The Design of Error Checkers for Self-Checking Residue Number Arithmetic

IEEE Transactions on Computers

Volumn C-32, Issue 4, 1983, Pages 388-396

  Jenkins, W Kenneth ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Digital processors; fault tolerance; modular arithmetic; residue arithmetic; self checking arithmetic; special purpose hardware

Indexed keywords

CODES, SYMBOLIC - ERROR CORRECTION;

COMPUTER ARITHMETIC;

COMPUTER METATHEORY;

EID: 0020734593     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.1983.1676240     Document Type: Article

References (18)

1. W. K. Jenkins and B. J. Leon, “The use of residue number systems in the design of finite impulse response digital filters,” IEEE Trans. Circuits Syst., vol. CAS-24, pp. 191-201, Apr. 1977.
2. A. Baraniecka and G. A. Jullien, “Residue number system implementations of number theoretic transforms,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 285-291, June 1980.
3. C. H. Huang, D. G. Peterson, H. E. Rauch, J. W. Teague, and D. F. Fraser, “Implementation of a fast digital processor using the residue number system,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 32-38, Jan. 1981.
4. F. J. Taylor and A. S. Ramnarayanan, “An efficient residue-to-decimal converter,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 1164-1169, Dec. 1981.
5. W. K. Jenkins, “Recent advances in residue number system techniques for recursive digital filtering,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-27, pp. 19-30, Feb. 1979.
6. M. A. Soderstrand, “A high-speed, low-cost, recursive digital filter using residue number arithmetic,” Proc. IEEE, vol. 65, pp. 1065-1067, July 1977.
7. M. A. Soderstrand and E. L. Fields, “Multipliers for residue-number-arithmetic digital filters,” Electron. Lett., vol. 13, pp. 164-166, Mar. 1977.
8. G. A. Jullien, “Residue number scaling and other operations using ROM arrays,” IEEE Trans. Comput., vol. C-27, pp. 325-336, Apr. 1978.
9. D. Mandelbaum, “Error Correction in Residue Arithmetic,” IEEE Trans. Comput., vol. C-21, pp. 538-545, June 1972.
10. F. Barsi and P. Masestrini, “Error correcting properties of redundant residue number systems,” IEEE Trans. Comput., vol. C-22, pp. 307-315, Mar. 1973.
11. F. Barsi and P. Masestrini, “Error detection and correction by product codes in residue number systems,” IEEE Trans. Comput., vol. C-23, pp. 915-924, Sept. 1974.
12. M. H. Etzel and W. K. Jenkins, “Redundant residue number systems for error detection and correction in digital filters,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 538-545, Oct. 1980.
13. M. H. Etzel and W. K. Jenkins, “The design of specialized reside classes for efficient recursive digital filter realization,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 370-380, June 1982.
14. S. D. Fouse, G. R. Nudd, G. M. Thorne-Booth, P. A. Nygaard, and F. D. Gichard, “Image understanding of IU algorithms,” Hughes Research Laboratory, Malibu, CA, Tech. Rep. USCIPI 1010, ch. 2, 1982.
15. W. K. Jenkins, “Residue number system error checking using expanded projection,” Electron. Lett., vol. 18, pp. 927-928, Oct. 1982.
16. W. K. Jenkins, “A new approach to the design of an error checker for failure resistent residue number digital processors,” in Proc. 1982 Int. Symp. Circuits Syst., Rome, Italy, May 1982, pp. 369-372.
17. B. J. Leon, “Residue algebras and number theoretical transforms,” in Digital Signal Processing, J. K. Aggarwal, Ed. North Hollywood, CA: Western Periodicals, 1979.
18. N. S. Szabo and R. I. Tanaka, Residue Arithmetic and Its Applications to Computer Technology. New York: McGraw-Hill, 1967.