The Design of Specialized Residue Classes for Efficient Recursive Digital Filter Realization

Mark H. Etzel; W. Kenneth Jenkins

doi:10.1109/TASSP.1982.1163902

The Design of Specialized Residue Classes for Efficient Recursive Digital Filter Realization

Mark H. Etzel, W. Kenneth Jenkins

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

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Abstract

The design of residue number system recursive digital filters requires scaling to prevent overflow. This paper presents special residue classes in which scaling is a simple operation that can be easily mechanized. This hierarchy of useful residue classes is described, and quantization error due to residue scaling is analyzed in each class. Computer simulations of a recursive Chebyshev band reject filter are included to illustrate filter performance in these RNS classes.

Original language	English (US)
Pages (from-to)	370-380
Number of pages	11
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	30
Issue number	3
DOIs	https://doi.org/10.1109/TASSP.1982.1163902
State	Published - Jun 1982

All Science Journal Classification (ASJC) codes

Signal Processing

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10.1109/TASSP.1982.1163902

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title = "The Design of Specialized Residue Classes for Efficient Recursive Digital Filter Realization",

abstract = "The design of residue number system recursive digital filters requires scaling to prevent overflow. This paper presents special residue classes in which scaling is a simple operation that can be easily mechanized. This hierarchy of useful residue classes is described, and quantization error due to residue scaling is analyzed in each class. Computer simulations of a recursive Chebyshev band reject filter are included to illustrate filter performance in these RNS classes.",

author = "Etzel, {Mark H.} and Jenkins, {W. Kenneth}",

year = "1982",

month = jun,

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AB - The design of residue number system recursive digital filters requires scaling to prevent overflow. This paper presents special residue classes in which scaling is a simple operation that can be easily mechanized. This hierarchy of useful residue classes is described, and quantization error due to residue scaling is analyzed in each class. Computer simulations of a recursive Chebyshev band reject filter are included to illustrate filter performance in these RNS classes.

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The Design of Specialized Residue Classes for Efficient Recursive Digital Filter Realization

Abstract

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