SU1164741A1 - Device for estimating ratio of correlation moment - Google Patents

Abstract

A DEVICE FOR ASSESSING THE RELATION OF CORRELATION MOMENTS containing a cert adder, a first multi-stage filter of the first order, the input of which is combined with the input of the first multi-stage filter g-ro, and the first input of the device, the output of the first multi-level filter of the third order is connected with the first input of the second adder, the output of the first multilink filter g-ro is connected to the information input of the first key, the control of which input is combined with the control input of the second key, the input of the registration unit and connection Yuchen to the output of the pulse-width modulator, the input of which is connected to the exhaust; the first integrator, the input of which is connected to the output of the third adder, the second multi-link filter of the second order, the input of which is combined with the input of the second multi-link filter g-ro then This is the second input of the device, the output of the second multi-stage filter g-ro is connected to the information input of the second key, characterized in that, in order to improve accuracy, two quadrs, four HE elements, four averaging blocks, four e switch and clock generator, the output of which is connected to the control inputs of the first, second, third and fourth switches, the first information input of the first switch is connected to the output of the first element NOT, the input of which is combined with the second information input of the first switch and connected to the input of the second multi-link filter g-ro order, the output of the first switch (L torus is connected to the second input of the second adder, the third input of which is connected to the output of the first block at the average, the input of which is connected The output to the output of the first key, the output of the second U adder is connected via the first quad to the inputs of the second element NOT and the first information input O) of the second switch, the second information input of which is connected to vj. output of the second element NOT, the output L of the second switch through the second; averaging is connected to the first input of the third adder, the output of the second key through the third averaging unit is connected to the first input of the first adder, the second input of which is connected to the output of the third switch, the first information input d is connected to the output of the third NOT element, whose input is combined with a second information input tret-: its commutator and connected to input

Description

The first multi-tier filter g-ro is of the order, the output of the first multi-tier filter is not connected to the third input of the first adder, the th order through the fourth element, the output of which through the second quad is connected to the first information input four-quarters

switch and the input of the fifth element NOT, the output of which is connected to the second information input of the fourth switch, the output of which. through the fourth averaging block, the connection to the second input of the third adder.

The invention relates to specialized means of computer technology and is intended to estimate the ratio of the moments of different orders of the normalized mutually correlation function of two random processes represented in analog form ..,. A device is known for determining the correlation characteristics of a random process, containing multivalent filters of r-th and g-ro. the orders, the inputs are coupled and are the input of the device, inverter, switch,. an adder, the first input of which is connected to the output of a multilinker go-filter of the t-th order, and the output of the multilink filter g-ro is ordered through a series of connected key and an inverter connected to the second input of the adder, the multiplication unit, the inputs of which are connected respectively to input to the device and to the output of the adder, and the output through a serially connected averaging block and pulse-width modulator is connected to the control input of the key and to the input of the registration block 01 This device does not allow estimating the ratios of two moments orders of the normalized mutually correlation function of two random processes y (t) and x (t). . The closest in technical essence to the invention / is a device for estimating the ratio of correlation moments, containing multi-link filters of the t-th and g-ro order of the inputs of the first multi-link filters of the t-th and g-ro order are combined and the first input of the device, and the inputs of the second multi-tier filters t-th and g-ro then. The dks are combined and in the second BXo; i; oM device, the outputs of the first multilink filter g-ro are about-through the first key and the subtractor connected to the second input of the first adder, the first input of which is connected to the output of the first multilink filter ni-ro order, the output of the second multilink filter g-ro is ordered via a second key to the BTOpibiM input of the second adder, the first input of which is connected to the output of the second multilink unit of the second order, the first multiplication unit, the inputs of which are connected respectively to the second input of the device The output is with the output of the first adder, and the output is with the first input of the third adder, the second multiplication unit, the inputs of which are connected respectively to the first input of the device, and the output of the second adder, and the output - to the second input of the third adder, which output through the last connected integrator and a pulse-width modulator is connected to the control inputs of the keys and the input of the recording unit C2. “The known device allows estimating the ratio of two moments of different orders of the normalized mutually correlation function of two random processes. However, it has insufficient accuracy and. structurally difficult to manufacture, since it contains in its composition structurally complex blocks of multiplying the NW assembled on operational amplifiers. In addition, the accumulated instrumental error in the codes of the blocks is due to the drift of zero amplifiers, temperature instability, etc., leading to a decrease in the accuracy of the set3

