Averaging Techniques for the Analysis of Event Driven Models of All Digital PLLs

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Title: Averaging Techniques for the Analysis of Event Driven Models of All Digital PLLs
Authors: Koskin, Eugene
Galayko, Dimitri
Blokhina, Elena
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 modelModulationClocksPhase locked loopsJitterStability analysisFrequency 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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