{"title":"Analysis and design of an array of two differential oscillators coupled through a resistive network","authors":"M. Ionita, D. Cordeau, J. Paillot, M. Iordache","doi":"10.1109/ECCTD.2011.6043612","DOIUrl":null,"url":null,"abstract":"This paper considers the analysis and the design of an array of two NMOS differential oscillators coupled through a resistor. A new writing of the nonlinear equations proposed by R. York to describe the oscillators' locked states but limited for the specific case of a resistive coupling is presented. The new system permits the calculation of the free-running frequencies of the oscillators when a specific phase shift is desired. This has led to the modeling of the two coupled NMOS differential oscillators as two coupled differential Van der Pol oscillators, with a resistive coupling network. A good agreement between the circuit, the model and the theory was found, giving some design considerations for a network of two differential oscillators coupled through one resistor.","PeriodicalId":126960,"journal":{"name":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","volume":"209 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECCTD.2011.6043612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
This paper considers the analysis and the design of an array of two NMOS differential oscillators coupled through a resistor. A new writing of the nonlinear equations proposed by R. York to describe the oscillators' locked states but limited for the specific case of a resistive coupling is presented. The new system permits the calculation of the free-running frequencies of the oscillators when a specific phase shift is desired. This has led to the modeling of the two coupled NMOS differential oscillators as two coupled differential Van der Pol oscillators, with a resistive coupling network. A good agreement between the circuit, the model and the theory was found, giving some design considerations for a network of two differential oscillators coupled through one resistor.
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