Abstract
Fault-tolerant data transmission models based on the redundant residue number system are proposed in this paper; they can transmit data correctly between two ends unless the residue errors exceed the error-correction capability. The expressions for the probability of error are presented when the channel noise is additive Gaussian noise and each branch is M-ary orthogonal signaling modulation. The expressions of the probabilities of undetected and uncorrected error are also obtained when the redundant residue number system are single error-checking and single error-correcting model, respectively.
Similar content being viewed by others
References
A. P. Shenoy, R. Kumaresan, Fast base extension using a redundant modules in RNS, IEEE Trans. on C, C-38(1989)2, 292–297.
H. Krishna, K. Y. Lin, J. D. Sun, A coding theory approach to error control in redundant residue number system, part I: Theory and single error correction, IEEE Trans. on CAS, CAS-39(1992)1, 8–17.
D. Mandelbaum, Error correction in residue arithmetic, IEEE Trans. on C, C-21(1972)6, 538–545.
H. Krisa, J. D. Sun, On theory and fast algorithms for error correction in residue number system product codes, IEEE Trans. on C, C-42(1993)4, 427–432.
E. D. D. Claudio, G. Orlandi, F. Piazza, A systolic redundant residue arithmetic error correction circuit, IEEE Trans. on C, C-42(1993)7, 427–432.
J. G. Proakis, Digital Communications, New York: McGraw-Hill, 1983, 248–253.
Author information
Authors and Affiliations
Additional information
Supported by the National Natural Science Foundation of China
About this article
Cite this article
Lieliang, Y., Chengshu, L. & Tao, N. Fault-tolerant performance of data transmission models based on redundant residue number system. J. of Electron.(China) 14, 140–147 (1997). https://doi.org/10.1007/s11767-997-1006-4
Issue Date:
DOI: https://doi.org/10.1007/s11767-997-1006-4