pulses at the output of a pulse-width modulator, and thus to a reduction in the accuracy of estimating the ratio of two moments of different orders of the normalized mutually correlation function of two random processes. To improve accuracy, it is necessary to ensure that the characteristics of the channels (blocks of smart marriage) are identical, and failure to comply with this requirement leads to a decrease in

devices that

I

The purpose of the invention is to increase the measurement accuracy and simplify the device-.

The goal is achieved by the fact that in the device containing the first adder, the first multilinker I filter is of the same order, the input of which is combined with the input of the first multilink filter of the g-ro order and is the first input of the device, the output of the first multilink filter the first order is connected to the first input of the second adder, the output of the first multilink filter g-ro is connected to the information input of the first key, the control input of which is combined with the control input of the second key, the input of the registration unit and connected to the output a pulse-width modulator whose input is connected to the output of the first integrator, whose input is connected to the output of the third adder, a second multi-stage filter of the first order, the input of which is combined with the input of the second multi-level filter g-ro of the device and the second input of the device The second multi-tier filter, g-ro, is connected to the information input of the second key; two quadrs, four NOT elements, four averaging blocks, four switches and a pulse generator, the output of which is connected to The first information input of the first switch is connected to the output of the first NOT element, the input of which is combined with the second information input of the first switch and connected to the input of the second multi-tier filter g-ro on the order of the first switch connected with the second input of the second adder, the third input of which is connected to vy4741 .4

the course of the first averaging unit, the input of which is connected to the output of the first key, the output of the second adder through the first quad is connected to the inputs of the second element NOT and the first information input of the second switch, the second information input of which is connected to the output of the second element NOT, the output of the second

0 switch through the second averaging unit connected to the first input of the third adder, the output of the second key through the third averaging unit connected to the first input of the first

s adder, the second input of which is connected to the output of the third switch, the first information input of which is connected to the output 5J of the third element NOT, the input of which is connected

0 with the second information input of the third switch and is connected to the input of the first multilink filter g-ro order, the output of the first multilink filter of the th order after four four th element is NOT connected to the third input of the first adder, the output of which is through the second quadrant connected to the first information the input of the fourth switch and the input n

Q; element, NOT, the output of which is connected to the second information input of the fourth switch, the output of which is connected through a quarter block of averaging to the second input of the third adder.

The drawing shows a block diagram of the proposed device for estimating the ratio of correlation moments.

The device contains multi-tier filters of the order of 1.1 and 1.2, the impulse response characteristic of which is

  i.lb

OK

(one)

: g-ro multi-tier filters of order 2.1 and 2.2, whose pulse response characteristic is

-i n-t

Q (t) -4t-e r,. (2) k VT I

where T is the time constant of each link;

n - 1,2 ... - the number of links; g, m - 0,1,2 ... - order of moment estimation.

elements NOT 3.1 | Зш2, 3.3, 3.4 and 3.5, keys 4..1 and 4.2, averaging blocks

5.1,5.2, 5.3 and 5.4, switches 6.1,

6.2,6.3 and 6.4, adders 7.1, 7.2 and 7.3, quadrs 8.1 and 8.2, integrator 9, pulse-width modulator

