Device for trigonometric transformations

 

(57) Abstract:

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. The device includes a quadrature generator, an amplifier-limiter, time-pulse Converter and two unit sampling and storage. The proposed structure allows to increase the measurement accuracy while simplifying the structure. 2 Il.

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 sin and s with a small error in the interval of values from 0 to /2.

Known sine-cosine Converter based on the principle of approximation of the given functions. Converted Converter includes an operational amplifier with nonlinear elements in the feedback loop [1] the Disadvantage of this device is the low accuracy of the approximation.

Known sine-to the third degree. The Converter contains several multiplier-divider blocks, a few adders and scaling elements [2] the Disadvantage of this device is the low accuracy of the transformation due to the significant instrumental error made by a relatively large number of unit engaged in the approximation.

Know another device for calculating trigonometric functions 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 [3] Such a device has the error due to drift of the integrator.

The closest similar technical characteristics is a device for trigonometric transformations, comprising a generator of the reference sinusoidal voltage, two Phaser controlled voltage divider, two blocks of the sample and hold outputs which are output voltages proportional to the sine and cosine of the input signal, and the control inputs are combined and connected via the first driver to output time pulse Preobrazovatel, time-pulse dividers, pulser, the comparison element, and an operational amplifier, the reference DC voltage and the source voltage, the magnitude of which varies in time [4]

Such a device allows, in addition to voltages proportional to the sine and cosine, to generate a voltage proportional to the second input voltage, multiplied by the value of the tangent of the first voltage. However, the use of a controlled divider, the output of which is connected to the information input of the second block of the sample and hold, breaks the symmetry in the formation of voltage sine and cosine, with a controlled voltage divider cannot provide high accuracy when the input signal in a wide dynamic range, which leads to errors at the output of the second unit of sampling and storage. In addition, two independent phase shifter also break the symmetry of the device during the formation of voltages proportional to the sine and cosine, which leads to additional measurement errors.

The aim of the invention is to improve the measurement accuracy while simplifying the structure.

The purpose of the device for trigonometric what od device, and control inputs and their combined time-pulse Converter, the first input connected to the input of the device is achieved in that the control inputs of the blocks of the sample-hold is connected to the output of the time-im - pulse Converter, the second input is connected to the second input of the generator through an amplifier-limiter.

In Fig. 1 presents a diagram of the device of Fig. 2 a-e timing diagram.

The structure of the device includes: a quadrature generator 1; the amplifier-limiter 2; time-pulse Converter 3; two blocks of the sample and hold 4 and 5.

Blocks in the device are connected as follows. The second output of the quadrature generator 1 (sinusoidal voltage) is connected to the input of the amplifier-limiter 2 and to the input of the second block of the sample and hold 4. The first output of the quadrature generator 1 (cosine voltage) is connected to the input of the first block of the sample and hold 5. To the second input of the time-pulse Converter 3 is connected to the output of the amplifier-limiter 2, and to its first input connected to the input device and it is served converted signal UIthe output of the time-pulse Converter 3 is connected to the control inputs biometrische transformation works as follows. Quadrature generator 1 produces at its two outputs of the harmonic voltage amplitude Uaboutand the period of oscillation T 2/w.

U1-2 Uaboutsinwt, Fig. 2A,

U1-1 Uocoswt, Fig. 2B.

Sinusoidal voltage from the first output of the quadrature generator 1 is supplied to the amplifier-limiter 2, which generates rectangular pulses of duration T/2 and the repetition period T, Fig. 2B. The output pulses U2, the duration of which is determined by the oscillation frequency of the voltage quadrature generator with amplifier-limiter 2 and the input voltage UIfed to two inputs of the time-pulse Converter 3, respectively, which generates at the output (as a prototype) pulses with a duration t (UI/Umax)(T/4), where UmaxUI(max) is the maximum value of the duration of the generated pulses and selected this because the device is designed to implement trigonometric transformations in a single box. The maximum duration of the interval t in the quarter period is set by the selection of the conversion To the time-pulse converted user 3:

t [UI/U(T)]TII/K[T/2]T 2UI/,

at t ablaut mode of operation units and storage 4, 5:

during the pulse duration t intervals to-t1, t2-t3in Fig. 2 blocks 4, 5 are in the sampling mode, the rest of the time in storage mode.

In sampling mode, the outputs of blocks 4, 5 are signals from the respective outputs of the generators 1, Fig. 2D.E. In the storage mode (interval t1-t2, Fig. G D. E.) on the output device sets the signal level corresponding to the signal value at time t1, t3and so on, the value of this level would correspond to a value of the converted signal signals U4, U5 in Fig. 2D,that is,

For different values of the input signal to generate a time-pulse Converter 3 pulses of different length and, accordingly, will be different levels of signals in the storage mode outputs blocks of sample and hold 4 and 5.

The value of each of the i-th level will correspond to the sine (cosine) the U-values of the input signal:

U4isin UWH< / BR>
U5icos UWH< / BR>
The method changes the specified levels depending on the type of recording equipment may be different. For example oscillographic register provides immediate visual the shafts t0-t1, t2-t3how logical signals for blocking the output stages of the blocks of the sample and hold 4, 5 in this mode, then the output will be a pulse amplitude corresponding level (shaded area in Fig. 2D,e), which can be modified, for example, the amplitude detector or other meter.

DEVICE FOR TRIGONOMETRIC TRANSFORMATIONS, containing quadrature generator, two blocks of the sample-hold outputs which are outputs, and control inputs are combined, time-pulse Converter, the first input connected to the input of the first output of the quadrature generator is connected to the information input of the first unit of the sample-hold, characterized in that it introduced the amplifier-limiter, the output of which is connected to a second input time pulse Converter, the output of which is connected with the joint control inputs of the first and second blocks of the sample-hold moreover, the second output of the quadrature generator is connected to the information input of the second block of the sample-hold and the input of the amplifier-limiter.

 

Same patents:

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.

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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.

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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.

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