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| Paper: | SPTM-P11.3 |
| Session: | Filter Banks and Subband Coding |
| Time: | Friday, May 21, 09:30 - 11:30 |
| Presentation: |
Poster |
| Topic: |
Signal Processing Theory and Methods: Multi-rate Signal Processing & Wavelets |
| Title: |
ON THE FACTORIZATION OF TWO-DIMENSIONAL PARAUNITARY FILTER BANKS |
| Authors: |
Farshid Delgosha; Georgia Institute of Technology | | |
| | Faramarz Fekri; Georgia Institute of Technology | | |
| Abstract: |
The factorization of two-dimensional (2D) FIR paraunitary filter banks is addressed in this paper. Our work is a generalization of the factorization algorithm for one-dimensional (1D) paraunitary matrices. We will present a complete factorization for multi-channel, two-dimensional, FIR paraunitary filter banks. The main idea is considering a bivariate FIR matrix as a univariate polynomial whose coefficients are matrices with univariate polynomial entries. With this representation, a generalized version of the factorization algorithm for the 1D case, developed in this paper, can be used. In this direction, a new definition for paraunitary matrices is proposed and a new degree-one building block is presented. The final result is a building block that generates all 2D FIR paraunitary matrices. |
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