Some aspects of scaling in an algebraic integer residue number system

Hyo-Kun Hahn; Joe C. Bradley; Edward C. Malarkey

doi:10.1117/12.20986

1 October 1990 Some aspects of scaling in an algebraic integer residue number system

Hyo-Kun Hahn, Joe C. Bradley, Edward C. Malarkey

Proceedings Volume 1291, Optical and Digital Gallium Arsenide Technologies for Signal Processing Applications; (1990) https://doi.org/10.1117/12.20986
Event: 1990 Technical Symposium on Optics, Electro-Optics, and Sensors, 1990, Orlando, FL, United States

Abstract

The dynamic range consideration of complex integer computations in a complex residue number system (CRNS) normally necessitates scaling. As the scaling factor increases so does inaccuracy of the CRNS computation. The dynamic range may be increased only at the expense of accuracy. Algebraic integer RNSs (AIRNSs) and separable moduli RNSs (SMRNSs) have been studied because of their potential for reducing the scaling requirement . To further understand AIRNSs and SMRNSs a general conversion procedure between the two number systems has been coded and used to draw some preliminary conclusions about scaling. 1. 0

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Hyo-Kun Hahn, Joe C. Bradley, and Edward C. Malarkey "Some aspects of scaling in an algebraic integer residue number system", Proc. SPIE 1291, Optical and Digital Gallium Arsenide Technologies for Signal Processing Applications, (1 October 1990); https://doi.org/10.1117/12.20986

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