Book Description

"Noise analysis is a necessary but often lengthy part of the design process for microelectronics. Frequency domain noise analysis methods are ill-suited for simulating noise in nonlinear circuits with arbitrary large-signal waveforms, while time domain noise analysis methods typically suffer from long simulation times. A novel parallel non-Monte Carlo transient noise analysis method for general nonlinear analysis is presented. Non-Monte Carlo based transient noise methods avoid expensive and lengthy Monte Carlo iterations by describing the nonlinear system with a linear time-varying system that can be used to calculate the variance of the waveform at every time point. However, the main bottleneck in these methods is that the linear time-varying system is computationally expensive to solve when the circuit is large. To address this issue, the proposed method decouples the linear time-varying system into homogeneous and inhomogeneous systems that can be solved independently. The inhomogeneous system is solved in parallel by partitioning the time interval into independent subintervals, while the complexity of the homogeneous system can be decreased significantly due to the linearity of the equations"--