Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition

Kyung Hi Chang; William G. Bliss

doi:10.1109/ICASSP.1992.226343

Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition

Kyung Hi Chang, William G. Bliss

Texas A&M University

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

4 Scopus citations

Abstract

Unified statistical coefficient quantization (SCQ) and round-off noise (RON) analysis for a fixed-point arithmetic model is applied to scattered look-ahead (SLA) with power-of-two decomposition filters. Assumptions under which noise power due to SCQ is the same as RON under single length accumulation are derived. Analytical results are derived for first-and second-order direct-form (DF) and minimum roundoff noise (MRON) basis filters which contradict previous claims. The application of SLA is shown to slightly increase noise for poles near z=0 and to generally decrease noise near mod z mod =1, except that the noise of DF SLA increases greatly for small regions near mod z mod =1 due to closely spaced poles.

Original language	English
Title of host publication	ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	433-436
Number of pages	4
ISBN (Electronic)	0780305329
DOIs	https://doi.org/10.1109/ICASSP.1992.226343
State	Published - 1992
Externally published	Yes
Event	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States Duration: 23 Mar 1992 → 26 Mar 1992

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	4
ISSN (Print)	1520-6149

Conference

Conference	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Country/Territory	United States
City	San Francisco
Period	23/03/92 → 26/03/92

Bibliographical note

Publisher Copyright:
© 1992 IEEE.

Access to Document

10.1109/ICASSP.1992.226343

Cite this

Chang, K. H., & Bliss, W. G. (1992). Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing (pp. 433-436). Article 226343 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 4). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.1992.226343

Chang, Kyung Hi ; Bliss, William G. / Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition. ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 433-436 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "Unified statistical coefficient quantization (SCQ) and round-off noise (RON) analysis for a fixed-point arithmetic model is applied to scattered look-ahead (SLA) with power-of-two decomposition filters. Assumptions under which noise power due to SCQ is the same as RON under single length accumulation are derived. Analytical results are derived for first-and second-order direct-form (DF) and minimum roundoff noise (MRON) basis filters which contradict previous claims. The application of SLA is shown to slightly increase noise for poles near z=0 and to generally decrease noise near mod z mod =1, except that the noise of DF SLA increases greatly for small regions near mod z mod =1 due to closely spaced poles.",

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

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 ; Conference date: 23-03-1992 Through 26-03-1992",

year = "1992",

doi = "10.1109/ICASSP.1992.226343",

language = "English",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

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Chang, KH & Bliss, WG 1992, Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition. in ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing., 226343, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 4, Institute of Electrical and Electronics Engineers Inc., pp. 433-436, 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992, San Francisco, United States, 23/03/92. https://doi.org/10.1109/ICASSP.1992.226343

Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition. / Chang, Kyung Hi; Bliss, William G.
ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc., 1992. p. 433-436 226343 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 4).

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

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AU - Chang, Kyung Hi

AU - Bliss, William G.

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N2 - Unified statistical coefficient quantization (SCQ) and round-off noise (RON) analysis for a fixed-point arithmetic model is applied to scattered look-ahead (SLA) with power-of-two decomposition filters. Assumptions under which noise power due to SCQ is the same as RON under single length accumulation are derived. Analytical results are derived for first-and second-order direct-form (DF) and minimum roundoff noise (MRON) basis filters which contradict previous claims. The application of SLA is shown to slightly increase noise for poles near z=0 and to generally decrease noise near mod z mod =1, except that the noise of DF SLA increases greatly for small regions near mod z mod =1 due to closely spaced poles.

AB - Unified statistical coefficient quantization (SCQ) and round-off noise (RON) analysis for a fixed-point arithmetic model is applied to scattered look-ahead (SLA) with power-of-two decomposition filters. Assumptions under which noise power due to SCQ is the same as RON under single length accumulation are derived. Analytical results are derived for first-and second-order direct-form (DF) and minimum roundoff noise (MRON) basis filters which contradict previous claims. The application of SLA is shown to slightly increase noise for poles near z=0 and to generally decrease noise near mod z mod =1, except that the noise of DF SLA increases greatly for small regions near mod z mod =1 due to closely spaced poles.

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BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing

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Chang KH, Bliss WG. Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc. 1992. p. 433-436. 226343. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.1992.226343

Roundoff and coefficient quantization noise of pipelined scattered look-ahead filters with decomposition

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