Title

A new implementation of complex number multiplier using RB representations

Document Type

Proceeding

Presentation Date

4-2-2004

Conference Name

Region 5 Conference: Annual Technical and Leadership Workshop, 2004

Conference Location

Norman, OK

Source of Publication

Region 5 Conference: Annual Technical and Leadership Workshop, 2004

Publisher

IEEE

Publication Date

5-24-2004

Inclusive pages

113-117

Abstract

Redundant binary (RB) representation is one of the signed-digit number systems originally introduced by Avizienis, which provides carry-propagation-free addition. Since the multiplication of two numbers is generally performed by the addition of partial products, the carry-propagation-free feature of the RB arithmetic can be used to design high-speed multipliers and multiply-and-accumulate units. Complex number arithmetic computations are one of the key arithmetic components in modern digital communication and optical systems. Complex number multiplication plays a unique role in these applications. In this paper, a new implementation of the complex-number multiplier based on a Redundant Binary (RB) representation is presented. With the proposed algorithms, the complex number multiplication is reduced to parallel RB multiplications. The implementation result on Xilinx FPGAs is presented in the paper compared to other methods. The proposed complex number multiplier is used in our proposed high-performance Complex Arithmetic Signal Processor.

Keywords

VLSI, redundant binary representation, signed-digit number systems, carry-propagation-free addition, complex number arithmetic computations, complex number multiplication, parallel multiplications, field programmable gate arrays, redundant number systems, parallel architectures, digital signal processing chips, Digital arithmetic, Optical filters, Optical computing, Digital communication, High speed optical techniques, Signal processing algorithms, Laser radar, Hardware, Delay, Optical devices

Disciplines

Engineering

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