Linear frequency networks with applications to 'frequency set-on' oscillators

A linear frequency network is a network system which consists of an arbitrary connection of devices, each of which perform a linear transformation on the instantaneous frequency of a signal. Thus, a transfer function may be defined relating the output to input instantaneous frequency. Particular networks are investigated, including a basic section, producing a self-adaptive bandpass filter which is then applied to a frequency set-on oscillator. Such an oscillator is a multimode oscillator where any mode will be stable when excited by a sample of an RF pulse adjacent to the mode. Experimental devices in the 400-600-MHz band are shown to have excellent agreement with theory.<>