Paper: | SPTM-P1.9 |
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: |
Theory and Design of Two-Channel Complex Linear-Phase Pseudo-Orthogonal Filterbanks |
Authors: |
Seisuke Kyochi, Yuichi Tanaka, Masaaki Ikehara, Keio University, Japan |
Abstract: |
In recent years, two-channel complex-valued filterbanks have been studied and found theirs several important applications by many reseachers, such as complex signal and image processing. One of those important results is that there is no two-channel complex-valued linear-phase paraunitary filterbank (CLPPUFB), except for its filter lengths of 2. In this paper, we introduce a class of special complex-valued filterbanks which is a subclass of biorthogonal filterbanks: Those filterbanks are called complex pseudo-orthogonal filterbanks (CPOFB), based on the concept of pseudo-orthogonality (PO). This kind of orthogonality, we propose, is different from the conventional one essentially. This paper also shows possibility to design a two-channel complex linear-phase filterbank (CLPFB) with its filter lengths are more than 2, based on PO. Finally, we show a design example of a complex linear-phase pseudo-orthogonal filterbank (CLPPOFB). |