 serves to set the primary random number from which the value of the random process is formed. The second sensor 3 is required to simulate the probabilities Pj. The generator 12 sets the device operation cycles. Discriminator 5, whose thresholds are equal to Р ;, PI + Pr, .... PI + Pr + +. PM is needed to determine the kind of probability density with which the value of a random process at a given moment must be formed. The group of sources 9 sets the scale for changing the values of a random process, and the adder U must perform this scaling. The delay elements 11 are necessary to coordinate the operation of the keys 7 with the operating cycles of the generator 12. They delay the signal from comparators 6 until a new signal is received at one of the outputs of the discriminator 5, which provides a one-time signal to both inputs of the comparators 6 .

The delay element 11 is required to delay the signal from sensor 1 for the time that passes before the signal arrives at one of the N first inputs of the adder 10, which ensures simultaneous arrival of signals at the two inputs of the adder 10.

A trigger is required to synchronize the start of the generator 12 and to supply an opening signal to one of the key inputs. The operation of the generator begins with a synchronous start of the generator 12 clock pulses and applying a control signal for the keys to the element 1. The value of r from sensor 3 determines the appearance of a signal at the i-th output of the discriminator 5 and opens the element AND 7f. Then the value of r, from sensor 1 is supplied to the Nth column of the comparator 6 | (N columns of all comparators 6 are opened by a signal which, through the UN element, arrives at key 8), i.e., the process value with the distribution function FJ () is to be modeled. Depending on the value of g {, the j-comparison scheme 6ij works, which leads to the opening of the key

, 8j, the value of the first input of the adder 10 is proportional to the scale) from the group of sources, and the output of the device is the value Mj + ri. Further, the operation cycle of the device is repeated with the difference that all the j-th columns of the comparators b will now be involved (since the key 8-J was opened).

Thus, the proposed generator allows one to model random processes with any two-dimensional mixed distribution, which expands the class of problems as compared with the known generator, since the latter allows the formation of only a random sequence with a normal distribution, while the proposed one generates processes with any mixed two-dimensional.

2

Claims (1)

RANDOM PROCESS GENERATOR, containing a clock generator, the input of which is the “Start” input of the generator, and the output of the clock generator is connected to the control inputs of the first and second keys, the information inputs of which are connected to the outputs of the first and second sensors of evenly distributed random variables, the output of the second the key is connected to the discriminator input, a group of constant voltage sources, the outputs of which are connected to the information inputs of the corresponding group keys, you the odes of which are connected to the group of inputs of the adder, respectively, whose output is the output of the generator, characterized in that, in order to expand the functionality of the generator by obtaining a mixture of two-dimensional distributions, it contains a delay element, a group of delay elements, a group of comparators and a group of blocks of AND elements, a group the outputs of each block of elements AND groups are connected respectively to the group of control inputs of the corresponding group comparator, the information inputs of all group comparators are combined are interconnected, connected to the output of the first key and the input of the delay element, the output of which is connected to the input of the adder, the outputs of the same category bits of the group comparators are interconnected and connected to the control inputs of the corresponding keys of the group, as well as to all the inputs of the corresponding delay elements of the group, the outputs of which connected to the groups of the corresponding inputs of each block of elements AND groups whose control inputs are connected to the corresponding outputs of the discriminator, the input of the last delay element in the groups combined with the input of "Start" generator.