10, a clock pulse generator 11 and a registration unit 12, inputs of multi-link filters of the t-th and g-ro orders 1.1 and 2.1: the corresponding information input of the switch 6.3 and the input of the HE 3.2 element are combined and are the first input of the device, and the inputs of the multi-link filters 1.2 and 2.2 of the t-th and g-ro orders, the corresponding informational / input input of the switch 6.1 and the elemental input HE 3.1 are combined and are the second input of the device, the output of the multilink filter 1.1 the t-th order is connected to the first input of the adder 7.1, the second the input of which is connected to the output switch a 6.1, and the output of the multilink filter 1.2 of the t-th order through the NOT 3.4 element is connected to the corresponding input of the adder 7.2, another input of which is connected to the output of the switch 6.2, the output of the multilink filter of the 2.1-th-th order through the serially connected key 4.1 and block 5.1 the averaging is connected to the third input of the adder 7.1, and the output of the multi-link filter 2.2 g – ro is connected via a serially connected switch 4.2 and the averaging unit 5.3 is connected to the corresponding input of the adder 7.2, the input of the square 8. 1 is connected to the output of the adder 7.1, and its output - nepos edstvenno to a first data input via an inverter .i 3.2 informatsionnym- a second input switch 6.2, which is output from the averaging unit 5.2 is connected to the input of the adder peovym 7.3; input quad -8.2 is connected to the output of the adder 7.2, and you -. move - directly with the first information input and through the element. 3.5 with the BTopbiM information input of the switch 6.4, whose output through the averaging unit 5.A is connected to the second inlet of the adder 7.3, the output of which through the serially connected integrator 9 and the hind modulator 10 is connected to the control inputs of the keys 4.1 and 4.2 and the input of the registration unit 12 generator output. 11 clock pulses connected to the control

switch inputs 6.

6.2,

6.3 and 6.4.

The device works as follows.

When applying to the inputs of the device centrifugal random processes x (t) and y (t) on the input of the multilink filter filter 1. 1 t-th order of form. Signal signal

wow

and, H (C) x (t-7) de. (3)

about

and the output of the multisound filter 1.2 t-th order signal

Yj j- h (c) y (t-) d;

(four)

at the exit of the multilink filter 2.1

g-ro sort signal

00

and, - j. G (t) (t-r) d

(3)

and at the output of the multilink filter 2.2 g-ro the signal

00

U4 J G (7r) 5 (t-t)

(6)

At the outputs of averaging blocks 5.1 and 5.3, respectively, we will have signals

OE

% 2 (t) NW x (t-r) (JC; (7) Ue (t) j ° G (2r) y (t-t-) JC, (8)

0

where (t) is the switching function

keys 4.1 and 4.2, is equal to A at the time of the closed key and is equal to -A at the time of T (j is the IT of the public key T is the pulse period of the pulse-width modulator 10 A is a constant value. When the switches are 6.1, 6.2., 6.3 and 6.4 in the position as shown in the drawing at the output of the adder 7.1 will be the signal

and; (and, - Uj) + Ht),

(9)

and at the output of the adder 7.2 signal

and -and, (-1) -and (-1) -x (t) (10)

where () and (-1I are the weights respectively on the first and second inputs of the adder 7.2.

