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Measuring Signal Generators pp 283–343Cite as

Optimization of Oscillating Systems

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Part of the book series: Signals and Communication Technology ((SCT))

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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Notes

  1. 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. 2.

    See Sect. 7.2 for more detailed information of how this equation is derived.

  3. 3.

    The optimal values a and b are calculated using the function Minerr in the software Mathcad.

  4. 4.

    That is the transfer ratios without allowance for the amplifier gain.

  5. 5.

    For example, the amplifier UA741.

  6. 6.

    Recall that much the same relationships of the parameters a = b = 1.5 correspond to minimum values of nonlinear distortions.

  7. 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. 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. 9.

    The circuit based on elements S1, S2, K1, K2, C3 and C4 are often called the strobe detector.

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  1. National Research Tomsk Polytechnic University, Tomsk, Russia

    Yuriy K. Rybin

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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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  • DOI: https://doi.org/10.1007/978-3-319-02833-0_6

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