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Evaluation of the square root function on microprocessors
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Source ACM Annual Conference/Annual Meeting archive
Proceedings of the annual conference table of contents
Houston, Texas, United States
Pages: 185 - 191  
Year of Publication: 1976
Authors
M. Andrews  Department of Electrical Engineering, Colorado State University, Fort Collins, Colorado
S. F. McCormick  Department of Mathematics, Colorado State University, Fort Collins, Colorado
G. D. Taylor  Department of Mathematics, Colorado State University, Fort Collins, Colorado
Sponsor
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 14,   Citation Count: 1
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ABSTRACT

The software requirements for real time applications of microprocessors have received little attention from the scientific community, Efficient algorithms for the evaluation of special functions for such purposes are needed, however, The aim of this paper is to report on initial efforts to develop software for evaluation of the square root function in microprocessors utilizing fixed point computation. Numerical results of the performance of these algorithms are described for both eight and sixteen bit precision machines.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
A.V.Oppenheim and C.U.Weinstein, Effects of Finite Register Length in Digital Filtering and the Fast Fourier Transform, Proc. IEEE, Vol. 60, pp. 957-975, Aug. 1972.
 
2
F.F.Kuo and J.F.Kaiser, eds., System Analysis by Digital Computer, Wiley and Sons, Inc., New York, 1966.
 
3
L.P.Mulcahy, Statistical Analysis of Digital Fixed-Point Multiplication Errors, Naval Undersea Research and Development Center, San Diego, NUC-TP-254, AD 735-460, Dec., 1971.
 
4
W.T.Bennet, Spectra of Quantized Signals, Bell System Technical Journal, Vol. 27, pp. 446-472, July, 1948.
 
5
J.E.Shaver, Topics in Statistical Quantization, Stanford Electronics Lab, Stanford, California, SEL TR 7050-5, May 1965.
 
6
John D. Burle, Fast Convolution with Finite Field Fast Transforms, -IEEE-ASSP, Vol. 23 #2, Apr., 1975, p. 240.
 
7
B.Liu, Effect of Finite Word Length on the Accuracy of Digital Filters-A Review, IEEE Trans. Circuit Theory, Vol. CT-18, pp.670-677, Nov., 1971.
 
8
S.Zohar, New Hardware Realizations of Non-recursive Digital Filters, IEEE Trans. on Comp., Vol. C-22, pp. 328-338, Apr., 1973.
 
9
P.W.Baker, More Efficient Radix-2 Algorithms for Some Elementary Functions, IEEE Trans. on Computers, Vol. E6-24, #11, pp. 1049-1054, Nov., 1975.
 
10
M.Andrews, A Hardwired Digital Resolver, Thesis, University of Arizona, Tucson, 1968.
 
11
S.F.McCormick, An Efficient Algorithm for Optimal Control of a Domestic Solar Energy Source Using a Microprocessor, in preparation.
12
 
13
J.Eve, Starting approximations for the iterative calculation of square roots, Comput. J. 6(1963), 274-276.
14
15
16
 
17
I.Ninomlya, Best rational starting approximations and improved Newton iteration for square root, Math. Comp. 24(1970), 391-404.
 
18
P.H.Sterbenz and C.T.Fike, Optimal Starting approximations for Newton's method, Math. Comp. 23(1969), 313-318.
 
19
J.Taylor, Microcomputer Control of a Solar House, Thesis, Colorado State University, Fort Collins, 1974.


Collaborative Colleagues:
M. Andrews: colleagues
S. F. McCormick: colleagues
G. D. Taylor: colleagues