# Trigonometric scensny converter

(57) Abstract:

The invention relates to measuring technique and can be used as a functional transducer. The purpose of the invention is to improve the accuracy of conversion. The Converter comprises an amplifier with an adjustable gain, the block extracting the square root of the difference between the known and the square of the unknown quantity and a unit of extraction of the square root of the sum of known and unknown square values. 1 Il.

The invention relates to measuring technique and can be used as a functional Converter when you want to determine the value of secX with high performance and low measurement uncertainty when changing the argument from 0 to 4.

Known trigonometric converters time-pulse type, which allow to determine the value of secX with a small error in conversion of about 0.1% when changing the argument from 0 to 4, but have low performance.

Function secX can be obtained as a function inversely proportional to the cosine functions. For example, the known cosine frequency Converter comprising a shaper rectangular pulses, block differentsirovannymi performance.

A device for calculation of trigonometric functions, the output voltage which can be used to determine secX containing two out phase-sensitive rectifier and connected in series time-pulse Converter, the pulse shaper, the integrating amplifier and the amplifier-limiter as well as a generator of sinusoidal oscillations.

Such a device for measuring values os X, respectively secX, is the error due to drift of the integrator, and most importantly has a low performance.

Known trigonometric Converter comprising multipliers, adders, reference voltage that determines the scale of the transformation. To ensure a small error conversion using a complex function approximation, which can be represented as follows:

cos(/2)X (1 0,21361 X 0,99914 X2-0,21265 X3)/(1 0,2097 X + 0,2097 X2).

To determine the function of secX this expression is converted to an expression where the numerator and denominator are reversed. The device can have a high performance, low methodological error, but it would be very difficult to implement, limited dynamics in the mental error, define the total error of several nonlinear blocks.

Closest to the invention is a trigonometric scensny Converter comprising an amplifier, the gain of which varies according to a law similar to the nonlinear, piecewise linear approximation. The desired non-linear function corresponding secX get when using multiple breakpoints, applying the reference voltage and the diodes in the feedback circuit of the amplifier.

Such a device, though rather simple, but limited by the accuracy of the conversion, as it requires a large number of breakpoints in the piecewise-linear approximation.

The aim of the invention is to improve the accuracy of the conversion.

The essence of the invention lies in the fact that with limited argument value, for example H/4, the approximation can be performed with high precision, specifying the following approximate equation:

secX / 0 for X0,7854

where X is the value of the argument;

A, a, with coefficients chosen from the condition of minimization of the approximation error.

Goal trigonometric ScanSnap the Converter comprising an amplifier with regulatively further comprises a unit for extracting the square root of the sum of known and unknown square values, and a unit for extracting the square root of the difference between the known and the square of the unknown quantity, and the inputs of these two blocks are merged and connected to the input of the Converter, the output unit for extracting the square root of the sum of known and unknown square units connected to the input of the amplifier with adjustable gain control input of which is connected to the output of the block to extract the square root of the difference between known and unknown square values.

The drawing shows a structural diagram of trigonometric sacandaga Converter.

It contains an amplifier with an adjustable gain; block 2 to extract the square root of the sum of known and unknown square values; unit 3 for extracting the square root of the difference between known and unknown square values.

Blocks in trigonometric ScanSnap the Converter is connected as follows.

The input of the Converter is connected to the input unit 2 to extract the square root of the sum of known and unknown square values and the input unit 3 for extracting the square root of the difference between known and unknown square values. In the Odom amplifier 1 with adjustable gain, the control input of which is connected to the output unit 3 for extracting the square root of the difference between known and unknown square values. The output of the amplifier 1 with an adjustable ratio transmission connected to the inverter output.

Trigonometric scensny the Converter operates as follows.

Input voltage Uxcorresponding to the value of the argument X, is fed to the input of block 2 to extract the square root of the sum of known and unknown square values, and the input unit 3 for extracting the square root of the difference between known and unknown square values. The composition of each of the blocks 2 and 3 includes a reference voltage sources Uopthat are connected to the respective reference inputs of these blocks 2 and 3. The output of block 2 to extract the square root of the sum of known and unknown square units receive the voltage U2that depends on the voltage Uxand equals U2= This voltage U2to the input of the amplifier 1 with an adjustable gain, the value of which is determined by the voltage U3coming to its control input from the output unit 3 for extracting the root quadratino voltage source of the reference voltage Uopchoose such that when the value of the input voltage Ux0 at the output of block 2 to extract the square root of the difference between known and unknown square values would receive the voltage Uopequal to the value secXsec0 1. The voltage U2from the output of block 2 to extract the square root of the sum of known and unknown square value is fed to the input of the amplifier 1 with an adjustable gain, a value of K1in this case, when Ux0 must be equal TO11.

