Ti. Laakso et Lb. Jackson, BOUNDS FOR FLOATING-POINT ROUNDOFF NOISE, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 41(6), 1994, pp. 424-426
The dummy multiplier model and the conventional estimates for roundoff
noise variance in floating-point implementations are compared. Common
upper and lower bounds for the noise estimates are derived and experi
mental results are presented. Although the two noise estimates have co
mmon finite bounds, it is shown that they may differ by more than 10 d
B for narrowband lowpass filters.