SU1176349A1 - Function generator - Google Patents

Abstract

FUNCTIONAL TRANSFORMER, containing n formers of nonlinear functions; the inputs of which are combined and are the input of the converter, and an algebraic summing unit, to the n inputs of which are connected the outputs of n multipliers by constant coefficients, and its output is the output of the converter, characterized in that it contains n input mashtab algebraic adders, the corresponding inputs of which are combined and connected to the outputs of the corresponding formers of nonlinear functions, and the outputs are connected to the inputs of the corresponding multipliers with constant coefficients itsienty.

Description

Od

The invention relates to analog computing and can be used to model functions by smooth continuous interpolation of some functional series. The aim of the invention is to simplify the adjustment of the converter. Figure 1 is a diagram of a converter; FIG. 2 shows an example of the characteristics of the formers of nonlinear functions for the three-channel converter. The converter (fnig.1) contains the formers C – 1 of nonlinear functions, block 2 of algebraic summation of nn-input scale algebraic adders 3, -3jj and multipliers v by constant coefficients, connected according to the above scheme. The connection of a new feature with a positive effect is expressed in the fact that additional adders make it possible to get voltages at the outputs that have the O / Y – G property if l, if j t, where j is the number of the adder 3j; The m-th interpolation node, thereby reducing the simulation of arbitrary func- tions to the installation of their given values at the nodes on the multipliers by constant coefficients 4, -4 ,. . The converter works as follows. The input value x is fed to the shapers of nonlinear functions l.-lfj, which generate members of the interpolation functional series C |, (x), (k), ..., n (- They, in turn, arrive at the inputs of the adders 3 (.- 3c. At the outputs of the adders 3, -3Г), the voltages i (x), 9j (x), ..., nl) are formed. where

j (K) -ZKijCf; lv), (2) y

adder number 3j;

the number of the adder's input 3 j and the number of the non-linear generator C connected to it 55

Function; klaffictsent established

from i-th input, i-ro adder.

Consider the work on the example of a three-channel converter.

Since the type of characteristics of the formers of nonlinear functions 1, -1. not limited, for definiteness, we will accept them as shown in Fig. 2, where the curves represent the functions Cf, (x), t | ii (x), tfj (x.

The numerical values of these functions in the intergoller nodes are listed in Table 1. The coefficients KJ: give the values K..i M TU (i) .... 4n (v.) (. ChDH) .... e "(-) iM (xJ .. (fnOfn) 4j - algebraic complements of elements i-ro determinant; x, -x J. - interpolation nodes. Obviously, the output voltages of the adders 31 V). (5) do not depend on the type of interpolated function and are entirely determined by the choice of a system of interpolation nodes. Moreover, due to the established coefficients KiJ, (fi) L 11 takes place if J t The resulting voltages 9 "(x) are fed to the inputs of the multipliers constant coefficients 4 :. If it is required to interpolate the function f (x) given by its values f (x), fCx,) ..., f (x) at the interpolation nodes, then the value f (x,) is set on the multiplier 4, the value fCxj) of the multiplier 4 -, ..., f (xj) - on the multiplier 4. As a result, the function (p (x) f (x) j for which cfCx., (X,) CfCXnViix) is executed is implemented at the output of the converter.

31176349

Table 1

no d at the outputs of the Z.-Zadis adders

The coefficients at the inputs of the adders 3 | -3i should be in accordance with formulas (3) and (4) as follows: к „0.75; Kj, 0.75; k ,, 0,5; K, j 0; to 32 -1; K, j - 0.25; Kj, 0.25; to "0.5. Setting these summation coefficients to non-linear stresses provides the following stresses

. fx) .V2W

.Vn (X)

In

ABOUT

ABOUT

X

Thus, the functional converter is ready for a set of functions. To obtain the required functions at the output of the converter, it is sufficient to set the values of such functions at the points x |, x2, xa at the multipliers 4, -4

fdtij

/ Gh)

Claims (1)

FUNCTIONAL CONVERTER containing η formers of nonlinear functions; the inputs of which are combined and are the input of the transducer, and the algebraic summation block, to the η inputs of which the outputs η of the multipliers by are connected. constant coefficients, and its output is the output of the converter, characterized in that, in order to simplify the setup, it contains η η-input scale algebraic adders, the corresponding inputs of which are combined and connected to the outputs of the corresponding shapers of nonlinear functions, and the outputs are connected to the inputs of the corresponding multipliers by constant coefficients. m 05 W With