Cart (Loading....) | Create Account
Close category search window

Arithmetic Codes in Residue Number Systems with Magnitude Index

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Barsi, F. ; Istituto di Elaborazione dell''Informazione ; Maestrini, P.

The idea of adding a magnitude index to the residue representation of numbers is reconsidered. The range of a given residue number system is supposed to be divided into intervals of equal width, and the magnitude index of a number X is defined as an integer locating X into one of such intervals. It is shown that the redundancy implied by the use of the magnitude index allows error detection or correction, and the redundancy requirements to detect or correct single residue digit errors are the same as in redundant residue number systems and in product codes in residue number systems. In addition, these codes allow detection of any error affecting the residue representation, provided that the magnitude of the error exceeds a given threshold, and, whenever an error is detected, it is possible to replace the wrong number with an approximation of the correct number.

Published in:

Computers, IEEE Transactions on  (Volume:C-27 ,  Issue: 12 )

Date of Publication:

Dec. 1978

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.