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.

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