RU4845U1 - DEVICE FOR SIMULATION OF TWO-DIMENSIONAL RANDOM VECTORS - Google Patents

Abstract

A device for modeling two-dimensional random vectors, consisting of a synchronization block, two subtraction blocks, two division blocks, two summation blocks and three multiplication blocks, characterized in that, in order to simulate a system of dependent random variables, a memory block and two mathematical expectation determination blocks are additionally introduced , two subtraction blocks, a squaring block, a division block, two blocks of identification of the law of distribution, two blocks of simulation of random numbers with an arbitrary distribution law, and the first you One synchronization unit is connected to the control input of the memory unit, control inputs of the first and second mathematical expectation determination unit, the second output of the synchronization unit is connected to the control inputs of the first subtraction unit and the second multiplication unit, the third output of the synchronization unit is connected to the control input of the squaring unit, fourth the output of the synchronization unit is connected to the control input of the first summing unit, the fifth output of the synchronization unit is connected to the control input of the first division unit, the sixth output of the synchronization block is connected to the control input of the first multiplication block, the seventh output of the synchronization block is connected to the control input of the second summing block, the eighth output of the synchronization block is connected to the control input of the second division block, the ninth output of the synchronization block is connected to the control input of the third division, tenth output the synchronization unit is connected to the control input of the second multiplication unit, the eleventh output of the synchronization unit is connected to the control input of the third unit of deduction

Description

TWO-DIMENSIONAL DEVICE

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used in the specified information processing complexes for modeling two-dimensional random vectors.

The object nvlyayuschim prototype / 1 / contains; synchronization block, memory register, evenly distributed random number sensor, two logarithm calculation blocks, seven multipliers, two divisors, exponent calculation block, two subtractors, construction block B degree, two adders, square root calculation block, two registers. The purpose of this invention is the expansion of the functional capabilities of the prototype, which allows you to simulate two-dimensional vectors of dependent random variables.

This goal is achieved by the fact that in this device, an additional block, an erection block B square are added. RANDOM VECTORS

division block, two blocks for determining the mathematical expectation, two blocks of subtraction, two blocks for identifying the distribution law and two blocks for simulating a random variable of an arbitrary distribution law.

Functional diagram of a device for modeling two-dimensional random variables is presented in figure 1.

This device contains a synchronization unit 1, a memory unit, blocks 3 and 4, definitions of mathematical expectation, blocks 5, and, 15 and 21 subtraction, block 7 squaring, blocks o and 11 summation, blocks 9, 1 and 13 divisions, blocks 10, 14 and 20 of the multiplication, blocks 16 and 18 of the identification of the law of distribution, blocks 17 and 1E simulate random numbers with an arbitrary distribution law.

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OBDINBN G CONTROL INPUT BLOCK. lO multiplication; the seventh output of the synchronization Olokz 1 is connected to the input of the blocking unit 11, the eighth output of the synchronization block 1 is connected to the control input of the division block Iki, the ninth output of the synchronization block 1

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by the input of the subtraction block 15, the twelfth output of the synchronization blocks 1 is connected to the control input of the distribution law identification block 16 and the control input of the distribution law identification block 18, the thirteenth synchronization block 1 is connected to the control input of the multiplication block 0, the fourteenth output of the synchronization block 1 is connected to controlled by the input of the subtraction block c1, the first output of the gc block is connected to the first information input of the subtraction block 5 and to the first information input of the multiplication block 14, second and second; the output of the PSGmyati block is connected to the first information input of the subtraction block 5, with the information input of the subtraction block 15 and with the information input of the distribution law identification block 1o, the output of the mathematical expectation block is connected to the second information input of the subtraction block 5, the output of the mathematical expectation block 4 connected to the second information input of the subtraction unit 8, the output of the subtraction unit 5 is connected to the first information input of the squaring blog 7 and to the first information input of the multiplication unit 10, the input of the device’s circuit is connected to the first information input of the mathematical expectation unit 3, the input 01 of the device is connected to the second information input of the memory unit S and the first information input of the mathematical expectation unit 4, input N of the device connected to the second information input of the mathematical definition block, with the second information input of the mathematical expectation block 4 and with the second information input division unit 9, the RESET input of the device is connected to the information input of the synchronization unit 1, the output of the subtraction unit 6 is connected to the second information input of the multiplication unit 10, the output of the squaring block 7

connected to the information input of the block in the ummification, the output of the block 8 of the summation is connected to the first information input of the block, 9 division, the output of the division block 9 is connected to the second information INPUT of the block 12 and to the second information input of the block; and 10 division, the output of the division block 10 is connected with the information inputs of the summing unit 11, the output of the summing unit 11 is connected to the first information input of the division unit IE, the output of the division unit 1c is connected to the first information input of the division unit 13, the output of the division unit 13 is connected to the second information input of the multiplication unit 14 and with the second information input of the multiplication unit icu, the output of the multiplication unit 14 is connected to the second information input of the subtraction unit 15. The output of the subtraction unit 15 is connected to

 by the irrational input and identification of the law of distribution TJT.T T31-T- “GLTGg.T 1 Q / 1 Tsr, LTG1-, i-Ch 1 R. T, TTTOTShT..Tf Ti-ChT, TT, T OSSTLRR T-Yu (.TTTLrTG (2, TG -

