Title :
Wiener-Hopf filtering in Hilbert resolution space
Author :
Tung, Leonard J. ; Saeks, R. ; Desantis, Romano M.
fDate :
9/1/1978 12:00:00 AM
Abstract :
The theory of causal operators defined on a Hilbert resolution space is employed to derive an abstract Wiener-Hopf filter. The resultant derivation is formally identical to the classical frequency-domain derivation of the Wiener-Hopf filter for linear time-invariant lumped systems though, by virtue of the abstract setting, the resultant filter is applicable to distributed, time-variable, and finite-time problems.
Keywords :
Hilbert space techniques; Hilbert spaces; Operator theory; Wiener filtering; Circuits; Extrapolation; Filtering theory; Geometry; Hilbert space; Nonlinear filters; Spectral analysis; Stochastic processes; Wave functions; Wiener filter;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1978.1084542
