Efficient transient noise analysis of non‐periodic mixed analogue/digital circuits. Issue 2 (1st March 2015)

• Record Type: Journal Article
• Authors: Biggio, Matteo; Bizzarri, Federico; Brambilla, Angelo; Storace, Marco
• Is Part Of: IET circuits, devices & systems. Volume 9:Issue 2(2015)
• Page Start: 73
• Page End: 80
• Publication Date: 2015-03-01
• Subjects: mixed analogue-digital integrated circuits -- sigma-delta modulation -- phase locked loops -- circuit noise -- Monte Carlo methods -- stochastic processes; nonperiodic mixed analogue-digital circuits -- time-domain noise simulation -- fractional ΔΣ phase-locked loops -- PLL -- saltation matrix -- power spectral density -- Thomson multitaper method -- MTM -- stochastic variational model -- nonMonte Carlo transient noise analysis; Electronic circuits -- Periodicals; Electronic systems -- Periodicals; 621.381505
• DOI: 10.1049/iet-cds.2013.0438
• Languages: English
• ISSNs: 1751-858X

Abstract

Abstract : This paper proposes a numerical method for accurate time‐domain noise simulation of mixed analogue/digital electrical circuits that in principle do not admit a periodic steady‐state working condition, such as fractional ΔΣ phase‐locked loops (PLLs). By means of a tool known as saltation matrix, which allows dealing with non‐smooth vector fields, a variational approach is adopted. The power spectral density of a noisy electrical variable is computed by applying the Thomson's multitaper method (MTM) to the numerical solution of the stochastic variational model of the circuit. This allows to resort to a single transient simulation run, thus avoiding cpu time consuming Monte‐Carlo‐like approaches. The effectiveness of the proposed method is shown by comparing simulation results related to a commercial fractional ΔΣ PLL with experimental data.