Abstract
AbstractThe mathematical representation method of treating oscillators was first suggested by van der Pol. Many analyses of oscillators have been conducted employing this method. However, analytical models of oscillators still have some inadequacies. This paper deals with the sinusoidal output wave form of the oscillator and presents the mathematical representation of oscillator properties in a simple but very practical manner. We shall explain how the coefficients in the formulas can be determined from several of the measured points on the Rieke diagram, which is a popular form for the representation of microwave oscillator properties. We shall also give a couple of practical examples.Previously, oscillator properties have been described in graphical form due to the nonlinearity of the device, but they can be described by several numerical values when a mathematical representation is used; with the help of computers, this simplifies considerably the design of oscillator circuits.
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