SU1250964A1 - Method of measuring expectation of random signal - Google Patents

Abstract

The invention relates to the field of electrical measuring equipment. The aim of the invention is to increase the measurement speed. The method provides a measurement of the mathematical expectation of a random signal by uniformly sampling the signal and averaging the results obtained. To achieve this goal, summation and averaging of consecutive samples and a comparison of average values over a mathematical ratio are provided, the formula of which is given in the description of the invention. The device implementing the method includes meter 1, keys 2 and 3, counter 4, the number of current samples, block 5, the summation of current samples, block 6, the summation, counter 7, the number of previous samples, blocks 8, 9 and 10 divisions, the decoder 11 and control unit 12 which can be performed on the control computer. 1 il. ((Lt itt

Description

This invention relates to electrical measuring technology.

The purpose of the invention is to increase the speed of measurement.

The proposed method is as follows.

The measured signal x (t) is uniformly sampled. The obtained samples are summed and averaged, and after each sample the average values of the signal from the previous and current samples are recorded and compared by the ratio ..,

L

(, 4) i. jjjj :: :( i), (,)

z: x i-i -

where & is the specified relative error (setting) of the estimate of the signal expectation; i is the current reading of the measured

signal;

 - current value of the measured signal;

(i-l) the previous sample of the measured signal;

(x.) - the previous value of the measured signal,

and complete the measurement cycle while maintaining this ratio.

The drawing shows a functional diagram of the device for implementing the proposed method.

The device contains a meter 1, the output of which is connected to the first inputs of keys 2 and 3, a counter 4 of the current count numbers, a block 5 of current samples summation, the first input of which is connected to the output of the key 2, a block 6 of the previous samples, the first input of which is connected to output 3 , counter 7 of the number of previous samples, block 8 division, one input of which is connected to the output of counter 4, the other to the output of block 5, and the output of which is connected to the output of the device, block 9 of division, one input of which is connected to the output of counter 7, the other to exit b 6, and the output of which is connected to one of the inputs of division block 10, the other input of which is connected to the output of block 8, and the output to one of the inputs of the decoder 11, the other input of the decoder 11 is connected to the setpoint source, and the output to the first input of the block 12 controls, the second entrance is 50964:

connected to the bus Starting device, the first output - to the control input of the key 2 and to the first input of the counter 4, the second output - to the controlling 5 input of the key 3 and to the first input of the counter 7, the third output to the second inputs of the counters 4 and 7 and blocks 5 and 6, quarter-output to the control inputs of blocks 8 and 9, fifth output 10 to the control input of block 10.

Control unit 12 may be performed, for example, on a control microcomputer.

The device works as follows 15 times.

On a start signal, the device starts working. The signal x (t) is fed to the inputs of keys 2 and 3. Key 2 is opened by signals from the first stroke of block 12 through ty, key 3 is opened by signals from the second output of block 12 through x, i, i. with a delay of one cycle. Clock pulses from the specified outputs of block 12

25 are summed in counters 4 and 7, and i counts are accumulated in counter 4, and (i-1) impulses accumulate in counter 7.

Discrete values of the measured

The 30 x signals are recorded and summed up in block 5, the summation of the current values of the samples x, the values in block 6, the summation of the previous values of the samples.

35 After each clock pulse

in blocks 5 and 6, the sums fJ / v-f 51 X and SIDx- are formed, which arrive at

1 mind

the inputs of blocks 8 and 9 division. Each home clock pulse from the fourth output of block 12 in blocks 8 and 9 of the division is made

l / - "

five

: §R: y; v

--.- and, the results of which

arrive at the inputs of the block W, in which the clock signals from the n

the output of block 12 is made by dividing U-i

Dividing result

I-y-g V

. J 7- / | 4. L,. 1; 1

i-1

In block 10, it is fed to the input of the decoder I, where the obtained value is compared with the preset value

(lii). In this way, each step is counted and compared until a condition of 3 is reached.

stump (1), after which the output of the decoder 11 generates a signal at the first input of the control unit 12, which stops the formation of clock pulses at the first and second outputs of the block 12, at the third output of the block 12, the zero signal of the blocks 4-7 and the output block 8 dividing counted received

expectation value l / 1 x

": T- -1 t

,

   Fibi where N corresponds to the number of samples in the counter 4, the number of current samples when the derivative of the expected value has reached a predetermined small value based on the specified relative error i and.

Claims (1)

The use of the proposed method in information-measuring systems makes it possible to significantly increase their technical and economic indicators, especially when measuring many parameters, for example, in the oil field conditions. Invention Formula Method of measuring the mathematical expectation of a random signal, compiled by S. Rybin Editor M. Kelemesh Tehred L. H. Order 4404/40 Circulation 728 VNIISH1 USSR State Committee for inventions and discoveries 113035, Moscow, Zh-35, Raushsk nab., 4/5 Production and printing company, Uzhgorod, st. Project, 4 50964 In a uniform signal sampling and averaging of the results obtained, characterized in that, in order to increase the speed of measurement, the consecutive samples are summed up and averaged, after each sample, the average values of the previous and current samples are recorded and compared according to the ratio ten / J-1 (1-A) 7-- (il). i-1 S where A is the specified relative error of the estimate of the expectation; i is the current reading of the measured signal; x- is the current value of the measured signal; (i-l) - the previous sample of the measured signal; x - the previous value of the measured signal, and if this ratio is observed, complete the averaging cycle. Proofreader I. Erdeyi Subscription