On the quad code 8.1 and the averaging block 5.2 input, the signal and; Ccu.-us) + (t)% (11); at the output of the quad 8.2. VL-Ua -l)) - (t) l 12) and at the input of averaging unit 5.4 averaging the signal (s). When the switches 6.1, 6.2, 6.3 and 6.4 are in the opposite position shown in the drawing, on the adder 7.1 we will have a signal uf (and, -%) - y (t), (13) at the output of the adder 7.2 a signal and -and (-1Г -% (- 1) + x (t), (14 on the quad 8, 1 and; Г (and, -и5.) - y (t) S (15) and at the output of the averaging block 5.2 there is a signal (-Uq), at the output a quadrant 8.2 and the input of the averaging block 5.4, (-i) u, (-i) (t) s The clock generator, implementing the principle of time division, allows to receive at the input of the averaging block 5.2 a variable signal having the form of the meander, the amplitude of positive pulses, which is equal to Ua, and negative (-U), and the output of the 5.4 averaging unit has a variable signal, which also has the form of the meander, the amplitude of positive pulses is equal to U., and negative (-Cd). At the output of the averaging block 5.2. 5.3, taking into account expressions (3), (7), (13) and (15), we will have the signal 00. U ,, LnH (2:) 5 (t-) Jt-, 2 (t) | ssg-) o-o § (t-r) rt f (t).,, and on the code of the 5.4 block of averaging with Schr L (-iTl n (r) (t-d) - (-1) 4 (t) JG (i:) y (to) dt (t) (1 o at the output of the adder 7.3 will have a signal and, - and ,, -ь and,, (19) and at the output of the integrator 9 signal Ui4, proportional to the estimate of the mathematical expectation of the sum signals UK-ti OD, the action of which the pulse-width modulator 10 changes the pulse length until the expectation of signals f is equal to zero, i.e. O, in the steady state (when 0) taking into account implications (1) (2), (17), and (18) we obtain (t) at. -OP gderz, - the normalized mutually correlated function of random signals y (t) and x (t). As an estimate of the ratio of the moments of the mutually correlation functions of the studied processes, the relative pulse duration of the pulse-width modulator 10 measured by the recording unit 12 is taken. The accuracy of the device is ensured by applying a compensation method of measurement estimates of mathematical expectation and can be determined with high accuracy. In addition, the accuracy of estimating the mathematical expectation at the output of integrator 9 in the proposed device does not depend on the insertion error of the nonlinear elements (quad, multiplier), and in the prototype it depends mainly mostly: its accuracy. By simplifying the design of the proposed device, calculations have shown that the mean time to failure has increased by 30%. The implementation of the proposed device presents no technical difficulties. As a clock pulse generator, a self-oscillating multivibrator can be used, switches and keys can be implemented on field-effect transistors, NOT elements, an integrator and adders can be implemented on an operational amplifier, an auxiliary unit, an averaging unit on an operational amplifier, m-th and g- filters. ro orders can be implemented on (m + n) and (g + n) sequence 91164741. . 10no-included low-pass filters using the piecewise linear approximation by the transfer functions of -, -, mation using diodes or a stabilizer can be realized

thrones 3.

Claims (1)

DEVICE FOR ASSESSING THE RELATIONSHIP OF CORRELATION MOMENTS, comprising a first adder, a first m-order multi-link filter, the input of which is combined with the input of the first g-ro multi-link filter and is the first input of the device, the output of the first m-th multi-link filter is connected to the first input of the second adder, the output of the first g-ro multi-link filter is connected to the information input of the first key, the control input of which is combined with the control input of the second key, the input of the registration unit and connected to the output to a pulse-width modulator, the input of which is connected to the output of the first integrator, the input of which is connected to the output of the third adder, the second multilevel filter of the mth order, the input of which is combined with the input of the second multi-level filter of the g-ro order and is the second input of the device , the output of the second multi-link g-ro 'order filter is connected to the information input of the second key, characterized in that, in order to improve accuracy, two quadrators, four NOT elements, four averaging units, four switches and ge a clock pulse generator whose output is connected to the control inputs of the first, second, third and fourth switches, the first information input of the first. the switch is connected to the output of the first element NOT, the input of which is combined with the second information input of the first switch and connected to the input of the second g-ro multi-link filter, the output of the first switch is connected to the second input of the second adder, the third input of which is connected to the output of the first averaging block, input which is connected to the output of the first key, the output of the second adder through the first quadrator 'is connected to the inputs of the second element NOT and the first information input of the second switch, the second information input which is connected to the output of the second element NOT, the output of the second switch through the second. The averaging block is connected to the first input of the third adder, the output of the second key through the third averaging block is connected to the first input of the first adder, the second input of which is connected to the output of the third switch, the first information input of which connected to the output of the third element NOT, the input of which is combined with the second information input of the third-: its switch and connected to the input SUJ164741 of the first multi-link filter of the g-ro order, the output of the first multi-link filter, of the nth order through the fourth element is NOT connected to the third input of the first adder, the output of which through the second quadrator is connected to the first information input of the fourth switch and the input of the fifth element NOT, the output of which connected to the second information input of the fourth switch, the output of which through the fourth averaging block is connected to the second input of the third adder.