The voltage U3the output unit 3 for extracting the square root of the sum of known and unknown square values equal to U3= The input voltage Ux0 get U3Uopso the value of Uopchoose this value so that the voltage at the control input of the amplifier 1 his transfer coefficient K1would be equal TO11.

Consequently, the amplifier 1 with adjustable gain is chosen so that when the control voltage U3Uopthe transfer coefficient K1amplifier 1 was equal TO11 and linearly increased with the increase of the control voltage U3.

Thus, nekotoroe is:

U1= / for U1Uop< / BR>
where the coefficients a, C are chosen in accordance with a minimum value of the error of execution equality (1).

Selecting and 0,788; C0,6156 at the output of the amplifier 1 with adjustable gain gain voltage U1corresponding functions secX and defined by the expression:

secX=U1=Uo= /

for 0Ux0,7854 Uop; 1,0 secX 1,4142; UopU11,4142 Uop.

Consequently, the received expression in accordance with the expression (1). The error of approximation of q can be obtained from the following expression:

q [/-secX]/secX to 0X0,7854

For example, if the selected values And 1.0; and 0,788; 0,6156 get error q with values is not more than q of 0.16% all received error q will have the same signs, so after the introduction of trigonometric scensny Converter corrective constant multiplier can reduce the error in q 0,16% in 2 times.

Hence, the truncation error of the proposed trigonometric sacandaga transducer for 0 < X < <0,7854 will have a value of not more than 0.08% provided small value of the instrumental error, as in ispolzuet example, in unit 3 for extracting the square root of the difference between known and unknown square values 0,788*0,7854 Uop0.6 Uopand in unit 2 to extract the square root of the sum of known and unknown square values 0,6156*0,7854 Uop0.5 Uop.

A small error in conversion amplifier 1 with an adjustable ratio transmission is also possible to provide, because it works in a small range of values of this ratio, i.e. the ratio TO1changes from K11,0 just 15% and no more.

Cosine Converter is implemented using a conventional well-known links.

TRIGONOMETRIC SCENSNY CONVERTER comprising an amplifier with an adjustable gain, the output of which is the output of the Converter, characterized in that it introduced the block extracting the square root of the sum of known and unknown square values and the block extracting the square root of the difference between the known and the square of the unknown quantity, the inputs of which are connected to the input of the inverter, and outputs connected respectively to the information and the control inputs of the amplifier with adjustable gain.

Same patents: The invention relates to measuring technique and can be used as a functional Converter to calculate the values of the functions arc tgk when k<1 The invention relates to computer technology and can be used in information-measuring systems, as well as in various functional transducers to determine the values tgX or arcsinX with high performance, low accuracy, ease of implementation in some interval of values for the input signals changing in a large dynamic range The invention relates to measuring technique and can be used in trigonometric converters to obtain values funktsii 1= arcsin x, 2=arccos x, and various analog computing devices The invention relates to computer technology and can be used in information-measuring systems, as well as in various functional converters, when you want to simultaneously determine the value of sin x and cos x with a small error in the interval of values from 0 to /2 FIELD: computer engineering; automation, data processing and measurement technology.

SUBSTANCE: proposed converter has two registers, NOT gate, angle-code-to-sine/cosine-code functional conversion unit, two digital-to-analog converters, reference voltage supply, pulse generator, counter, two capacitors, subtracting amplifier, two modulators, threshold unit, two selector switches, two buffer followers, threshold voltage supply, comparison circuit, D flip-flop, and reference code shaper; all these components enable functional control of converter during recording pulse time and supply of signal indicating normal or abnormal operation of converter to user thereby essentially raising its self-control ability and yielding profound and reliable information.

EFFECT: enhanced comprehensiveness of control and reliability of converter output data.

1 cl, 2 dwg FIELD: computer engineering, in particular, functional transformers of angle code to sine-cosine voltages, possible use in data processing systems.

SUBSTANCE: device contains block for functional transformation of angle code to code of sine and cosine, generator of impulse pack, NOT element, registers, support voltage source, digital-analog converter, switch, capacitors, buffer repeaters, modulators, threshold block.

EFFECT: increased precision of transformation.

2 cl, 2 dwg FIELD: physics, computer engineering.

SUBSTANCE: invention relates to computer engineering, specifically special-purpose computers. The technical result is achieved by a device for calculating trigonometric functions, which comprises sine and cosine registers, increment registers of the same values, two converters for converting direct code into complementary code, connected, besides by connections between said units, with a clock pulse generator, a memory unit and an argument counter.

EFFECT: method of removing limitations on an argument of calculated functions in the range from 0 to + when calculating trigonometric functions.

1 dwg 