Stability predictions for high-order ΣΔ modulators based on quasilinear modeling

Lars Risbo

doi:10.1109/ISCAS.1994.409382

Stability predictions for high-order ΣΔ modulators based on quasilinear modeling

Lars Risbo

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

This paper introduces a novel interpretation of the instability mechanisms in high-order one-bit Sigma-Delta modulators. Furthermore, it is demonstrated how the maximum stable amplitude range can be predicted very well. The results are obtained using an extension of the well known quasilinear modeling of the one-bit quantizer. The theoretical results are verified by numerical simulations of a number of realistic 4th order modulators designed by means of standard filter design tools. The results are useful for automated design and optimization of loop filters

Original language	English
Title of host publication	Proceedings of the IEEE International Symposium on Circuits and Systems
Volume	Volume 5
Publisher	IEEE
Publication date	1994
Pages	361-364
ISBN (Print)	07-80-31915-X
DOIs	https://doi.org/10.1109/ISCAS.1994.409382
Publication status	Published - 1994
Event	1994 IEEE International Symposium on Circuits and Systems - London, United Kingdom Duration: 30 May 1994 → 2 Jun 1994 http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=3224

Conference

Conference	1994 IEEE International Symposium on Circuits and Systems
Country/Territory	United Kingdom
City	London
Period	30/05/1994 → 02/06/1994
Internet address	http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=3224

Bibliographical note

Copyright: 1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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title = "Stability predictions for high-order ΣΔ modulators based on quasilinear modeling",

abstract = "This paper introduces a novel interpretation of the instability mechanisms in high-order one-bit Sigma-Delta modulators. Furthermore, it is demonstrated how the maximum stable amplitude range can be predicted very well. The results are obtained using an extension of the well known quasilinear modeling of the one-bit quantizer. The theoretical results are verified by numerical simulations of a number of realistic 4th order modulators designed by means of standard filter design tools. The results are useful for automated design and optimization of loop filters",

author = "Lars Risbo",

note = "Copyright: 1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 1994 IEEE International Symposium on Circuits and Systems, ISCAS '94 ; Conference date: 30-05-1994 Through 02-06-1994",

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N1 - Copyright: 1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

PY - 1994

Y1 - 1994

N2 - This paper introduces a novel interpretation of the instability mechanisms in high-order one-bit Sigma-Delta modulators. Furthermore, it is demonstrated how the maximum stable amplitude range can be predicted very well. The results are obtained using an extension of the well known quasilinear modeling of the one-bit quantizer. The theoretical results are verified by numerical simulations of a number of realistic 4th order modulators designed by means of standard filter design tools. The results are useful for automated design and optimization of loop filters

AB - This paper introduces a novel interpretation of the instability mechanisms in high-order one-bit Sigma-Delta modulators. Furthermore, it is demonstrated how the maximum stable amplitude range can be predicted very well. The results are obtained using an extension of the well known quasilinear modeling of the one-bit quantizer. The theoretical results are verified by numerical simulations of a number of realistic 4th order modulators designed by means of standard filter design tools. The results are useful for automated design and optimization of loop filters

U2 - 10.1109/ISCAS.1994.409382

DO - 10.1109/ISCAS.1994.409382

M3 - Article in proceedings

SN - 07-80-31915-X

VL - Volume 5

SP - 361

EP - 364

BT - Proceedings of the IEEE International Symposium on Circuits and Systems

PB - IEEE

T2 - 1994 IEEE International Symposium on Circuits and Systems

Y2 - 30 May 1994 through 2 June 1994

ER -

Stability predictions for high-order ΣΔ modulators based on quasilinear modeling

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