SU1073781A1 - Harmonic function generator - Google Patents

Abstract

A HARMONIC FUNCTION GENERATOR containing a master oscillator connected to it, the first frequency divider, the first generator of the Walsh functions of a sinusoidal signal, the first adder, whose output is through an inverter and is directly connected to the corresponding information inputs of the first switching unit, the outputs of which are connected to the inputs of the first an accumulator, characterized in that, in order to expand the frequency range of synthesized oscillations, the generator contains a second frequency divider, a second generator of Walsh functions with of the waveform signal, the first and second generators of the Walsh functions of the cosine wave signal, the first and second modulo summation blocks, the second integrator, the second adder, the first and second frequency converters to voltage, the second switching unit, the first and second switches, and the second frequency divider connected to the output of the master oscillator, the outputs of the first frequency divider are connected to the inputs of the first switch, the output of which is connected to the input of the first frequency to voltage converter, to the input of the first The generator of the Walsh functions of the sinusoidal signal and the input of the first generator of the Woll functions of the cosine wave signal, the outputs of the second voltage divider are connected to the inputs of the second switch, the output of which is connected to the input of the second frequency converter in the voltage and to the inputs of the second generator of the Walsh functions of the sinusoidal and cosine signals , the outputs of the first Walsh function generator of the cosine wave signal and the outputs of the second Walsh function generator of the sinusoidal signal are connected (L The existing inputs of the first summation unit are modulo, the two outputs of which are connected to the corresponding control inputs of the first switching unit, the outputs of the first Walsh function generator of the sinusoidal signal and the outputs of the second Walsh function generator, the cosine signal are connected to the corresponding inputs of the second summation modulo two, outputs which are connected to the corresponding control inputs of the second switching unit, the information inputs of which are connected to the corresponding nformatsionnymi inputs of the first switching unit, and outputs - to the corresponding second integrosummatora, outputs of first and second inverters to inputs of the voltage coupled to the first adder inputs and outputs of the first and second integrosummatorov connected to the inputs of the second adder. The output which is the output of the generator.

Description

The invention relates to analog computing and can be used with. designing sources of highly stable electrical oscillations with a small discretization step.

A harmonic oscillator is known, comprising a frequency divider unit, the input of which is connected to a master oscillator, a pulse separation unit, and a function generator. Walsh, the outputs of which are connected to the corresponding information blocks of analog switches ij.

However, such a generator has a relatively low frequency setting accuracy due to the complexity of the frequency divider and the presence of high-frequency components in the synthesized harmonic oscillations

The closest to the proposed technical entity is a harmonic function generator, which contains a master oscillator connected to the frequency divider, the outputs of which are connected to a pulse separation unit through a switching unit controlled by a code converter, the output of which is through a counter and a multiplier unit. connected to the input of the Walsh function generator. The outputs of the latter through the second switching unit are connected to the input of the integrator, and the inputs of the converter through the inverter are directly connected to the control inputs of the second switching unit 2,

However, this generator has an insufficiently large frequency range of synthesized oscillations, which is associated with the need to repeatedly (by four orders of magnitude) exceed the frequency of the master oscillator relative to the synthesized frequency. .

The purpose of the invention is to expand the range of frequencies of synthesized oscillations.

The goal is achieved by the fact that the harmonic function generator, which contains the master oscillator, the first frequency divider connected to it, the first Walsh oscillator of the sinusoidal signal, the first adder, which is output through the inverter and directly connected to the corresponding information inputs of the first switching unit, the outputs which is connected to the inputs of the first integrator, contains the second frequency divider, the second - the generator of the Walsh function of the sinusoidal signal, the first and second generators of the function Walsh cosine signal, the first and second modulo summation blocks, the second integrator, the second adder, the first and second frequency converters to voltage, the second switching unit, the first and second switches 1, the second divider is connected to the output of the master oscillator, the outputs the first frequency divider is connected to the inputs of the first switch, the output of which is connected to the input of the first frequency to voltage converter, to the input of the first function generator

0 Walsh sinusoidal signal and the input of the first Walsh function generator of the cosine signal, the outputs of the second voltage divider are connected to the inputs of the second switch, the output of which is connected to the input of the second frequency to voltage converter and to the inputs of the second sinusoidal and cosine Walsh function generators

 the signals, the outputs of the first Wopsch function generator of the cosine signal, and the outputs of the second generator of the Walsh functions of the sinusoidal signal are connected to the corresponding J. inputs of the first summation block

modulo two, the outputs of which are connected to the corresponding control inputs of the first switching unit, the outputs of the first generator of the Walsh functions of a sinusoidal signal and in:; the turns of the second generator

cosine signal Walsh functions are connected to the corresponding inputs of the second summation unit modulo two, whose outputs are connected to the corresponding control inputs of the second switching unit, whose information inputs are connected to the corresponding information inputs of the first comm mutation unit, and the outputs to the corresponding inputs of the second integrator, the outputs of the first and second frequency converters in the voltage are connected to the inputs of the first adder, and the outputs of the first and second integrosummat The connectors are connected to the inputs of the second totalizer, the output of which is the output of the generator.

The drawing shows a diagram of a generator of harmonic functions.

