NONLINEAR PHASE FIR FILTER DESIGN ACCORDING TO THE L(2) NORM WITH CONSTRAINTS FOR THE COMPLEX ERROR (VOL 36, PG 31, 1994)

Citation
M. Lang et J. Bamberger, NONLINEAR PHASE FIR FILTER DESIGN ACCORDING TO THE L(2) NORM WITH CONSTRAINTS FOR THE COMPLEX ERROR (VOL 36, PG 31, 1994), Signal processing, 38(2), 1994, pp. 259-268
Citations number
NO
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
ISSN journal
01651684
Volume
38
Issue
2
Year of publication
1994
Pages
259 - 268
Database
ISI
SICI code
0165-1684(1994)38:2<259:NPFFDA>2.0.ZU;2-5
Abstract
We examine the problem of approximating a complex frequency response b y a real-valued FIR filter according to the L2 norm subject to additio nal inequality constraints for the complex error function. Starting wi th the Kuhn-Tucker optimality conditions which specialize to a system of nonlinear equations, we deduce an iterative algorithm. These equati ons are solved by Newton's method in every iteration step. The algorit hm allows arbitrary tradeoffs between an L2 and an L(infinity) design. The L2 and the L(infinity) solution result as special cases.