An Efficient Residue-to-Decimal Converter

IEEE Transactions on Circuits and Systems

Volumn 28, Issue 12, 1981, Pages 1164-1169

  Taylor, Fred J ^a   Ramnarayanan, A S ^a  

^a UNIVERSITY OF CINCINNATI   (United States)

Author keywords

diophantine equation; number system conversion; Residue arithmetic; table lookup

Indexed keywords

ELECTRIC FILTERS, DIGITAL;

SIGNAL PROCESSING;

EID: 0019654237     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1981.1084942     Document Type: Article

References (10)

1. N. S. Szabo and R. I. Tanaka, Residue Arithmetic and Its Application to Computer Technology. New York: McGraw-Hill, 1967.
2. A. Baraniecka and G. A. Jullien, “On decoding techniques for residue number system realizations of digital signal processing hardware.” IEEE Trans. Circuits Syst., vol. CAS-25, Nov. 1978.
3. W. K. Jenkins, “A new algorithm for scaling in residue number systems with applications to recursive digital filtering,” in Proc. IEEE Int. Symp. on Circuits and Systems, (Phoenix AZ), pp. 56–59, 1977.
4. H. Huang and F. J. Taylor, “High speed DFT's using residue. numbers,” in IEEE Int. Conf. on Acoustics, Speech, Signal Processing, (Denver, CO), pp. 238–242, Apr. 1980.
5. D. P. Maher, “Mathematical background for generalized, partial, and incomplete discrete. Fourier transforms,” in Proc. ASSP Conf., (Denver, CO), Apr. 1980.
6. J. A. McClellan and C. M. Rader, Number Theory in Digital Signal Processing. Englewood Cliffs, NJ: Prentice Hall, 1979, ch. III.
7. G. Birkhoff and S. MacLane, A Survey of Modern Algebra, (4th ed.) New York: MacMillan, 1977, p. 27.
8. F. J. Taylor, “Large VLSI module multipliers,” in IEEE Int. Symp. on Circuits and Systems, (Houston, TX), Apr. 1980.
9. W. K. Jenkins, “A technique for high-precision digital filtering with multiple 8-bit microprocessors,” in 20th Midwest Symposium on. Circuits and Systems, (Lubbock, TX), Aug. 1977.
10. M. A. Soderstrand, C. Vernia, D. W. Paulson, and M. C. Vigil, “Microprocessor controlled adaptive digital filters,” in IEEE Int. Symp. on Circuits and Systems, (Houston, TX), Apr. 1980.