Title :
An optimal filter of the second order
Author :
Torokhti, Anatoli P. ; Howlett, Phil G.
Author_Institution :
Dept. of Appl. Math., Adelaide Univ., SA, Australia
fDate :
5/1/2001 12:00:00 AM
Abstract :
We present a new technique allowing us to find an optimal filter in the class of so-called second-order filters. The new filter is generated by a best-approximation operator of the second degree and generalizes and improves an optimal linear filter associated with the concept of Wiener filtering. This article provides a strict justification of the technique proposed, demonstrates its advantages, and describes numerous useful extensions and applications
Keywords :
Wiener filters; approximation theory; circuit optimisation; filtering theory; mathematical operators; Wiener filtering; best-approximation operator; noisy images; optimal linear filter; second order optimal filter; Additive noise; Equations; Filtering; Lakes; Mathematics; Nonlinear filters; Null space; Pollution measurement; Signal restoration; Wiener filter;
Journal_Title :
Signal Processing, IEEE Transactions on
