Title :
A unified study on the roundoff noise in 2-D state space digital filters
Author :
Lin, Tao ; Kawamata, Masayuki ; Higuchi, Tatsuo
Author_Institution :
Tohoku University, Sendai, Japan
Abstract :
This paper studies the roundoff noise and the scaling in 2-D state space digital filters. The noise matrix and the covariance matirx in the 2-D case are derived. They are expressed with infinite sum or double integral. A formulation is given to synthesize minimum roundoff noise 2-D state space digital filters. A numerical example is given to show the methods of analysis and synthesis.
Keywords :
Analysis of variance; Covariance matrix; Digital filters; Equations; Filtering algorithms; State-space methods; Statistical analysis; Transfer functions; Transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '86.
DOI :
10.1109/ICASSP.1986.1168957