When the frequency of a small amplitude plane wave is varied slowly over a large enough bandwidth and this wave is incident upon a nonlinear oscillator, the resulting perturbed motion can exhibit stochastic behavior. Applications for the study of this system are wide and varied. We apply Lie-transf
Amplitude variations in a frequency-modulated oscillator
โ Scribed by W.J. Cunningham
- Publisher
- Elsevier Science
- Year
- 1953
- Tongue
- English
- Weight
- 639 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
Frequency modulation of a vacuum-tube oscillator often is accomplished by causing the capacitance in the circuit to vary in accordance with a modulating signal. Because of the way in which the amplitude of the alternating voltage generated by the oscillator is controlled, variation of the capacitance introduces simultaneous amplitude modulation of this voltage. The nature and amount of amplitude modulation depend upon the interrelation of several parameters of the oscillating system. An analysis is presented for this type of modulation. Limitations inherent in the analysis include maximum values for the magnitude of the change in capacitance and for the time rate of this change. Elements of the oscillator are assumed to be chosen so that the generated voltage is nearly sinusoidal. These assumptions usually apply in practice.
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