{"title":"Systematic design of stable high-order delta sigma modulators using genetic algorithm","authors":"Ali Naderi Saatlo","doi":"10.1007/s10470-023-02195-3","DOIUrl":null,"url":null,"abstract":"<div><p>Instability is a design challenge with high-order delta-sigma modulator (DSM). DSM stability shows maximum stable amplitude (MSA) where it achieves adequate precision across the bandwidth. Increasing DSM order reduces the stable amplitude range. In addition, the design of an efficient noise transfer function (NTF) is necessary for the synthesis of a DSM. In this brief, a systematic method to design stable high-order DSM without the need for a stability-recovery mechanism is presented. The proposed design method can be used for high-order single-bit and multi-bit DSM with maximum stability. To achieve maximum DSM amplitude stability, systematic simulation is used to design coefficients and obtain SNR values at different points of bandwidth. Actual SNR values will ensure that the genetic algorithm will search and find optimum stability coefficients, the most important feature of the proposed method. The design method is implemented for two DSMs with different specifications and the results are compared with similar studies, showing that the proposed method has acceptable performance.</p></div>","PeriodicalId":7827,"journal":{"name":"Analog Integrated Circuits and Signal Processing","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2023-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analog Integrated Circuits and Signal Processing","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10470-023-02195-3","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, HARDWARE & ARCHITECTURE","Score":null,"Total":0}
引用次数: 0
Abstract
Instability is a design challenge with high-order delta-sigma modulator (DSM). DSM stability shows maximum stable amplitude (MSA) where it achieves adequate precision across the bandwidth. Increasing DSM order reduces the stable amplitude range. In addition, the design of an efficient noise transfer function (NTF) is necessary for the synthesis of a DSM. In this brief, a systematic method to design stable high-order DSM without the need for a stability-recovery mechanism is presented. The proposed design method can be used for high-order single-bit and multi-bit DSM with maximum stability. To achieve maximum DSM amplitude stability, systematic simulation is used to design coefficients and obtain SNR values at different points of bandwidth. Actual SNR values will ensure that the genetic algorithm will search and find optimum stability coefficients, the most important feature of the proposed method. The design method is implemented for two DSMs with different specifications and the results are compared with similar studies, showing that the proposed method has acceptable performance.
期刊介绍:
Analog Integrated Circuits and Signal Processing is an archival peer reviewed journal dedicated to the design and application of analog, radio frequency (RF), and mixed signal integrated circuits (ICs) as well as signal processing circuits and systems. It features both new research results and tutorial views and reflects the large volume of cutting-edge research activity in the worldwide field today.
A partial list of topics includes analog and mixed signal interface circuits and systems; analog and RFIC design; data converters; active-RC, switched-capacitor, and continuous-time integrated filters; mixed analog/digital VLSI systems; wireless radio transceivers; clock and data recovery circuits; and high speed optoelectronic circuits and systems.