Title :
On properties of floating-point roundoff noise
Author :
Fettweis, Alfred
Author_Institution :
University of Bochum, F.R. Germany
fDate :
4/1/1974 12:00:00 AM
Abstract :
The probability density and related properties of the relative error due to rounding after floating-point arithmetic operations can be computed from the distributions of the mantissa and its absolute error. Various results obtained, in particular, under different assumptions concerning the distribution of the mantissa are presented on a common basis and in such a way that they are independent of the number of digits in the mantissa, thus facilitating comparisons.
Keywords :
Attenuation; Bibliographies; Digital arithmetic; Digital filters; Distributed computing; Floating-point arithmetic; Probability distribution; Roundoff errors; Signal processing; Testing;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1974.1162547
