SU1283796A1 - Device for parametric estimating of distribution law - Google Patents

Abstract

The invention relates to measurement and computing technology, in particular, ft devices, intended for instrumental measurement of the probability characteristics of random processes, and allows selection of the type of distribution and determination of its parameters. The purpose of the invention is to increase the accuracy of the device. The device contains an input amplifier 1, a moment calculation unit 2, a distribution type determination unit 5, a distribution function analyzer 3, a percentile calculation unit 4, a distribution parameters definition unit 6, a memory block 7, a synchronizer 8, an agreement check block 9. Investigate the case. The tea signal is fed to the input of the device and after rationing and centering with:; or a teler. the percentiles and distribution moments are calculated, on the basis of which its parameters and type are determined. After that using the analyzer. distribution functions, memory blocks and consistency checks determine the approximation quality of the empirical distribution law of the selected theoretical curve. 3 il. § (L

Description

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The invention relates to a measuring and computing technique, in particular, to devices for instrumental measurement of the probability characteristics of random processes, and allows you to select the type of distribution and determine its parameters.

The purpose of the invention is to increase the accuracy of the device.

Figure 1 shows the structural diagram of the device; Fig. 2 is a block diagram of a percentage calculation unit; FIG. 3 shows an algorithm for operating the percentile calculating unit.

The device comprises an amplifier 1, a moment calculation unit 2, a distribution function analyzer 3, a percentile calculation unit 4, a distribution type determination unit 5, a distribution parameter determination unit 6, a memory block 7, a synchronizer 8 and an agreement check block 9.

The unit for calculating percentiles (Fig. 2) 25 contains an analog-to-digital converter (ADC) 10, a group of registers 11, an element of comparison 12, a register 13, trigger groups 14, a switch 15,

decoder 16.

Block 4 of percentile calculation X.,,

.1 can be implemented based on

l

Ho,

the universal method, which consists in the fact that a sample of a random signal X (t) of volume N is in the range of its elements; . .. X. Then the desired percentiles of the distribution Xe)), corresponding to the fact that the probability (t) Xoi ci ,,

The signal from the output of amplifier 1 is fed to the input of the ADC 10, which is the input of the 4th percentile calculation unit. At the initial moment of time, the initial installation of the unit 4 of the calculation of progentiles occurs, at which S takes the value O (S is the sequence number of the sample element), i is the value of m (i is the current value of the register bit number 13, 1. is the register 13 ), P is the value of N (P is the transition coefficient).

According to the clock signal, the i-th bit of the register 13 takes the value 1.

At the same time, at the output of register 13, the address of the P-th element of the sample, equal to 1000 ... O, which, through comm 1, can be taken equal to Xfi-My 40, allows the receipt of the Xr-th

the sample element of a random signal, a signal, where i is an integral part of N- - o / i.

To determine the distribution percentiles, the method of binary inserts sorting is used.

Distribution type determination unit 5 contains serially connected register and code decoder.

of the sample element to the input of the comparison element 12, to another input of which the subsequent sample element with the ADC 10 arrives. If, as a result of the comparison 45 (Fig. 3, the algorithm of the percentile calculation unit), then the output of the comparison element 12 remains zero potential, and on arrival clock register stroke 13 next

The block 6 for determining the parameters of the clock signal of the i-th register detection bit consists of a series-connected register and two decoders. -J

Memory block 7 contains memory elements (groups of memory cells), 55 where I is the number of sections of the memory block 7 equal to the number of types of distributions proposed for comparison with the distribution of the studied

signal; and I- is the number of combinations of the parameters of the j-ro type of distribution.

The device works as follows.

The input random signal under investigation is normalized and centered by amplifier 1. The normalized and centered signal is fed to the inputs of moment calculation unit 2, percentile calculation unit 4 and distribution function analyzer 3. The percentile calculation unit 4 measures the values Xj ,, Ho (7 0.5, which determine the distribution law parameters of the reference value of the moment calculation unit 2, and allows the determination of

pour PI, P2 for a given sample size with a minimum error.

The determination of the distribution parameters of the signal under investigation is as follows.

The signal from the output of amplifier 1 is fed to the input of the ADC 10, which is the input of the 4th percentile calculation unit. At the initial moment of time, the initial installation of the unit 4 of the calculation of progentiles occurs, at which S takes the value O (S is the sequence number of the sample element), i is the value of m (i is the current value of the register bit number 13, 1. is the register 13 ), P is the value of N (P is the transition coefficient).

According to the clock signal, the i-th bit of the register 13 takes the value 1.

