Abstract
Currently, there are following main directions in which measuring generators can be improved: to decrease total harmonic distortion, to increase accuracy of setting and stability of output voltage amplitudes and frequency, to reduce transient time for establishment of stationary oscillations.
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- 1.
Here, we do not take into account other parameters, except for the OpAmp gain, such as common-mode rejection ratio, input and output resistances, etc.
- 2.
See Sect. 7.2 for more detailed information of how this equation is derived.
- 3.
The optimal values a and b are calculated using the function Minerr in the software Mathcad.
- 4.
That is the transfer ratios without allowance for the amplifier gain.
- 5.
For example, the amplifier UA741.
- 6.
Recall that much the same relationships of the parameters a = b = 1.5 correspond to minimum values of nonlinear distortions.
- 7.
In this expression that describes the circuit in the block diagram shown in Fig. 6.15b, the common term in the numerator is the summand \( \left( { - 1} \right)^{j + r}\, {\text{Wc}}\left( s \right){\text{D}}_{\,j\,r} ,\;j = \overline{1,r - 1} . \)
- 8.
The equation \( \mathop x\limits^{..} + x = \delta \left( {t - t_{0} } \right)f_{1} \left( {t_{0} } \right) \) is fulfilled at the point of crossing between the circle and the switching line. Although the right side of the equation is equal to the product of ∞ by 0, the jump does not occur. This is explained by the fact that this product is equal to zero since the area of the product (property of multiplying the δ-function by the function f) is equal to zero as well. From a physical point of view, it means that the pulse correcting the oscillation amplitude is equal to zero at this moment.
- 9.
The circuit based on elements S1, S2, K1, K2, C3 and C4 are often called the strobe detector.
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Rybin, Y.K. (2014). Optimization of Oscillating Systems. In: Measuring Signal Generators. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-02833-0_6
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