Redundant complex number arithmetic for high-speed signal processing

Takafumi Aoki, Yuji Ohi, Tatsuo Higuchi

Research output: Contribution to conferencePaperpeer-review

14 Citations (Scopus)

Abstract

This paper presents a new complex number representation called the Redundant Complex Number System (RCNS) as a useful basis for designing VLSI signal processors with complex arithmetic capability. RCNS described in this paper is defined as a positional number system that has a complex radix 2j and a digit set {-3, ..., 0, ..., 3} or {-2, ..., 0, ..., 2}. The use of complex radix 2j with the redundant digit set makes possible to construct high-speed complex number arithmetic circuits with highly regular structures. This paper discusses the elementary arithmetic algorithms of RCNS and their implementations.

Original languageEnglish
Pages523-532
Number of pages10
Publication statusPublished - 1995 Dec 1
EventProceedings of the 1995 IEEE Workshop on VLSI Signal Processing - Osaka, Jpn
Duration: 1995 Oct 161995 Oct 18

Other

OtherProceedings of the 1995 IEEE Workshop on VLSI Signal Processing
CityOsaka, Jpn
Period95/10/1695/10/18

ASJC Scopus subject areas

  • Signal Processing

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