In this case, the output of the register 13 is the address of the Pth element of the sample, equal to 1000 ... O, which through the switch switch to the input of the reference element 12, to the other input of which the subsequent sample element from the ADC 10 arrives. If as a result of the comparison ( FIG. 3, the algorithm of the work of the unit for calculating percentiles), then the output potential of the element 12 of comparison remains zero potential, and when the next register arrives at the clock in the stroke 13

country 13 is zeroed out, and (1-1) -th bit is set to 1. Otherwise, if a unit potential is formed at the output of the comparison element, and when the clock signal arrives at the input of register 13 (1-1) -th bit it takes the value 1, and the i-th bit of the register 13 retains a single value.

value 31283796

After that, V takes i + 1, and P takes the p-2 value (the block in the algorithm of the block and the percentiles calculation). The cycle of operation of the group of blocks described above (register 5 13, switch 15, element of comparison 12, group 11 of registers) is repeated t -1 times until i equals m (FIG. 3, algorithm of the percentile calculation unit). In this case, the code, formed in register 13, is the address of the register in the group of registers 11, into which it is necessary to write Xd ,,. To do this, you need the contents of the registers of group 11, the addresses of which are less than the contents of register 13, shift left by one register (FIG. 3, the algorithm for calculating the percentile unit) and S takes the value S + 1. 20

The above described cycle of forming an arbitrary row of elements Xj is repeated N times, after which in group 11 registers a row is formed with the following arrangement of sampling elements

Nn, N ,, N

. 15

25

Where

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N.

1 TO

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N

21

N

24

35

40

, NTK 2F minimal positive

element;

maximum positive

element;

maximum negative

element;

minimum negative

element.

The arrangement of the elements in the resulting series is due to the fact that negative numbers in the binary system are represented in the additional code.

l To determine X you need

finalize the order. To do this, in group 11 of the registers, there is an orderly left shift of the contents of the register until the most recent register occupies the sample element with a unit value of the sign value, which corresponds to the element (blocks 12,13 of the percentile calculation algorithm ). 50

After the termination of sorting, in -th, N-0.5, cells of group 11 registers, where N is the sample size, the digital codes of the desired percentages are found

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to her, Xoii, JSC, Xd, 2, coming from the outputs of the indicated registers to the input of lock 6 for determining the distribution parameters.

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At the input of the block 6 for determining the distribution parameters, the percentages of the distribution being studied are digitally transmitted. Signals

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0.5, "2 are written respectively in C1-q, (q + 1) -K, XK + 1) -pj register bits, where q is the number of bits to represent the percentiles in digital form. This information is then read and fed to the second code decoder. As a result of which operation, the code of the distribution parameters is determined, corresponding to X, 5 Xrii2.

Claims (1)

Invention Formula 50 five 0 five 0 0 g A device for parametrically estimating the distribution law comprising an amplifier, a moment calculating unit, a distribution type determining unit, a memory unit, an approval unit, a synchronizer, the input and the first output of the amplifier being the information input and output of the device centered process, respectively, the second output of the amplifier is connected with the information inputs of the analyzer of the distribution function and the moment calculator, the output of which is connected to the input of the block for determining the type of distribution, the output of which o connected to address input the type of allocation of the memory block and is the output of the code of the type of distribution of the device, the output of the analyzer of the distribution function is connected to the information input of the consent check block, the first and second outputs of the synchronizer are connected respectively to the read enable inputs of the memory block and the accept check block, characterized in that In order to improve accuracy, the percentage calculation block is introduced in 5 of it. The tile and the distribution parameter determination unit, containing the register and two decoders, the inputs of which are connected to the output of the register, the output of the first decoder are connected to the input of the back-. The parameter of the reference random variable parameter of the unit of calculation of moments, the output of the second decoder is connected to the input of the address of the parameters of the memory block and is the output of the distribution parameter of the device, the output of the memory block is connected to the input of the boundary specification analyzer spacing distribution functions, third, fourth outputs the synchronizer is connected respectively to the start of the analyzer of the distribution function, the read enable input of the calculator of the calculating unit, the output of the verifier block is the output of the device approximation quality parameters, the percentile calculator contains the analog and digital converter, a group of N (N is the sample size, an integer) of registers, a register, a group, of m (ha) group register registers) of triggers, a switch, a reference element and a decoder, the information input of the analog-digital signal The e-generator is connected to the second output of the amplifier, and the output is connected to the information input of the group registers and the first input of the comparison element, the second input of which is connected to the switch output and the More-EqualO output five - but connected to the register shift enable input and the group triggers write resolution enable inputs, the register output is connected to the control input of the switch, the decoder input and clock inputs of the group triggers outputs of which are connected to the corresponding group registers register resolution inputs whose codes are connected to the group of information inputs the switch, the output of the decoder is connected to the inputs of the resolution of reading registers of the group, the outputs of the K-th percentile values K-ent (Nc), L-l, -th (N 0.5) J and ent (Nd42) J registers of the group are connected to the input of the register of the block for determining the distribution parameters, the clock input of the register of the percentile calculating unit is connected to the fifth synchronizer output. Start L Г I in S: 0; L: m; P: - N G RGJ3i: i-r- 1 rRG (l3) I / c- / 30-; j: y I .2 Hem 7  dp 1bl; i Adpii-n Hen C EndJ in L - -r ff & f3ft, t-U: -t S: S + hen