Synthesis and classification of LC oscillators

A systematic synthesis procedure is given for realizing a class of oscillators. An oscillator basically consists of an amplifier and a passive network N in its feedback path. When gain A of the amplifier is negative real one additional buffer amplifier is required. It is shown that if OA-based amplifier is used for realizing A, the synthesized oscillators are such that their performance is not influenced by the input and output impedances of the OA. In all we have first derived a set of 6 oscillators when N is a π-network and then another set of 6 oscillators, when N is a T-network, is obtained by L-C transformation. Within these 12 of oscillators, some can be derived from some other by network transformations. Finally classification of the derived oscillators based on various factors is given.