On Properties of Floating-Point Roundoff Noise

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 22, Issue 2, 1974, Pages 149-151

  Fettweis, Alfred ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FILTERS, DIGITAL;

EID: 0016048743     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASSP.1974.1162547     Document Type: Article

References (13)

1. 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.
2. A. V. Oppenheim and C. J. Weinstein, “Effects of finite register length in digital filtering and the fast Fourier transform,” Proc. IEEE, vol. 60, pp. 957–976, Aug. 1972.
3. J. H. Wilkinson, Rounding Errors in Algebraic Processes. Englewood Cliffs, N. J.: Prentice-Hall, 1963.
4. B. Liu and T. Kaneko, “Error analysis of digital filters realized with floating-point arithmetic,” Proc. IEEE, vol. 57, pp. 1735–1747, Oct. 1969.
5. A. Fettweis, “Some statistical properties of floating-point roundoff noise,” in Proc. 16th Midwest Symp. Circuit Theory, Waterloo, Ont., Canada, Apr. 1973, pp. II.2.1-II.2.10.
6. T. Kaneko and B. Liu, “On local roundoff errors in floating point arithmetic,” J. Ass. Comput. Mach., vol. 20, pp. 391–398, July 1973.
7. R. W. Hamming, Numerical Methods for Scientists and Engineers. New York: McGraw-Hill, 1962.
8. R. W. Hamming, “On the distribution of numbers,” Bell Syst. Tech. J., vol. 49, pp. 1609-1625, Oct. 1970.
9. A. Fettweis, “On the connection between multiplier word length limitation and roundoff noise in digital filters,” IEEE Trans. Circuit Theory, vol. CT-19, pp. 486–491, Sept. 1972.
10. A. Fettweis, “Some principles of designing digital filters imitating classical filter structures,” IEEE Trans. Circuit Theory, vol. CT-18, pp. 314–316, Mar. 1971.
11. A. Fettweis, “Digital filter structures related to classical filter networks,” Arch. Elek. Übertragung, vol. 25, pp. 79-89, Feb. 1971.
12. I. W. Sandberg, “Floating-point-roundoff accumulation in digital filter realizations,” Bell Syst. Tech. J., vol. 46, pp. 1775–1791, Oct. 1967.
13. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1965.