Limit cycles in state-space pipelined Scattered look-ahead filters

Kyunghi Chang; William G. Bliss

doi:10.1109/MWSCAS.1992.271172

Limit cycles in state-space pipelined Scattered look-ahead filters

Kyunghi Chang, William G. Bliss

Texas A&M University

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

3 Scopus citations

Abstract

Limit cycles of various pipelined Scattered Look Ahead (SLA) filters are analyzed. Regions free of overflow limit cycles using Two's Complement Arithmetic (TCA) are obtained in both parameter space and in the z-domain for SLA filters. Results for zero-input quantization limit cycle stability using Two's Complement Truncation (TCT) and Rounding (R) are extended to Direct Form (DF) SLA filters. Combining these results, the region of global asymptotic stability from zero-input limit cycles of DF SLA filters is found. In consequence, the DF SLA structure is proved to have merits implementing high Q filters except at certain regions near the unit circle, where the structure is highly susceptible to Roundoff Noise (RON) and Coefficient Quantization Noise (CQN). DF and Minimum Roundoff Noise (MRON) based structures are compared for the purpose of reducing complexity or improving numerical performance.

Original language	English
Title of host publication	1992 Proceedings of the 35th Midwest Symposium on Circuits and Systems
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1128-1131
Number of pages	4
ISBN (Electronic)	0780305108
DOIs	https://doi.org/10.1109/MWSCAS.1992.271172
State	Published - 1992
Externally published	Yes
Event	35th Midwest Symposium on Circuits and Systems, MWSCAS 1992 - Washington, United States Duration: 9 Aug 1992 → 12 Aug 1992

Publication series

Name	Midwest Symposium on Circuits and Systems
Volume	1992-August
ISSN (Print)	1548-3746

Conference

Conference	35th Midwest Symposium on Circuits and Systems, MWSCAS 1992
Country/Territory	United States
City	Washington
Period	9/08/92 → 12/08/92

Bibliographical note

Publisher Copyright:
© 1992 IEEE.

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10.1109/MWSCAS.1992.271172

Cite this

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title = "Limit cycles in state-space pipelined Scattered look-ahead filters",

abstract = "Limit cycles of various pipelined Scattered Look Ahead (SLA) filters are analyzed. Regions free of overflow limit cycles using Two's Complement Arithmetic (TCA) are obtained in both parameter space and in the z-domain for SLA filters. Results for zero-input quantization limit cycle stability using Two's Complement Truncation (TCT) and Rounding (R) are extended to Direct Form (DF) SLA filters. Combining these results, the region of global asymptotic stability from zero-input limit cycles of DF SLA filters is found. In consequence, the DF SLA structure is proved to have merits implementing high Q filters except at certain regions near the unit circle, where the structure is highly susceptible to Roundoff Noise (RON) and Coefficient Quantization Noise (CQN). DF and Minimum Roundoff Noise (MRON) based structures are compared for the purpose of reducing complexity or improving numerical performance.",

author = "Kyunghi Chang and Bliss, {William G.}",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 35th Midwest Symposium on Circuits and Systems, MWSCAS 1992 ; Conference date: 09-08-1992 Through 12-08-1992",

year = "1992",

doi = "10.1109/MWSCAS.1992.271172",

language = "English",

series = "Midwest Symposium on Circuits and Systems",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1128--1131",

booktitle = "1992 Proceedings of the 35th Midwest Symposium on Circuits and Systems",

address = "United States",

}

Chang, K & Bliss, WG 1992, Limit cycles in state-space pipelined Scattered look-ahead filters. in 1992 Proceedings of the 35th Midwest Symposium on Circuits and Systems., 271172, Midwest Symposium on Circuits and Systems, vol. 1992-August, Institute of Electrical and Electronics Engineers Inc., pp. 1128-1131, 35th Midwest Symposium on Circuits and Systems, MWSCAS 1992, Washington, United States, 9/08/92. https://doi.org/10.1109/MWSCAS.1992.271172

Limit cycles in state-space pipelined Scattered look-ahead filters. / Chang, Kyunghi; Bliss, William G.
1992 Proceedings of the 35th Midwest Symposium on Circuits and Systems. Institute of Electrical and Electronics Engineers Inc., 1992. p. 1128-1131 271172 (Midwest Symposium on Circuits and Systems; Vol. 1992-August).

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

TY - GEN

T1 - Limit cycles in state-space pipelined Scattered look-ahead filters

AU - Chang, Kyunghi

AU - Bliss, William G.

PY - 1992

Y1 - 1992

N2 - Limit cycles of various pipelined Scattered Look Ahead (SLA) filters are analyzed. Regions free of overflow limit cycles using Two's Complement Arithmetic (TCA) are obtained in both parameter space and in the z-domain for SLA filters. Results for zero-input quantization limit cycle stability using Two's Complement Truncation (TCT) and Rounding (R) are extended to Direct Form (DF) SLA filters. Combining these results, the region of global asymptotic stability from zero-input limit cycles of DF SLA filters is found. In consequence, the DF SLA structure is proved to have merits implementing high Q filters except at certain regions near the unit circle, where the structure is highly susceptible to Roundoff Noise (RON) and Coefficient Quantization Noise (CQN). DF and Minimum Roundoff Noise (MRON) based structures are compared for the purpose of reducing complexity or improving numerical performance.

AB - Limit cycles of various pipelined Scattered Look Ahead (SLA) filters are analyzed. Regions free of overflow limit cycles using Two's Complement Arithmetic (TCA) are obtained in both parameter space and in the z-domain for SLA filters. Results for zero-input quantization limit cycle stability using Two's Complement Truncation (TCT) and Rounding (R) are extended to Direct Form (DF) SLA filters. Combining these results, the region of global asymptotic stability from zero-input limit cycles of DF SLA filters is found. In consequence, the DF SLA structure is proved to have merits implementing high Q filters except at certain regions near the unit circle, where the structure is highly susceptible to Roundoff Noise (RON) and Coefficient Quantization Noise (CQN). DF and Minimum Roundoff Noise (MRON) based structures are compared for the purpose of reducing complexity or improving numerical performance.

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M3 - Conference contribution

AN - SCOPUS:84944023290

T3 - Midwest Symposium on Circuits and Systems

SP - 1128

EP - 1131

BT - 1992 Proceedings of the 35th Midwest Symposium on Circuits and Systems

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 35th Midwest Symposium on Circuits and Systems, MWSCAS 1992

Y2 - 9 August 1992 through 12 August 1992

ER -

Limit cycles in state-space pipelined Scattered look-ahead filters

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