Title :
Notes on the stability of bilinear filters
Author :
Johnson, Kelly K. ; Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
fDate :
7/1/1998 12:00:00 AM
Abstract :
We describe recently obtained stability results concerning discrete-time bilinear filters. Simple sufficient conditions are given for bounded-input bounded-output stability (with not necessarily zero initial conditions), Ip stability, and three other important types of stability. In particular, renditions are given under which asymptotically periodic inputs produce asymptotically periodic outputs with the same period
Keywords :
bilinear systems; discrete time filters; filtering theory; nonlinear filters; signal processing; stability; asymptotically periodic inputs; asymptotically periodic outputs; bilinear filters; bounded-input bounded-output stability; discrete-time filters; quadratic filters; stability; sufficient conditions; Autocorrelation; Biomedical signal processing; Circuits; Equations; Nonlinear filters; Nonlinear systems; Sequences; Signal reconstruction; Speech processing; Stability;
Journal_Title :
Signal Processing, IEEE Transactions on
