SU451998A1 - Functional converter - Google Patents

Description

The invention relates to the field of automation and computer technology and can be used to reproduce arbitrary functions with an approximation of the latter by a number of Fourier compiled by Walsh functions. Functional transformations are known. Tells designed to reproduce arbitrary functions with an approximation of these functions by a number of Fourier, containing a series-connected Walsh function generator and an adder. However, functional transducers with Fourier approximation of Walsh functions have low accuracy of reproduction of functions, since the approximation function is represented by a five-step curve (due to the properties of Walsh functions). The proposed functional converter is characterized in that in order to fully reproduce the functions, it contains an additional adder and a digital-analog multiplier device, the first input of which is connected to the output of the matrix sum, the second input through the additional adder connected to the generator of the Walsh functions, and the third the input is connected / to the input of the converter; The input of the Walsh function generator is connected to the digital-to-analog multiplier overflow output device, the second output of which is connected to the output of the converter. The drawing shows the block diagram of the functional Converter. The block diagram contains the generator of Walsh functions, adder 2, additional adder 3, cy4-analog multiplying device 4 with two inputs 5 and V and the third input 7 of the function argument, (digit1) 8 the input of the converter, and numeral 9 the overflow output qi4 ro-anaoog replicating device 4). The Walsh function generator is designed to generate the Walsh function signals) (and the outputs are connected to the corresponding inputs of adders 2 and 3, and the input is connected to the output 9. The adder 2 forms a stepwise imprinting of the approximated function F (x) a / n-Wm-W ufn S M-Wrrt (X) (ix or with discrete assignment of the function V (XjWm (XtJ, where I / Q, 1, 2, (/ 2- /) is the number of hours to the interval f of the definition of Walsh functions; V i, 2, 3 , ....., PP, 0, 1, ..., Adder 2 is connected to output 5 of qi (} -analogue multiplying device. Additional adder 3 is designed to form in advance the time of the one-cycle operation of the generator 1- -Q. pa 1 values of the approximated function / m 1 (XL t} WJ fjfnWn {) (l), where (I / d - {X j с / x or at the speed specification ( Functions /.tllWy n / m () tiCс- 0

The adder 3 is connected to the analog input 6 of the digital-analog multiplier 4.

The digital-to-analog multiplying device accepts pulses of a unitary code / argument; arriving at input 7, converts this code to the voltage at output 8, taking into account the voltages arriving at its analog inputs 5 and 6, and also 45 generates an overflow signal at output 9. Exit 8 of the digital-analog multiplex device is the output of the functional converter

Functional converter operation 50 em as follows.

In the initial state, with, the counter of the generator of the functions of the walls and the counter of the digital-analog multiplying device i are set to the zero state. At the same time, 65 at the output of the generator there are signals of the Walsh functions corresponding to ras-.

Mr. / th. (“- CH1-)

with the arrival at the input 6 of the next (+1) th pulse of the current value of the argument in the qi counter (} po-analog multiplying device,

t is overflow and it is set to zero, and output 9 is an overflow signal. This signal coincides in time with the beginning of the following, T.e.yJI l: 4 plots of the interval (0.1) of the domain of definition of the argument. By entering the input of the generator 1, it increases the number in its counter by one. As a result, the generator generates

; Walsh function signals corresponding to

The argument's argument is X-s. At the outputs of the adders and inputs of the digital-analog multiplying device, according to expressions (1) and (2), there are voltages that are considered by the case value of the argument) signals of the adders 2 and (5 dahs of the digital-analog multiplying device according to cp8); voltage (xo) (b) f. . ; reproduction proportional values; my functions are:; %) Fy; (o.: V. -., ™, - -.; At the output of 8 dl / | d О according to the expression (3) it has:. (Ko). / P o -. When arriving at the input of pulses The current value of the argument is filled with a digital analogue multiplying device, and the voltage at output 8, I is proportional to the reproduced function j in the section O) "A | is equal to g / s-0/1 l - and A, G PXX; the counter of the digital-analog MW device is filled up to the maximum number L /, and the max voltage at output 8 is equal to the proportional values of the reproduced function. (",) RPw; f & th" - t W (Xj). TIjpri receipts at input 7 impulse. the current value of X Argumeata, the digital-to-analog meter / shenbgo device counter is refilled and the output 8 voltage is returned. (/ (X When jAsjV / Nickname is a multiple of the device, it turns out to be re-filled to / -, for example --......). / V MdKS {nyue output 3 equals .- (Iw / v -1, (in / pg & t) L (fпР JrimCx) The considered interval of the YOGTG interval ends. The functional converter in the subsequent sections, up to the same as described above. Thus, the proposed functional converter really opposes arbitrary functions with the representation of the last points along the argument axis, multiples of, in the form of a row (1), and at prom trescent points at the form of linearly interpolated values, determined by the expression (5). The implementation of linear interpolation due to the adder 3 introduced in the device and the analogue duplicating device 3, allows to significantly increase the accuracy of reproduction of functions in comparison with the well-known device in which place a piecewise-step approximation next to (.1) .i The item was invented in functional 1 feob | The Ps containing the Walsh fwqc generator and the adder, which is connected with the fact that, in order to improve the accuracy of reproduction of functions, it contains an additional adder and qi4 o-analog multiplying device, the first input is connected to the output of the adder, the second input is connected via an additional adder to the output of the Walsh function generator, and the third input is connected to the input of the converter, the input of the generator of the Walsh functions is connected to the overflow output of the digital-analog multiplier , the second output of which is connected to the output of the converter.