SU1236503A1 - Device for determining structure function of random process - Google Patents

Abstract

The invention relates to specialized measuring and computing equipment and is intended to evaluate the first derivative of the structural function) in the general case of the non-stationary process x (t), i.e. D, (t) "dD. () / D t. The purpose of the invention is to increase the speed and enhance the functionality of the device by determining the derivative of the structural function of a random process. The goal is achieved by introducing into the device an amplifier, a multiplication unit and a differential unit with the corresponding functional connections between them and the known units of the device. 1 il. with S (L

Description

one

The invention relates to specialized measuring and computing equipment and is intended to evaluate the first derivative of the structural function D (t) in the general case of the non-stationary process x (t), i.e. o; (7) - dD, (r) / dt.

The aim of the invention is to improve the speed and functionality by determining the derivative of the structure function of a random process.

The drawing shows a diagram of the device.

The device consists of a subtracting unit I, the output of which is connected to the input of amplifier 2. The output of the latter is connected to one of the inputs of multiplication unit 3, the output of which is connected to one of the inputs of the first adder 4, the output of which is connected to the information input of the controlled divider 5.

The output of the controlled divider 5 is connected to one of the inputs of the second adder 6. The output of the differentiating unit 7 is connected to the second input of the multiplication unit 3. The output of the pulse counter 8 is connected to the control input of the controlled divider 5.

The output of the element NOT 9 is connected to another input of the first adder 4.

The output of the second adder 6 is connected to the information input of the first block of 10 registers. Controls the input of the second block P of registers is combined with the input of a pulse counter and connected to the output of a frequency divider 12, the output of which is combined with the control input of the first register block and connected to the output of the generator 13 clock pulses. The output of the second register block 11 is connected to one of the inputs of the subtracting block 1, the other input of which is combined with the input of the differentiating block 7, with the information input of the second register block 11, and is the input of the device. The output of the first block of 10 registers is connected to the second input of the second adder 6 and to the input of the element 9. The output of the frequency divider is connected to the input of the counter 8 pulses.

The device works as follows.

The implementation of the random process x (t) is simultaneously fed to the input of the subtracting unit 1, respectively.

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and an information input of the second memory unit 11, controlled by pulses X t) from the output of the frequency divider 12. At the moment of the pulse -5 (ti) occurrence at the 5 output of the second memory block P, and therefore, the signal value x (t) corresponding to this time instant is set at the input of the decrementing subtracting block. A signal x (t) is continuously fed to the input of a reading block 1. Therefore, the output of the subtracting unit 1 is determined by the following expression

z (t) x (t;) - x (t ,. + 2-),

15

(one)

where o is the time delay between the signals x (t) and x (t;), changing synchronously with the current time.

The output signal of the subtracting unit 1 is fed through amplifier 2 to the first input of multiplication unit 3, the second input of which receives the signal dx (tj + T) / dtc of the output of the differentiation

block 7. From the output of block 3, the signal 22 (t) dx (t,) / dt is converted into a circuit consisting of two adders 4 and 6, a controlled divider 5, and is fed to the input of the first

a block 10 of registers representing a set of P serially connected memory cells clocked by impulses arriving at the control input of the first block of 10 registers. Here, on arrival on the control circuit of a clock pulse, the contents of the cells are rewritten from the previous to the last one.

Control pulses are received from the clock generator 13. The follow-up period of the ut clock pulses is determined based on the determination of the estimated characteristic (the interval of the structural correction

lion.) and the number of its estimated values (n) equal in turn to the number of cells in the first block 10 registers- j) a and the division factor of the frequency divider 12, i.e.

4t llu.

-

 t- 1 t-ICC

(2)

We will show that on some N-OM cycle 5 at the output of adder 6 a signal is formed that displays the estimate of the derived structure of the function according to the expression

31236503, 4

DV (0 - g (t .G -. (T C) -x (t,)).

(3) .x (.) M-IJ,. (T, .. bx (t,),

where the operator is averaging. Continue further to t ,. we get

As follows from the functional scheme "L 2Гх (1 + r) -x (t)) ,, we estimate the derivative of the structural N) -, L dt

functions on the N-M step is formed in VC DeOt, dt

) (D-b - r2rx (t +)) - Then the expression (6) coincides with the N N-t and 1 L N discrete interpretation of the expression 3 and,

(4) therefore, D. (t) is an estimate

(. With dx (t and t) "..L derivative of the structural function. - - Uj ,, un.

9A

Claims (1)

 Invention Formula At the initial moment of time, in all devices for determining the cells of the first block 10 of the register function of the random process, zeros are written, i.e. the containing first adder, output , 25 of which is connected to the information DO (i-t) О К «1, 2, ..., p. the input of the controlled divider, whose control input is connected to Consider the first few cycles by the output of the pulse counter, the output of the measurements of the controlled divider is connected to J,, J.1 to the first input of the second adder, vyD (C) Dg (t) (t +) -x (t) j whose course is connected to the information- dxCt ch- “input of the first block of registers and X jT 2 | x (t, + is the output of the device, output The first block of registers is connected to ) -d (.) 1 x (tj t) .35 to the second input of the second adder and four   the cut element is NOT to the first input of the first cus 1mator, clock generator  in (t) + L r2fx (t + 7) pulses, the output of which is connected to 2 seconds by the control input of the first block of 40 gistr and with an input, frequency divider. dx (t + t) 40 gist and with input, frequency divider, -xft L dF J the output of which is connected to the control 2 of the second input of the second block of registers the output of which is connected to the input   f2rv (t +) - xTt) 2Llil-i) + of the decremented subtraction unit, the input 2 С -1 d t 45 of the subtractable of which is combined with information input of the second block + 2Г ft 4 -) - x (t) T j (d I) t. registers and is the input of the device t Z-. dt va, different (which, for the purpose of improving speed. 50 and expanding functional possibilities. / J. J. J. stes by determining the derivative  - h 5 5 2 Jtu 1. structural function of a random process; an amplifier, a block  / Л (t Г) jj «« / у Т „multiplying and differentiating block,) J dt 2 55, with the output of the subtracting block H ( 55 while the output of the subtracting unit through the amplifier is connected to the first 55 while the output of the subtracting unit through the amplifier is connected to the first - bfxCt +5) -x (t) 1dt to the input of the coupling unit, the second input 3 L —I of which is connected to the output of the differential multiply and differentiate block, with the output of the subtracting block H ( the output of the subtracting unit through the amplifier is connected to the first inlet unit, second inlet 512365034 A curing unit, the input of which is connected to the device, is connected to the second input of the device, the output of the first adder unit. Compiled by L. Grigor N-Chthents Editor P. Kossey Tehred G. Gerber Proofreader M. Samborska 3093/53 Circulation 671 Subscription VNIIPI USSR State Committee on affairs of inventions and discoveries P3035, Moscow, Z-ZZ, Raushsk nab, d. 4/5 Production printing company, Uzhgorod, st. Project, 4