Averaging Techniques for the Analysis of Event Driven Models of All Digital PLLs
|Title:||Averaging Techniques for the Analysis of Event Driven Models of All Digital PLLs||Authors:||Koskin, Eugene
|Permanent link:||http://hdl.handle.net/10197/9688||Date:||30-May-2018||Online since:||2019-03-26T11:26:17Z||Abstract:||In this paper, we introduce a statistical approach for studying a special class of nonlinear dynamical systems such as ADPLLs and ADPLL networks, where the process driving the adjustment of the DCO frequency can be seen as ΣΔ modulation. We showed that, by applying the Frobenius-Perron operator to the governing equation, it is possible to find the invariant probability density which is valid for dynamically changing input of ΣΔ modulator. By using this, we show that the average behaviour of the corresponding complex system can be dramatically simplified and studied analytically.||Type of material:||Conference Publication||Publisher:||IEEE||Copyright (published version):||2018 IEEE||Keywords:||Mathematical model; Modulation; Clocks; Phase locked loops; Jitter; Stability analysis; Frequency control||DOI:||10.1109/ISCAS.2018.8351426||Other versions:||http://www.iscas2018.org/||Language:||en||Status of Item:||Peer reviewed||Conference Details:||The 2018 IEEE International Symposium on Circuits and Systems (ISCAS), Florence, Italy, 27-30 May 2018||ISBN:||9781538648810|
|Appears in Collections:||Electrical and Electronic Engineering Research Collection|
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