SU1023328A1 - Random process generator - Google Patents

Description

An attribution refers to a computational technique and can be used when modeling random, processes with a given statistical character sticks. A generator of random processes is known, containing Eqs of impulses, sensors of random pulses, AND elements, a control unit and a counting .l. However, the known generator does not pozgol to Form random processes with given spectral properties. A random process generator is also known that contains an AND block, a random number sensor, a memory block, a control block, a read block and a summation block f2. However, it is also impossible to generate random processes with specified spectral properties using this generator. Closest to the present invention is a random process generator comprising a sensor-random numbers, an AND block, a memory block, a generator of basic functions (Walsh functions) a summation block, a switch, a sign assignment block, a control block, and a read block with the corresponding s between them. In addition, each block of character assignment includes in each bit two key elements, an element of NOT, and a block of summation Cs. The known generator allows reproducing random processes with given spectral density functions, but it cannot reproduce random processes with a given spectral density function and with a variable cutoff frequency, which is often necessary in modeling various types of radio control devices. The aim of the invention is to expand the functionality of the generator by obtaining a function of the spectral density of a given type and with a variable cutoff frequency. The goal is achieved by the fact that in a random process generator, there is a random number generator, the outputs of which are connected to a group of inputs of the block of elements And, respectively, whose input is connected to the first output of the control unit, the second and third outputs of which are connected respectively to the generator of the basic functions and to the control input of the readout unit, the output of which is the generator output, and the informational readout unit is connected to the output of the summation unit, the outputs of the And element block are connected according to The current inputs of the memory block, the outputs of which are connected to the first inputs of the corresponding groups of character assignment groups, the second inputs of which are a group of generator inputs, have introduced a group of multiplication blocks, a group of keys, an OR cell block, a decoder and a counter whose input is a generator input , and the outputs of the counter through the decoder and the block of elements OR are connected to the control inputs of the corresponding group keys, the outputs of which are connected to the corresponding inputs of the summation unit, the outputs of the assignment blocks Since the groups are connected to the first inputs of the corresponding multiplication units of the group, the outputs of which are connected to the information inputs of the corresponding group keys, the outputs of the generator of basic functions are connected to the second inputs of the corresponding multiplication units of the group. FIG. 1 shows a block diagram of a generator; FIG. 2 - block diagram of the elements OR. The generator contains a sensor 1 random numbers, a block of 2 elements And, a block of 3 memory, a group of blocks 4, 4, ..., 4yy, sign assignment, a group of blocks 5, SOL, ... 5GU, multiply, a generator of 6 basic functions, control block 7, counter 8, decoder 9, block of 10 OR elements — 10, 10, ..,, Juy, key group 11, 11,, 0., 11g, summation block 12, read block 13, output 14, inputs 15 and 16. Preparation of the generator for operation consists in the following. The generator is tuned to the maximum cutoff frequency. At the same time, a set of m random parameters and, SI “Uk, equal to +1, is generated by a t-bit random number generator 1 taking into account the following correspondence rule: the binary code i of the corresponding bit of the gauge corresponds to the values // or Jj equal to +1 1, and the values of k. ordhz-1 -1 Zero states correspond to this; a bit of the sensor 1. A processed yes-bit random number with the help of the block of 2 elements And the signal from the control block 7 is transmitted to the memory block 3 and stored in it. According to the generated values and / and in the sign assignment blocks 4, the change in the signs of the coefficients kiK values, calculated in advance on the basis of a given spectral density of the process, is connected to the corresponding channels of the t-channel input 15 of the generator. On 1 block 5, the multipliers are the coefficients QK and multiplied by the co-current values of the trigonometric functions, which are BEfabated in the regenerator 6 fuzz baseballs. qi The argument values of the trigonometric functions are specified by control block 7.

Counter 6 serves to form the value of g, which is proportional to the cut-off frequency of the fep process (coefficient of continuity 27). The magnitude of the gs in the counter 8 through the input 16 of the generator. The nature of the change in the cut-off frequency of a random process during tests of a radio system is determined by the specifics of the tests carried out in which this generator is used,

G using decoder 9 and block 10 by the value of g, formed in counter 8, to generate per-second resolution signals for (2d-4-1) keys 11 (from 1st to (2d + 1)) for e-mail-on)) {2r4-1) -th, t-th), as a result, only the first {2r + 1) multiplication units 5 of multiplication i are connected to the inputs of sukFrotrovaniye 12. Thus, only 12 (2r-fl ) the first members of the trigonometric series. In block 12, the summation of the members of the row is not summed up. Unit 13 for reading the reader: does not connect the output of the summation unit 12 to the output 14 of the generator. Control Unit 7 is used to generate a control signal sequence.

