Normalized equations of the regenerative oscillator—Noise, phase-locking, and pulling

Abstract

A regenerative oscillator is considered to be a dissipative tank circuit to which is added a regenerative element in the form of a negative resistance the value of which depends upon the square of the circuit voltage delayed by an RC filter. Use of the phasor concept and normalization of all parameters lead to relatively simple nonlinear equations. They are studied analytically and by means of an electronic computer for the three cases of 1) the free running oscillator 2) the noise perturbed oscillator, and 3) the continuous wave perturbed oscillator.