Open AccessEfficient transient noise analysis of non‐periodic mixed analogue/digital circuits
Author(s) -
Biggio Matteo,
Bizzarri Federico,
Brambilla Angelo,
Storace Marco
Publication year - 2015
Publication title -
iet circuits, devices and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 49
eISSN - 1751-8598
pISSN - 1751-858X
DOI - 10.1049/iet-cds.2013.0438
Subject(s) - transient (computer programming) , multitaper , electronic circuit , computer science , noise (video) , phase noise , monte carlo method , phase locked loop , electronic engineering , time domain , spectral density , control theory (sociology) , algorithm , mathematics , engineering , electrical engineering , telecommunications , statistics , control (management) , computer vision , artificial intelligence , image (mathematics) , operating system
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.