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loka of subtraction, the outputs 1,2,3,4,5,6 of the law identification block 18 are connected to the information inputs of 1,2,3,4.5,6 respectively of the block 19 for simulating random variables of an arbitrary distribution law, the output of the block 19 for simulating random variables of an arbitrary of the distribution law is connected to the first information input of the multiplication unit 20 and to the output of the device, the output of the multiplication unit 20 is connected to the first information input of the subtraction unit 21, the output of the subtraction unit 21 is connected to the output of the unit.

The principle of operation of a device for modeling two-dimensional random vectors is to implement the method of converting a system of dependent random variables into independent ones / 3 /.

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G.i and fii - generated random variables, THEM have independent random variables, k is the correlation coefficient

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So / is the variance of the random variable ul.

The workstation of the bevkotaennosti assessment device is carried out in a sequence defined by the clock, 1and the pulse or synchronization block 1.

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applying a pulse to the RESET input, as a result of which the synchronization unit 1 starts. At the same time, the signals And and Bi from the input of the device are fed to the first information inputs of the memory blocks S and o, 4 of the definition of the mathematical expectation. The first clock pulse from the first input of synchronization block 1 initiates the operation of memory blocks 2 and blocks o and 4: determining the mathematical expectation in rB. TTTT L T d TTCl. Tl V i - T-T /; ir7 iljTTi TTd nrfCjTOin.-TTJCl - t i ipi. V liJ j. Cll w -: iv; i Lilid iJijiALj-jt cL. . .- - .; j-i -, ----. ii-- -Aiiiiji iviClJ. wiTlC iii - -i v.-v - i -.i...U.T, 77TO T-TSG 7T: TdT-f Cr r.Ci IS, TTT t OGT TS TZT.TTT -% .- TL I .S TJS TT ./f, -

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the first information input of the subtraction unit 5, to the information input of the distribution law identification unit 18 and to the first information input of the multiplication unit 14. At the same time, the signal Si appears at the second output of the memory block g, which is fed to the first information input of the subtraction block 6 and to the first information input of the subtraction block 15, and the results are fed to the first

information inputs of blocks 5 and about subtraction, the second clock pulse-output from the output b; synchronization i initiates paooTV subtraction blocks 5 and 6, resulting in an output of subtraction block 5 of the TLT belt 15. -T / TT TT 3 TT .r% TTTfTr iLJ 3 THTh f, -, Tg. .GTGLTLiTTL TTGLTG aS1GG1- -O USTTOr i -

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YOU is the information input of the squaring block 7 and the first information input of the multiplication block 10, and at the output of the subtraction block b, the signal appears proportional to () which is fed to the second information input of the multiplication block 10. 1 third clock pulse about output 3 of block 1 of synchronization initiates the operation of the block

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1 synchronization initiates the operation of the block 8 summation and its output will result in the form of the sum i-iui u.pj, which Ledajf- .-. ... t ,,,

rt .- ,.; i-.iii..i. The other clock pulse from the output 5 of the synchronization unit 1 initiates the operation of the division unit, at the output of which a signal proportional to Soi appears, which is supplied to the second information input of the division unit 13. The sixth clock pulse from the output 6 of the synchronization unit 1 initiates the operation of the multiplication ID block, the output of which will appear as a product (ui -cicp) () which is fed to the input of the summing unit 11. The seventh clock output from the output 7 of the synchronization unit 1 initiates the operation of the block li of sequencing, on which the result appears in the form E ffii -acjj) () rui0S v; S0, which is fed to the first information input of the division unit 12, the eighth clock pulse from the output On the synchronization protection unit 1, it initiates the operation of the division unit IS, at the output of which a signal appears, proportional to Go; 030, which is supplied to the first information input of the division unit 13. The ninth clock pulse from the output of block 9

 - h-1 sikhroki BZDii initiates the operation of the block la division, at the output of which there is an actual signal proportional to S0 / Soi K, which feeds to the second information inputs of the multiplication 14 and 20 multiply. The tenth clock pulse from the output 10 of the synchronization unit 1 initiates the operation of the multiplication unit 14 at the output of which

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NEW SH-pulse from the output 11 of the milk, 1 synchroggization initiates the work of 15 subtraction at the output of which the result will appear in the form

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distribution at the output of which a signal appears that is fed to the first information input of the multiplication block 0 and to the output of the device. The thirteenth clock pulse from the output 13 of the synchronization unit 1 initiates the operation of the multiplication unit 20, at the output of which a signal Kx appears, which is fed to the second information input of the subtraction unit 21. Fourteenth Clock

from Exodus 14 fleas: and 1 synchronization initiates the operation of the subtraction block SI at the output of which the signal yi - K-Xi 8i appears, which is fed to the output of the device.

