Two's complement quantization in periodic digital filters

Ratchaneekorn Thamvichai; Tamal Bose

doi:10.1109/TSP.2002.800408

Two's complement quantization in periodic digital filters

Ratchaneekorn Thamvichai, Tamal Bose

Research output: Contribution to journal › Article › peer-review

Abstract

The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.

Original language	English (US)
Pages (from-to)	1951-1956
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	50
Issue number	8
DOIs	https://doi.org/10.1109/TSP.2002.800408
State	Published - Aug 2002
Externally published	Yes

Keywords

Digital filter
Periodic filter
Quantization
Stability
Two's complement

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/TSP.2002.800408

Cite this

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abstract = "The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.",

keywords = "Digital filter, Periodic filter, Quantization, Stability, Two's complement",

author = "Ratchaneekorn Thamvichai and Tamal Bose",

note = "Funding Information: Manuscript received June 22, 2001; revised April 18, 2002. This work was supported in part by Raytheon Corporation, IBM, and NASA under Grants NAG5-3997 and NAG5-10716. The associate editor coordinating the review of this paper and approving it for publication was Prof. Paulo S. R. Diniz. R. Thamvichai is with the Electrical and Computer Engineering, University of Colorado, Boulder, CO 80309 USA. T. Bose is with the Electrical and Computer Engineering, Utah State University, Logan, UT 84322-4120 USA. Publisher Item Identifier 10.1109/TSP.2002.800408.",

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N2 - The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.

AB - The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.

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Two's complement quantization in periodic digital filters

Abstract

Keywords

ASJC Scopus subject areas

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