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Redundant complex arithmetic and its application to complex multiplier design

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3 Author(s)
T. Aoki ; Graduate Sch. of Inf. Sci., Tohoku Univ., Sendai, Japan ; K. Hoshi ; T. Higuchi

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

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Multiple-Valued Logic, 1999. Proceedings. 1999 29th IEEE International Symposium on

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