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  • 1992
  • Issue No. 6 - June
  • Abstract - Comments on 'An Architecture for Addition and Subtraction of Long Word Length Numbers in the Logarithmic Number System' by D.M. Lewis
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Comments on 'An Architecture for Addition and Subtraction of Long Word Length Numbers in the Logarithmic Number System' by D.M. Lewis
June 1992 (vol. 41 no. 6)
pp. 786-788

D.M. Lewis recently described an architecture for performing addition and subtraction in the logarithmic number system using a Taylor series approximation and ROM tables. Here it is shown that a 25% improvement can be achieved in the table used to implement addition. This improvement is significant when Lewis' technique is used to implement variations of the logarithmic number system which do not require the subtraction logarithm.

[1] M. G. Arnold, "Extending the precision of the sign logarithm number system," M. S. Thesis, Univ. of Wyoming, Laramie, WY, 1982.
[2] M. G. Arnold, T. A. Bailey, and J. R. Cowles, "Improved accuracy for logarithmic addition in DSP applications," inProc. IEEE Int. Conf. Acoust., Speech, Signal Processing, 1988, pp. 1714-1717.
[3] M. G. Arnold, T. A. Bailey, J. R. Cowles, and J. J. Cupal, "Redundant logarithmic arithmetic,"IEEE Trans. Comput., vol. 39, pp. 1077-1086, 1990.
[4] E. E. Swartzlander and A. C. Alexopoulos, "The sign/logarithm number system,"IEEE Trans. Comput., vol. C-24, pp. 1238-1242, Dec 1975.
[5] F. J. Taylor, R. Gill, J. Joseph, and J. Radke, "A 20 bit logarithmic number system processor,"IEEE Trans. Comput., vol. C-37, pp. 190-199, Feb 1988.

Index Terms:
addition; subtraction; logarithmic number system; Taylor series approximation; ROM tables; digital arithmetic; table lookup.
Citation:
M. Arnold, T. Bailey, J. Cowles, "Comments on 'An Architecture for Addition and Subtraction of Long Word Length Numbers in the Logarithmic Number System' by D.M. Lewis," IEEE Transactions on Computers, vol. 41, no. 6, pp. 786-788, June 1992, doi:10.1109/12.144632
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