SU708363A1 - Method of reproducing exponential function - Google Patents

Description

This invention relates to the field of analog computing.

There is a known method of reproducing the power dependence 1, using two exponentially varying in time voltages with different, time constants, based on averaging using a filter of the region of one exponent; starting at the time point corresponding to the equality of the input signal by another exponent. The disadvantage of this method is the limited speed of the devices implementing it.

The closest technical solution is a method of reproducing power dependence 2, based on the formation of pulses by sampling from one exponentially time-varying voltage of fixed time intervals starting at time points corresponding to the equality of the instantaneous values of the input signal to another Exponentially varying time in time. voltage, followed by memorization of the amplitudes of the received pulses. Such a method of obtaining a power dependence can be used only in cases where the frequency of the exponential waveform is higher than the frequency of the input signal, which narrows the frequency range of the input signal and is the main drawback of the method.

The aim of the invention is to spread the frequency range of reproduction by a power dependence of the range to high frequencies. This is achieved by the fact that in the method of reproducing a power dependence based on the Normalization of pulses by sampling from

5 of one exponentially time-varying voltage of fixed time intervals. And starting at the moments of time corresponding to the equality of the instantaneous values of the input

0 signal to another exponentially time-varying voltage, the period of exponentially varying in time-voltage selects more than the period of the input

5 signals, and the output signal is obtained by filtering the pulses.

FIG. 1 shows a timing diagram for explaining a method of simulating a power relationship,

0 in FIG. 2 is a block diagram of an apparatus for carrying out the proposed method. The device contains a generator 1, clock pulses connected to generators 2 and 3 of exponentially varying voltages in time, one of which is connected via key 4 to filter 5 and the other to the input of comparing device 6, the second input of which is connected to the input source signal, and the output through the ENT world of 7 pulses is connected to the key 4. The device operates as follows. The generator of 1 clock pulses produces electrical pulses that simultaneously start generators 2, 3 of exponentially varying in time voltages with identical initial voltage levels of the PD equal to —OR or exceeding the value of the input signal U and along the lines and Г accordingly. The constant inversions of the generators are in the ratio of 11 NOMs of a given degree of reproducible power dependence. At time t (see (ig. 1 of the input voltage equalities exponentially varying} it in time voltage) of the generator 3 at the output compare its device 6 appears voltage that is applied to the driver 7 impulses exp | Atvoltai electric pulses of constant duration, opening the key 4. During the passage of these pulses, the voltage is supplied to Lilter by Uj, Ujje from generator 2. The combined solution of the equations determining: the instantaneous value of the voltages 17; and Uj of the same Bmemen dt values: ate e cooTHOfi output ol and input voltages: U h. Since the voltage varies exponentially with time, the voltage gradually acquires all the values of the input signal, the input signal will be represented as a sum of discrete voltage levels of a certain constant duration, amplitude equal to the corresponding values of the input signal raised to a predetermined degree. The accuracy of this method is determined by the fact that the bolts — i.e., the frequency of the input signal determining the discreteness of the output signal. Thus, the proposed method allows significantly (approximately 1-2 orders of magnitude) to expand the reproduction range of the power dependence of the input signal to the high frequencies. Claim method A method of reproducing a power dependence based on pulse lumping by sampling from one exhibit, time-varying voltage of Fixed time intervals, starting at time points corresponding to the instantaneous values of the input signal to another exponentially varying time, from. characterized by the fact that with the purpose of expanding the reproduction range of the power dependence of the input signal to the high-frequency region, the follow-up period The time-varying voltages choose more than the period of the input signal, and the output signal is obtained by impulse filtering. Sources of information taken into account in the examination 1. The author's certificate of the USSR (229844, class G About G 7/16, 196R. 2.Smolov BV Analog computers, M., Vyssha school, 1972, p. 253 , Fig. -37, (prototype).

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Claims (1)

Claim A method of reproducing a power-law dependence based on Pulse generation by sampling from one voltage exponentially time-varying time Fixed time intervals starting at time instants corresponding to the equality of the instantaneous values of the input signal to another voltage exponentially time-varying, revealing that the power-law expands dependences of the input signal to the high-frequency region, the repetition period of exponentially varying in webbings selected voltages higher than the input signal period, and the output signal is obtained by filtering pulses.