1/f noise synthesis model in discrete-time for circuit simulation

Abstract

Flicker noise, popularly known as 1 noise is a commonly observed phenomenon in semiconductor devices. To incorporate 1 noise in circuit simulations, models are required to synthesize such noise in discrete time. This paper proposes a model based on the fact that 1 processes belong to the class of statistically self-similar random processes. The model generates 1 noise in the time domain (TD) with a simple white noise input and is parameterized by a quantity whose value can be adjusted to reflect the desired 1 parameter, that is, the slope of the 1 spectrum. It thus differs from most of the earlier modeling approaches, which were confined to the spectral domain. To verify fit between the model and actual 1 noise measurements, experiments were conducted using discrete devices such as a PIN photodiode at various bias conditions and sampling frequencies. The noise synthesized by the model was found to provide a good match to the measurements. Furthermore, it is demonstrated that the proposed 1 noise model can also be incorporated in circuit simulations as a noise current or noise voltage source, which was not feasible earlier with the conventional spectral domain representation. To validate the inclusion of 1 noise in circuits as TD current or voltage, simulations were carried out on a CMOS ring oscillator and the clock jitter due to 1 noise was investigated.

Effect of Carouseling on Angular Rate Sensor Error Processes

“…Note that the carouseling period T does not appear explicitly in (15) and (18). However, as long as the sensor sampling rate is constant, the carouseling period T is proportional to the Fig.…”

Time domain phase noise synthesis for system simulation

“…To incorporate phase noise in system simulation, a welldefined time-domain parametric model in terms of a transfer function or impulse response is required [4]. Several previous studies [5]- [7] have proposed techniques for modeling and generating the sequences of l/fa noise.…”

“…Section II presents the basic illustration of power law noise and phase noise behavior. Section III provides a summarization of IIR and FIR filtering method in [4] for I/f noise generation and the low-pass filters structure in [5] for 1/f noise generation. The two approaches are discussed and compared in terms of relative error and corresponding running time.…”