A Discrete Filled Function Method for the Design of FIR Filters With Signed-Powers-of-Two Coefficients

In this paper, we consider the optimal design of finite-impulse response (FIR) filters with coefficients expressed as sums of signed powers-of-two (SPT) terms, where the normalized peak ripple (NPR) is taken as the performance measure. This problem is formulated as a mixed-integer programming proble...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on signal processing 2008-01, Vol.56 (1), p.134-139
Hauptverfasser: Zhi Guo Feng, Zhi Guo Feng, Kok Lay Teo, Kok Lay Teo
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we consider the optimal design of finite-impulse response (FIR) filters with coefficients expressed as sums of signed powers-of-two (SPT) terms, where the normalized peak ripple (NPR) is taken as the performance measure. This problem is formulated as a mixed-integer programming problem. Based on a transformation between two different integer spaces and the computation of the optimal scaling factor for a given set of coefficients, this mixed integer programming problem is transformed into an equivalent integer programming problem. Then, an efficient algorithm based on a discrete filled function is developed for solving this equivalent problem. For illustration, some numerical examples are solved.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2007.901164