LIST OF USED LITERATURE

1. Random number generator. A.S. USSR 1591009 G 06F7 / 58 from 11/10/1988

. Random number generator. A.S. USSR 1506444 G 06F7 / 4 from 07.15.1986.

3. Klavdiev A.A., Voloshin I.P., R: Alistratov V.A. Information-probabilistic methods for assessing the effectiveness of a model of weapons. - SPb .: MAA, 1995. - 45 p.

4. A positive decision of the Higher School of Economics on the application of 9404G2637 / 09 / 04S802 dated November 30, 1995. Device for identifying objects / Filustin .4.E. Voloshin I.P. , Kalistratov V.A. et al.

Factors;

I.Voloshin A.Filyustin A.Klavdiev. Kalistratov V. Beidin P. Romanov A. Presnov S. Zakharov p. T1 and Anychev V. Yakushk1-ha

Claims (1)

A device for modeling two-dimensional random vectors, consisting of a synchronization block, two subtraction blocks, two division blocks, two summation blocks and three multiplication blocks, characterized in that, in order to simulate a system of dependent random variables, a memory block and two mathematical expectation determination blocks are additionally introduced , two subtraction blocks, a squaring block, a division block, two blocks of identification of the law of distribution, two blocks of simulation of random numbers with an arbitrary distribution law, and the first you One synchronization unit is connected to the control input of the memory unit, control inputs of the first and second mathematical expectation determination unit, the second output of the synchronization unit is connected to the control inputs of the first subtraction unit and the second multiplication unit, the third output of the synchronization unit is connected to the control input of the squaring unit, fourth the output of the synchronization unit is connected to the control input of the first summing unit, the fifth output of the synchronization unit is connected to the control input of the first division unit, the sixth output of the synchronization block is connected to the control input of the first multiplication block, the seventh output of the synchronization block is connected to the control input of the second summing block, the eighth output of the synchronization block is connected to the control input of the second division block, the ninth output of the synchronization block is connected to the control input of the third division, tenth output the synchronization unit is connected to the control input of the second multiplication unit, the eleventh output of the synchronization unit is connected to the control input of the third unit of deduction ni, the twelfth output of the synchronization block is connected to the control input of the first and second block of identification of the distribution law, the thirteenth output of the synchronization block is connected to the control input of the third multiplication block, the fourteenth output of the synchronization block is connected to the control input of the fourth subtraction block, the first output of the memory block is connected to the first information the input of the first subtraction block and with the first information input of the second multiplication block, the second information output of the memory block is connected to the first inf with the input of the second subtraction unit, with the information input of the third unit of subtraction and with the information input of the second unit of identification of the distribution law, the output of the first unit of determination of mathematical expectation is connected to the second information input of the first unit of subtraction, the output of the second unit of determination of mathematical expectation is connected to the second information input of the second block subtraction, the output of the first subtraction block is connected to the first information input of the exposure block in the square and to the first information th input of the first multiplier, the input α _i device connected to the first information input of the storage unit and the first data input of the first block determining expectation entrance β _i device coupled to a second data input of the storage unit and the first data input of the second unit determining the mathematical expectation, the input N of the device is connected to the second information input of the first unit for determining the mathematical expectation, with the second information input of the second block for determining the mathematical expectation and with the second information input of the first division block, the output of the second subtraction block is connected to the second information input of the first multiplication block, the output of the squaring block is connected to the information input of the first summing block, the output of the first summing block is connected to the first information input of the first division block, output the first division block is connected to the second information input of the second division block and to the second information input of the first division block, the output of the first division block is connected to inform the input of the second summing unit, the output of the second summing unit is connected to the first information input of the second division unit, the output of the second division unit is connected to the first information input of the third division unit, the output of the third division unit is connected to the second information input of the second multiplication unit and with the second information input of the third multiplication unit, the output of the second multiplication unit is connected to the second information input of the third subtraction unit, the output of the third subtraction unit is connected to the information the input of the first block of identification of the law of distribution, the outputs from the first to sixth of the first block of identification of the law of distribution are connected to the information inputs from the first to sixth, respectively, of the first block of simulation of random variables of an arbitrary distribution law, the output of the first block of simulation of random variables of an arbitrary distribution law is connected to the second information input the fourth block of subtraction, the outputs from the first to the sixth of the second block of identification of the law are connected to the information inputs with the first through the sixth, respectively, second block simulating random variables of an arbitrary distribution law, the output of the second block simulating random variables of an arbitrary distribution law is connected to the first information input of the third block of multiplication and the output of the device, the output of the third block of multiplication is connected to the first information input of the fourth subtraction block, output of the fourth the subtraction unit is connected to the output of the device.