A SINGLE BIT ERROR DETECTION AND CORRECTION BASED ON THEMRC AND THE MP TECHNIQUES IN RRNS ARCHITECTURE

This paper presents some results on single error detection and correction based on the Redundant Residue Number System (RRNS).The proposed technique utilizes the Mixed Radix Conversion (MRC) and the Modulus Projection (MP) algorithms that significantly simplifies the error correction process for integers. The MP considerably reduces the computational steps and hardware architecture and further improve the processing speed. This results in a considerable improvement in the speed by  and tends to require about  less hardware resources in the proposed scheme when compared with the existing scheme used in this work. The proposed scheme is built on simple adders in the design of the architecture which saw a considerable improvement in both area and speed in as compared to the work by Yangyang et. al [6] which used ROMs and latches for the design of their architecture.

[1]  H. Garner The residue number system , 1959, IRE-AIEE-ACM '59 (Western).

[2]  Richard I. Tanaka,et al.  Residue arithmetic and its applications to computer technology , 1967 .

[3]  Behrouz A. Forouzan,et al.  Data Communications and Networking , 2000 .

[4]  Keivan Navi,et al.  New Arithmetic Residue to Binary Converters , 2007 .

[5]  T. Overton 1972 , 1972, Parables of Sun Light.

[7]  Christophe Jégo,et al.  A new single-error correction scheme based on self-diagnosis residue number arithmetic , 2010, 2010 Conference on Design and Architectures for Signal and Image Processing (DASIP).

[8]  W. Kenneth Jenkins,et al.  Fault Tolerant Signal Processing for Masking Transient Errors in VLSI Signal Processors , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[9]  Piero Maestrini,et al.  Error Correcting Properties of Redundant Residue Number Systems , 1973, IEEE Transactions on Computers.

[10]  Dana Ron,et al.  Chinese remaindering with errors , 1999, STOC '99.