SU1345220A1 - Device for determining statistical characteristics of random processes - Google Patents

Abstract

The invention relates to specialized computer hardware and is intended to determine the statistical characteristics of random processes. The aim of the invention is to improve the accuracy and expansion of the dynamic range of the device. The device contains a quadrant 1, centering filters 2 and 3, a switch 4, a multiplication unit 5, an amplifier 6 with a variable coefficient sign, a comparison circuit 7, a sawtooth voltage generator 8, I, or il. (L SP e N3

Description

The invention relates to specialized computer hardware and is intended to determine the statistical characteristics of random processes.

The purpose of the invention is improving the accuracy and expanding the dynamic range of the device;

The drawing shows the proposed device.

The device comprises a quadrant 1, centering filters 2 and 3, a switch 4, a multiplication unit 5, an amplifier 6 with a variable coefficient sign, a comparison circuit 7, a sawtooth voltage generator 8.

The device works as follows. .

The studied signal X (t) is fed to the input of the Quad 1, the output of which is the signal and, X (t), coming to one input of the switch 4, the first input of the multiplication unit 5 and the input of the centering filter 2, the output of which produces a signal

Uj j h (t :) X (t-t) d 2r,

where h (C) is the impulse response of the centering filter 2.

In the initial state, the switch 4 is in the state shown in the drawing, and the amplifier 6 has a gain factor equal to the output of the circuit 7 have a negative signal period -A. At the output of switch 4 at this moment there will be a signal

WW

and, (t) j X b (d) x (t - o) dt.

de It) - switching function of switch 4, is -A

And at the time of Time s-1 and m (t, - g,);

T, is the period of the following pulses at the output of circuit 7; . -A - permanent.

At the input of the centering filter 3 will be the signal

 00

Uj -2 (t) x j h (t).

about

The next moment-time switch 4 is in the opposite position, and amplifier 6 has a gain factor of 1. At the output of switch 4, there will be a signal U X and at the output of filter 3 a signal u, X. In the steady state, when the output of the filter 3 is zero, they have

xim

V

h (t)) X t-tjldl flJ) l

kurtosis

those. (t) equal to the value of a random process.

The amplifier 6, having realized the principle of temporal separation of signals, generates at the input of the centering filter 3 a variable signal having the form of a meander, the amplitude of the positive pulses of which is Ug, and the negative Ug. At the output of filter 3, the signal Up is proportional to the estimate of the expectation of the variable signal arriving at its input, which is fed to one input of the circuit 7, to the other input of which a sawtooth voltage is supplied from the generator 8.

40

Circuit 7 compares the periodic sawtooth voltage with the signal from the output of fig. 3. If the signals are equal, the circuit 7 changes from one steady state to the opposite one, i.e., at its output, a periodic sequence of square impulses is generated. Г is proportional to Up. This sequence from the circuit 7 is supplied to the control inputs of switch 4 and amplifier 6. The position of switch 4 is opposite

5, and the amplifier 6 has the sign of the gain coefficient from - to + for the time from, which changes until the output of the centering filter 3 is zero.

50

and

Considering that iT is proportional

55

R. The estimate of the excess process of a random process is the relative pulse duration of the circuit 7 - tr--, where

T 4

Tj - the period of following sawtooth pulses at the generator output 8.31345220

Claims (1)

The invention is connected to the quad output, a device for determining the statistics, the second information input of the commutative characteristics of the random tator is connected to the output of the first process, containing the quad, the input of the centering filter, the switching output of the device, the torus is connected to the second input block and the output of the quad is connected to the multiplication, the output of which is connected to the left input of the multiplication unit and the input to the information input of the amplifier from the first centering filter, alternating mch of the coefficient, the centering filter, of which is connected through the second so that, in order to center the filter to the first input, to increase the accuracy and extension of the comparison circuit, the second input of which has a range, a connected with the generator output, sawing generator, sawtooth voltage, figurative voltage,. and the output of the comparison circuit, the amplifier with a change - 15 comparison is connected to the control sign of the coefficient and the switch of the switch and the amplifier with the transmitter, the first information input with the coefficient sign.