Stable boundaries of a third-order sigma-delta modulator

J. Zhang; P. V. Brennan; D. Jiang; E. Vinogradova; P. D. Smith

doi:10.1109/SSMSD.2003.1190438

Stable boundaries of a third-order sigma-delta modulator

J. Zhang, P. V. Brennan, D. Jiang, E. Vinogradova, P. D. Smith

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

10 Citations (Scopus)

Abstract

This paper studies the stable boundary of a type of third-order one-bit sigma-delta modulator (ΣΔM) using an extended describing function method in which both the amplitude and phase shift of a sampled quantiser are modelled. By determination of the maximum DC input for the feedback coefficients of the sigma-delta modulator, the performance of the system can be optimised for stable modulator operation. This approach is potentially useful in the design and stability analysis of higher-order ΣΔMs.

Original language	English
Title of host publication	2003 Southwest Symposium on Mixed-Signal Design, SSMSD 2003
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	259-262
Number of pages	4
ISBN (Electronic)	0780377788, 9780780377783
DOIs	https://doi.org/10.1109/SSMSD.2003.1190438
Publication status	Published - Feb 2003
Externally published	Yes
Event	2003 Southwest Symposium on Mixed-Signal Design, SSMSD - 2003 - Las Vegas, United States Duration: 23 Feb 2003 → 25 Feb 2003

Other

Other	2003 Southwest Symposium on Mixed-Signal Design, SSMSD - 2003
Country/Territory	United States
City	Las Vegas
Period	23/02/03 → 25/02/03

Keywords

Additive white noise
Delta-sigma modulation
Feedback
Frequency
Noise shaping
Predictive models
Quantization
Sampling methods
Stability analysis
Uncertainty

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10.1109/SSMSD.2003.1190438

Cite this

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title = "Stable boundaries of a third-order sigma-delta modulator",

abstract = "This paper studies the stable boundary of a type of third-order one-bit sigma-delta modulator (ΣΔM) using an extended describing function method in which both the amplitude and phase shift of a sampled quantiser are modelled. By determination of the maximum DC input for the feedback coefficients of the sigma-delta modulator, the performance of the system can be optimised for stable modulator operation. This approach is potentially useful in the design and stability analysis of higher-order ΣΔMs.",

keywords = "Additive white noise, Delta-sigma modulation, Feedback, Frequency, Noise shaping, Predictive models, Quantization, Sampling methods, Stability analysis, Uncertainty",

author = "J. Zhang and Brennan, {P. V.} and D. Jiang and E. Vinogradova and Smith, {P. D.}",

year = "2003",

month = feb,

doi = "10.1109/SSMSD.2003.1190438",

language = "English",

pages = "259--262",

booktitle = "2003 Southwest Symposium on Mixed-Signal Design, SSMSD 2003",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "2003 Southwest Symposium on Mixed-Signal Design, SSMSD - 2003 ; Conference date: 23-02-2003 Through 25-02-2003",

}

Zhang, J, Brennan, PV, Jiang, D, Vinogradova, E & Smith, PD 2003, Stable boundaries of a third-order sigma-delta modulator. in 2003 Southwest Symposium on Mixed-Signal Design, SSMSD 2003., 1190438, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 259-262, 2003 Southwest Symposium on Mixed-Signal Design, SSMSD - 2003, Las Vegas, Nevada, United States, 23/02/03. https://doi.org/10.1109/SSMSD.2003.1190438

Stable boundaries of a third-order sigma-delta modulator. / Zhang, J.; Brennan, P. V.; Jiang, D. et al.
2003 Southwest Symposium on Mixed-Signal Design, SSMSD 2003. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2003. p. 259-262 1190438.

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

TY - GEN

T1 - Stable boundaries of a third-order sigma-delta modulator

AU - Zhang, J.

AU - Brennan, P. V.

AU - Jiang, D.

AU - Vinogradova, E.

AU - Smith, P. D.

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N2 - This paper studies the stable boundary of a type of third-order one-bit sigma-delta modulator (ΣΔM) using an extended describing function method in which both the amplitude and phase shift of a sampled quantiser are modelled. By determination of the maximum DC input for the feedback coefficients of the sigma-delta modulator, the performance of the system can be optimised for stable modulator operation. This approach is potentially useful in the design and stability analysis of higher-order ΣΔMs.

AB - This paper studies the stable boundary of a type of third-order one-bit sigma-delta modulator (ΣΔM) using an extended describing function method in which both the amplitude and phase shift of a sampled quantiser are modelled. By determination of the maximum DC input for the feedback coefficients of the sigma-delta modulator, the performance of the system can be optimised for stable modulator operation. This approach is potentially useful in the design and stability analysis of higher-order ΣΔMs.

KW - Additive white noise

KW - Delta-sigma modulation

KW - Feedback

KW - Frequency

KW - Noise shaping

KW - Predictive models

KW - Quantization

KW - Sampling methods

KW - Stability analysis

KW - Uncertainty

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DO - 10.1109/SSMSD.2003.1190438

M3 - Conference proceeding contribution

AN - SCOPUS:84942509394

SP - 259

EP - 262

BT - 2003 Southwest Symposium on Mixed-Signal Design, SSMSD 2003

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 2003 Southwest Symposium on Mixed-Signal Design, SSMSD - 2003

Y2 - 23 February 2003 through 25 February 2003

ER -

Stable boundaries of a third-order sigma-delta modulator

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