Title :
Bounds for floating-point roundoff noise
Author :
Laakso, Timo I. ; Jackson, Leland B.
fDate :
6/1/1994 12:00:00 AM
Abstract :
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
Keywords :
digital arithmetic; digital filters; multiplying circuits; roundoff errors; dummy multiplier model; finite bounds; floating-point roundoff noise; narrowband lowpass filters; noise estimates; noise variance; recursive digital filters; Bifurcation; Chaos; Delta-sigma modulation; Digital filters; Digital modulation; Digital signal processing; Piecewise linear techniques; Quantization; Signal processing; White noise;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
