Techniques for Residue-to-Analog Conversion for Residue-Encoded Digital Filters

W. Kenneth Jenkins

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

Recent papers have reported that the use of residue number coding in digital filters can result in better speed/cost ratios when com pared to filters designed with conventional adders and multipliers. This paper presents two approaches to the design of residue-to-analog converters to be used with residue number filters. The first approach, based on the associated mixed radix number system, is particularly useful when it is desired to translate the residue samples directly into analog form. The second approach, based on the Chinese remainder theorem, is a more direct method for translating from residue to weighted binary representation. A hardware feasibility model is described that was constructed to demonstrate the conversion principles.

Original languageEnglish (US)
Pages (from-to)555-562
Number of pages8
JournalIEEE Transactions on Circuits and Systems
Volume25
Issue number7
DOIs
StatePublished - 1978

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Numbering systems
Adders
Digital filters
Hardware
Costs

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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abstract = "Recent papers have reported that the use of residue number coding in digital filters can result in better speed/cost ratios when com pared to filters designed with conventional adders and multipliers. This paper presents two approaches to the design of residue-to-analog converters to be used with residue number filters. The first approach, based on the associated mixed radix number system, is particularly useful when it is desired to translate the residue samples directly into analog form. The second approach, based on the Chinese remainder theorem, is a more direct method for translating from residue to weighted binary representation. A hardware feasibility model is described that was constructed to demonstrate the conversion principles.",
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Techniques for Residue-to-Analog Conversion for Residue-Encoded Digital Filters. / Jenkins, W. Kenneth.

In: IEEE Transactions on Circuits and Systems, Vol. 25, No. 7, 1978, p. 555-562.

Research output: Contribution to journalArticle

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