Redundant complex arithmetic and its application to complex multiplier design

Takafumi Aoki, Ken ichi Hoshi, Tatsuo Higuchi

Research output: Contribution to journalConference articlepeer-review

5 Citations (Scopus)

Abstract

This paper presents a class of complex number representations called Redundant Complex Number Systems (RCNSs), which are useful for designing VLSI signal processors with complex arithmetic capability. A redundant complex number system is defined as an imaginary-radix number system having a redundant integer digit set. This makes possible the construction of high-speed complex arithmetic circuits: examples include a complex-number parallel adder with no carry propagation chain, and a complex-number multiplier using fast binary-tree addition structure. This paper also presents the experimental fabrication of the RCNS-based complex multiplier in 0.5 μm CMOS technology.

Original languageEnglish
Pages (from-to)200-207
Number of pages8
JournalProceedings of The International Symposium on Multiple-Valued Logic
Publication statusPublished - 1999 Jan 1
EventProceedings of the 1999 29th International Symposium on Multiple-Valued Logic (ISMVL-99) - Freiburg im Breisgau, Ger
Duration: 1999 May 201999 May 22

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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