A new statistical approach for nonlinear analysis of limit cycle amplifiers

Limit cycle loops are becoming popular due to their potential for higher efficiency and linearity, as data convertors and/or amplifiers. Therefore the analysis of this architecture in different aspects is essential. In this paper a statistical orthogonalization based approach for analysis of limit cycle amplifiers, excited by a Gaussian random signal is developed and the advantages over conventional methods are discussed. The validity of the proposed approach is verified by comparison between the circuit envelope simulation and the results achieved from the proposed algorithm. Index Terms — Describing Function, Gaussian Process, Limit Cycle Amplifier, Harmonic Balance, Circuit Envelope Method.