Abstract
The models of measuring signals suitable for reproduction in generators are identified in Chapter 2. The next design stage is to synthesize a block diagram (structure) of a source, i.e. to identify main units involved in generating such signals and substantial relationships between them. The need to develop block diagrams is associated, on the one hand, with the demand for formal design procedures and, on the other hand, with the demand for sources of measuring signals with a specified spectrum, totals harmonic distortion, and other parameters. This need is also driven by the wide distribution of virtual measuring systems, in which different measurement units, including signal oscillators, are simulated. The virtual oscillator models representing properties of real devices are required in order that results from modeling a measurement process based on generators are close to experimental results.
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- 1.
Hereinafter, for the sake of simplicity AEs can be conditionally divided into ones having potential input and output, and ones having current input and output.
- 2.
The alternation of circuit terminals can be useful for implementation of OS. For example, by rotating the circuit, we can obtain couplings with “grounded” terminals of circuit capacitances, while the alternation of AE terminals may make it necessary to use the suspended power supply source, which is not always acceptable.
- 3.
The case with the absence of the admittance G 2 will be considered below for analyzing OS based on bidirectional AEs.
- 4.
See Beletskiy [19] for more detailed information on reciprocally reversible circuits.
- 5.
It is practically unfeasible to represent transfer functions as a sum of three or more fractional rational function since this complicates a circuit itself and an adder.
- 6.
The outputs of the electrical circuit are meant to be any of its nodes, including input and output ones.
- 7.
See Chap. 4 for the fulfillment of the phase and amplitude balance.
- 8.
When calculating the difference of arguments, we should keep in mind their principal values.
- 9.
The length of the second segment does not exceed π since it depends on a relation between the coefficients of polynomial in the numerator. If b 1 becomes zero, the second line coincides with the third one; if b 2 becomes zero, the second line changes to the fifth one.
- 10.
Recall that only passive RC circuits are considered here.
- 11.
This definition refers only to such transfer functions that do not have equal zeros and poles.
- 12.
The output circuit is used as a source signal, while the input circuit of AE of the oscillating system – as a load.
- 13.
The total number of such graphs is equal to a number of transpositions from seven branches grouped by two ones (input and output of AE). Taking into account the alternation of the common node, it increases by four times.
- 14.
Pay your attention to the indices of the initial phases. They show that the initial phases are equal.
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Rybin, Y.K. (2014). Synthesis of Block Diagrams of Measuring Signal Generators. In: Measuring Signal Generators. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-02833-0_5
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