Numerical noise analysis for nonlinear circuits with a periodic large signal excitation including cyclostationary noise sources

Periodic AC and Periodic Noise in RF Simulation for Electronic Circuit Design

“…For the general case, we find that Yn and X n have expansions of the form (see also [20,21]) (3.9) (3.10)…”

“…can be done to obtain more information about the circuit. Similarly, based on the PSS solution several other simulations can be done like periodic AC, periodic noise, etc., [1,19,20,21,22]. In view of the RF circuit and signal characteristics, the PSS solution determines the non-linear behaviour of the circuit while the periodic AC, etc.…”

“…This assumption is in general not a severe limitation when simulating noise in RF circuits. In [20,21] one considers the integration of (3.3) in which case the factor {3 easilyallows adaptive re-usage of linear algebra used for solving the PSS problem (see also [2]). However, the integration of (3.8) gives rise to even more elegant algorithms.…”

Modelling and Discretization of Circuit Problems

“…In [179,231] one considers the integration of (20.3) in which case the factor β easily allows adaptive re-usage of linear algebra used for solving the PSS-problem (see also [14,15]). However, the integration of (20.8) also gives rise to elegant algorithms.…”

Oscillator-AC: restoring rigour to linearized small-signal analysis of oscillators

“…AC analyses are a staple for analog designers, who apply it to circuits such as amplifiers, first linearizing the nonlinear circuits about a DC operating point. The concept of AC analysis has also been profitably extended to nonlinear circuits operating in large-signal periodic steady-state, such as mixers and switched-capacitor filters (e.g., [4]- [7]). This linear periodic time-varying (LPTV) AC analysis can capture important aspects of periodically-driven circuits, such as frequency translation and sampling.…”