Title :
Generation of a time series having a specified power spectrum with minimum roundoff noise
Author_Institution :
Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
fDate :
4/1/1989 12:00:00 AM
Abstract :
The problem of determining a shaping filter which minimized the output roundoff-noise variance is discussed. It is shown that in the family of shaping filters of an identical McMillan degree having an identical power spectrum, the shaping filter of minimum phase attains a minimum output roundoff-noise variance in either the case of optimal word lengths or the case of equal word lengths. It is shown out by examples that this is not valid in the family of shaping filters having an identical power spectrum and different McMillan degrees
Keywords :
filtering and prediction theory; noise; spectral analysis; time series; McMillan degree; minimum roundoff noise; power spectrum; shaping filter; time series; Analytical models; Gaussian noise; Multi-stage noise shaping; Noise generators; Noise shaping; Nonlinear filters; OWL; Power generation; Signal analysis; Transfer functions;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
