SU780017A1 - Sine-cosine converter - Google Patents

Description

54) SINUS-COSING CONVERTER

t

The invention relates to computing and can be used in analog computing devices associated with trigonometric converters.

Sine-cosine transducers based on one or another approximation of the reproducible dependence are known.

The first one contains multiplies spruces and adders l. Possessing high accuracy, it nevertheless has a significant drawback, which is that this converter does not have the ability to adjust the scale of the reproduced dependence, which happens in a number of solvable tasks.

The sine-cosine converter is the closest to the invention according to the technical essence, the output voltages of which are the sine and cosine functions of three members of the Maclaurin series 2. The prototype contains multipliers and adders.

Its disadvantage is the lack of adjustment of the scale of the reproduced dependence and the relatively large amount of equipment.

The purpose of the invention is to simplify and extend the range of variation of output functions.

5 The goal is achieved by the fact that a sine-cosine transducer containing the first and second adders and the first multiplication unit, the first input of which is given by the first input

fO converter, contains the third and fourth adders, the second and third multiplication blocks, the first input of the converter is connected to the first inputs of the second and third block

5 multiplication, the second input of the converter is connected to the second input of the first multiplication unit and the first inputs of the adders, the output of the first multiplication unit is connected to the second inputs

20 first and second adders, the output of the third adder - with the third input of the first adder and with the second input of the second multiplication unit, the output of which is connected to the second

25 input of the third adder, the output of the fourth adder - With the third approach of the second adder, and with the second input of the third multiplication unit, the output of which is connected to

30 second input of the fourth adder.

The converter, the block diagram of which is shown in the drawing, c6 holds blocks multiplying 1-3, supersalmators

; 4-7. -;

The Converter operates as follows. .

The work is based on the following approximation dependences, which are valid for i

S N-f-; 1 | 1 2.48V54tsM, 9672 (1)

IG, 45954 0 T--1Shch58bi-248854x 4.45574 (2)

A sine dependence is formed at the output of one of the output sum-. tori, for example 4, and cosine - on & Other output adder 5. P; this is where the first members of the indicated dependencies (1) and (2) are formed at the output of adders b and 7, the output voltages of which are equal to the corresponding, -

(3)

l 4th. eleven

KTZ Sx d.

(M -f - "j.Uex,

where u

UQJ - input voltage

nor a transform agent; .

- coefficients. D- 1

6g

72

1 mators b and 7 on the first and second entrances.

The scaling factors of multiplication blocks 2 and 3 are equal to 1.

The output voltages of the converter are:

),

(five)

f

0

Ta

C-- ex

(6)

 ffiUex Kj -l-ki

) k

Comparing expressions (1), (2) with (5), (6), it is easy to see that by simply selecting the scale factors for the inputs of adders 4-7, you can get the required dependencies.

gu & xi (7)

 2U

pp

but

ex wax 1tUbx

(eight)

U, - Ue, COs

2 C

ex-ma

with an error of not more than 0.38% when the input voltage varies in the range OtfU, Uft ,,.

The second input voltage UJJ is an adjusting variable, which determines the scale of the output values. The technical and economic effect from the use of the invention is determined by the expansion of functionality with a certain savings in equipment.

Claims (2)

1. Handbook of nonlinear, ed. D, ейingolda, M., Mir, 1977, p. 68-69. , 50 2. US patent No. 3688098, cl. 235-197, published. 1972 (prototype). %