The random process generator works as follows.

At the stage of tuning the generator for a given spectral density, the values of the coefficients a y and b are fed to the corresponding inputs of the t-channel input 15 of the device. To the generator input 16, a value r is received, proportional to the desired cutoff frequency of the simulated process, which is recorded in counter 8.

6, the first cycle of the generator working stage, the control unit 7 generates signals for zeroing multiplication units 5, summation unit 12, memory unit 3 and basic functions generator 6 (zeroing bus in Fig. 1 not shown) and issues a request signal to unit 2 of elements AND, to which the binary code of the random number generated in sensor 1 is transmitted through block 2 to memory block 3, where it is stored for the generation time of one implementation of the random process. At the same time, the decoder 9 will interpret the contents of counter 8 and, using block 10, provide the enable signals to the first (2g + 1) keys 11 (open them) and prohibiting

signals to the remaining (t-2 d-}) keys 11 (closes them), with the result that only the nepBiax (2g + 1) outputs of the multiplication blocks 5 are connected to the inputs of summation block 12.

A further sequence of generator actions from m steps of the same type, at each of which, according to a signal from block 7, the generator 6 of the basic functions generates the values

0 of all m trigonometric functions cos and. at the current time moment t or 1, which are fed to the corresponding EUT inputs of the block. in 5 multiplications, on the second inputs of which 5 values of coefficients bc have already been applied, the characters of which with the help of blocks 4 of character assignment depending on the corresponding code bit. random number in block 3 or saved (if in the dis t code

0 1, i.e. X4, Tk) +1), or changed to Reverse (when the code is O when / and 1C (Tk) 1) At the outputs of m blocks 5 multiplying it, the corresponding product

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K.-K --- t of which only the inputs (2d + r) of the first products arrive at the inputs of the summation block 12 through the public keys 11. As a result of their summation in block 12 summation, the value of a random process in one is generated. specific point of its interval definition. On the signal of the control unit 7, the obtained value of the random process through the readout unit 13 is output to the generator output 14 with zeroing of the addition unit 12. At each of the next steps work

0 generator analogue 4h “a.

To reproduce a new implementation of a random process with the same spectral density and the same cutoff frequency, control unit 7

5 generates zeroing signals for blocks 3, 5, 6, and 12, and generates a request signal for block 2, with which a new random t-bit c is sent to memory block 3. sensors

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 Note; a frequency cutter to form realegations for the “True, but with the same: Spectrum 5 Lens density, but another cutoff frequency may be

5 is made by feeding the new value g to the input 16 of the generator.

If it is necessary to form a process with a new spectral density function, it suffices to supply the coefficients k and b to the ga-channel input 15 of the device.

The proposed generator allows one to perform all the functions of the known device 45 and, in addition, makes it possible to reproduce a random process with a function of the spectral density of a given type and a variable cutoff frequency. Moreover, using the proposed generator one can reproduce a greater number of independent realizations of the random process compared to the known. Ultimately, this improves the statistical likelihood characteristics of a random process (which is important for modeling practice) and expands the scope of application of the generator.

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Claims (1)

RANDOM PROCESSES GENERATOR, containing a random number sensor, the outputs of which are connected to the group of inputs of the block of elements AND, respectively, whose input is connected to the first output of the control unit, the second and third outputs of which are connected respectively to the input of the generator of basic functions and to the control ₍ input of the reading unit whose output is the output of the generator, and the information input of the block is read \ niya is connected to the output of the summing unit, the outputs of the block of elements AND are connected to the corresponding inputs of the memory block, the outputs of which are connected to the first inputs of the corresponding assignment blocks of the group. The second inputs of which are a group of inputs of the generator, characterized in that, in order to expand the functionality generator by obtaining a spectral density function of a given type and with a variable cutoff frequency, it contains a group of multiplication blocks, a group of keys, an OR block of elements, a decoder and a counter, in the path of which is the generator input, and the counter outputs through the decoder and the OR block are connected to the control inputs of the corresponding keys of the group, the outputs of which are connected to the corresponding inputs of the summing block, the outputs of the unit for assigning the character of the group are connected to the first inputs! the corresponding group multiplication blocks, the outputs of which are connected to the information inputs of the corresponding group keys, the generator outputs of the basic functions are connected to the second inputs of the corresponding group multiplication blocks. S3 eo