Method and apparatus for forming convolutions of two complex number sequences using the fermat number transform

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United States of America Patent

PATENT NO 4181968
SERIAL NO

05915418

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Abstract

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A digital computing method and apparatus for complex numbers which, more particularly, comprises a technique and hardware for forming the complex linear vector product of two transformed sequences. The invention is designed for use in a computer system wherein all arithmetic is performed modulo a number of the form 2.sup.b +1 and, in essence, consists of replacing complex numbers of the form A+jB by numbers of the form A.+-.2.sup.b/2 B, after which products, sums and differences are computed to yield the desired result.

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Patent Owner(s)

  • THE UNITED STATES OF AMERICA AS REPRESENTED BY THE SECRETARY OF THE ARMY

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Johnson, Richard N Adelphi, MD 24 553

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