Signed-weight arithmetic and its application to a field-programmable digital filter architecture

Takafumi Aoki, Yoshiki Sawada, Tatsuo Higuchi

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


This paper presents a new number representation called the Signed-Weight (SW) number system, which is useful for designing configurable counter-tree architectures for digital signal processing applications. The SW number system allows the unified manipulation of positive and negative numbers in arithmetic circuits by adjusting the signs assigned to individual digit positions. This makes possible the construction of highly regular arithmetic circuits without introducing irregular arithmetic operations, such as negation and sign extension in the two's complement representation. This paper also presents the design of a Field-Programmable Digital Filter (FPDF) architecture - A special-purpose FPGA architecture for high-speed FIR filtering - using the proposed SW arithmetic system.

Original languageEnglish
Pages (from-to)1687-1696
Number of pages10
JournalIEICE Transactions on Electronics
Issue number9
Publication statusPublished - 1999


  • Computer arithmetic
  • Digital signal processing
  • FIR filters
  • FPGAs
  • Redundant number systems


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