{"title":"Stability Analysis Of A Third-Order Digital Sigma-Delta Modulator","authors":"A. Sadik, Z. M. Hussain, X. Yu","doi":"10.1109/APCC.2006.255855","DOIUrl":null,"url":null,"abstract":"The stability of a high-order sigma-delta modulator has been addressed under dc input. A new approach for stability analysis is proposed. A nonlinear circle map is suggested to model the dynamics of the modulator. The stability problem is handled using an analogy between the dynamics of the sigma-delta modulator and the sinusoidal digital phase-locked loop (DPLL). An approximate fixed point solution is presented and stability criteria are derived","PeriodicalId":205758,"journal":{"name":"2006 Asia-Pacific Conference on Communications","volume":"460 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 Asia-Pacific Conference on Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APCC.2006.255855","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The stability of a high-order sigma-delta modulator has been addressed under dc input. A new approach for stability analysis is proposed. A nonlinear circle map is suggested to model the dynamics of the modulator. The stability problem is handled using an analogy between the dynamics of the sigma-delta modulator and the sinusoidal digital phase-locked loop (DPLL). An approximate fixed point solution is presented and stability criteria are derived
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