Simulation techniques of non-linear circuit dynamic behaviour

This paper presents analysis methods of non-linear circuits. These simulators must be capable to predict the non-linear behaviour of complex circuits such as frequency analog dividers and injection locked oscillators. Based on the harmonic balance technique, this paper presents two extensions of this method. It provides complete information on the non-linear behaviour of the device. In particular synchronization bandwidths as well as power ranges for which the circuit can be synchronized are obtained from the stability loci drawn in the parameter space. Second, a noise analysis based on the frequency conversion technique is discussed. This analysis relies upon a description of linear or- non-linear noise generators by means of correlation matrices and of circuit non-linearities by their conversion matrices. Two circuits examples are given to illustrate the gi eat interest of these simulators.