0 The harmonic function generator consists of a master oscillator 1, frequency dividers 2 and 3, adder 4, switches 5 and 6, frequency converters 7 and 8 to voltage, sum5 mater 9, inverter 10, generator

Walsh functions 11 sinusoidal signals, Walsh function generators 12 and 13 cosine signals, Walsh functions generator 14 sinusoidal signal, modulo 15 summation blocks 15 and 16, blocks

17 and 18 switching, integrators 19 and 20,

The generator works as follows:

From the master oscillator 1 pulse arrives at the frequency divider 2 and 3. The divider 2 provides a uniform grid of frequencies within one decade. The frequency of the generator 1, it is advisable to choose as the smallest multiple of the grid frequency. For example, if it is required to obtain a grid of frequencies equal to 90.80, 70, 60, 50, 40, 30, 20.10, then it is advisable to take the frequency of the generator equal to 25,200 Hz. At such a generator frequency, the above uniform frequency grid can be obtained using integer division factors. In parallel, pulses from generator 1 are fed to divider 3, which is made similar to divider 2, but has an additional division level, for example, by 10. Then, at the output of divider 3, a uniform grid of frequencies will be obtained, the discreteness step of which is 10 times less than that of divider 2 .

Mathematic dependence is realized in the generator.

stn (Q + Sl) t sintotcosS7t4-sinQtcoscot,

where ω and S2 are frequencies varying with different discreteness.

If harmonic functions are approximated by the sum of a number of Fourier series along an orthogonal system of Walsh functions

(2)

S ,, (t).

Kio n

Z (it; W (t), (3)

. 0

, (t),

(M

11 0

Z (t), (5)

where Oi ((n Pk.n are the Fourier – Wall coefficients of the row, then the multiplication operation of two harmonic functions can be simplified, since multiplying the two Walsh functions gives another Walsh function

W. (t) Y (t) (t).

(6)

к® п

where C +) is a digit modulo two symbol. Since the Walsh functions take the value +1 or -1, the multiplication is replaced by the addition of the newly synthesized Walsh functions with the coefficients determined by the product pn. The technical implementation of this multiplication is quite simple.

Switches 5 and 6 set a predetermined portion of the pulses that are fed to the inputs of the Walsh function generators 11-14. The Walsh functions are formed from the Rademacher functions, which are obtained from a uniform sequence of pulses by dividing these pulses by .2,4, 8, and 16.

At the outputs of blocks 15 and 16, new Walsh functions are synthesized, which are determined by incrementally modulo two incoming Walsh functions at the inputs. Next, the signals from the output of blocks 15 and 16 are fed to the control inputs

Q blocks 17 and 18 switching.

Since the channels for forming the product of harmonic signals are the same, consider the operation of one channel.

The summation of the Walsh functions and the inclusion of weights equal to the product cC g, is carried out by integrator 19 having n inputs.

The integration operation is introduced in order to better approximate the functions, since it is known that when integrating, the series converges faster. However, in this case, the coefficients of the series and yes are dependent on frequency.

5 In order to implement this dependence in hardware, the reference voltage supplied to the information INPUTS of the switching units must be measured. n is proportional to frequency.

0 Kp of this are the converters 7 and 8 and the adder 9, the output of which produces a signal proportional to the synthesized frequency.

Thus, at the output of the integro5 adders 19 and 20, signals appear, representing the first and second terms in (1), respectively. The summation of these signals is performed in block 4, and at the output a synthesized signal is obtained.

The generator can be made on the basis of standard elements of computing technology.

The application of the invention allows

expand the range of synthesized frequencies.

Claims (1)

HARMONIC FUNCTION GENERATOR, comprising a master oscillator, a first frequency divider connected to it, a first generator of Walsh functions of a sinusoidal signal, a first adder, the output of which is through an inverter and directly connected to the corresponding information inputs of the first switching unit, the outputs of which are connected to the inputs of the first integrator, different the fact that, in order to expand the frequency range of the synthesized oscillations, the generator contains a second frequency divider, a second generator of Walsh sine functions the ideal signal, the first and second generators of the Walsh functions of the cosine signal, the first and second summing blocks modulo two, the second integrosummer, the second adder, the first and second frequency to voltage converters, the second switching unit, the first and second switches, while the second frequency divider is connected to the output of the master oscillator, the outputs of the first frequency divider are connected to the inputs of the first switch, the output of which is connected ¹ with the input of the first frequency converter to voltage, with the input of the first generator the Walsh functions of the sinusoidal signal and with the input of the first generator of the Walsh functions of the cosine signal, the outputs of the second voltage divider are connected to the inputs of the second switch, the output of which is connected to the input of the second frequency inverter to voltage and to the inputs of the second generators of the Walsh functions of the sinusoidal and cosine signals, the outputs of the first generator of the Walsh functions of the cosine signal and the outputs of the second generator of Walsh functions of the sinusoidal signal connected to the corresponding inputs of modulo summation block, two, the outputs of which are connected to the corresponding control inputs of the first switching block, the outputs of the first Walsh function generator of the sine wave and the outputs of the second Walsh function generator, the cosine signal, are connected to the corresponding inputs of the second / Zlok modulo summation two, the outputs of which are connected with the corresponding control inputs of the second switching unit, the information inputs of which are connected to the corresponding information inputs of the first unit and switching, and outputs - to the corresponding inputs of the second integrosummatora, outputs of first and second inverters connected to a voltage from the first adder inputs and outputs of the first and second integrosummatorov connected to the second adder input, output · which is the output of the generator. su „„ 107.3731