A design of near perfect reconstruction linear-phase QMF banks based on hybrid steepest descent method

Citation
H. Hasegawa et al., A design of near perfect reconstruction linear-phase QMF banks based on hybrid steepest descent method, IEICE T FUN, E83A(8), 2000, pp. 1523-1530
Citations number
12
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
ISSN journal
0916-8508 → ACNP
Volume
E83A
Issue
8
Year of publication
2000
Pages
1523 - 1530
Database
ISI
SICI code
0916-8508(200008)E83A:8<1523:ADONPR>2.0.ZU;2-V
Abstract
In this paper, we propose a projection based design of near perfect reconst ruction QMF banks. An advantage of this method is that additional design sp ecifications are easily implemented by defining new convex sets. To apply c onvex projection technique, the main difficulty is how to approximate the d esign specifications by some closed convex sets. In this paper, introducing a notion of Magnitude Product Space where a pair of magnitude responses of analysis filters is expressed as a point, we approximate design requiremen ts of QMF banks by multiple closed convex sets in this space. The proposed method iteratively applies a convex projection technique, Hybrid Steepest D escent Method, to find a point corresponding to the optimal analysis filter s at each stage, where the closed convex sets are dynamically improved. Des ign examples show that the proposed design method leads to significant impr ovement over conventional design methods.