Bounds for Floating-Point Roundoff Noise
Date of Original Version
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 experimental results are presented. Although the two noise estimates have common finite bounds, it is shown that they may differ by more than 10 dB for narrowband lowpass filters. © 1994 IEEE
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Laakso, Timo I. I., and Leland B. Jackson. "Bounds for Floating-Point Roundoff Noise." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 41, 6 (1994): 424-426. doi:10.1109/82.300204.