Paper: | SPTM-P1.2 |
Session: | Multi-rate Signal Processing and Wavelets |
Time: | Tuesday, May 16, 10:30 - 12:30 |
Presentation: |
Poster
|
Topic: |
Signal Processing Theory and Methods: Multi-rate Signal Processing and Wavelets |
Title: |
Construction of Tight Filter Bank Frames |
Authors: |
Li Chai, Hangzhou Dianzi University, China; Jingxin Zhang, Monash University, Australia; Cishen Zhang, Nanyang Technological University, Singapore; Edoardo Mosca, Universitya di Firenze, Italy |
Abstract: |
In this paper, we present an explicit and numerically efficient formulae to construct a tight (paraunitary) FB frame from a given un-tight (non-paraunitary) FB frame. The derivation uses the well developed techniques from modern control theory, which results in the unified formulae for generic IIR and FIR FBs. These formulae involve only algebraic matrix manipulations and can be computed efficiently and reliably without the approximation required in the existing literature. |