Efficient Design of One and Two Dimensional Wavelet Filters Using All-pass Filters
Date Issued
2010
Date
2010
Author(s)
Liu, Bang-Sian
Abstract
Recently, wavelet, filter banks, and multiresolution signal analysis theorems have been converged to an unique one. Many researches have shown that wavelet bases can be generated by Perfect Reconstruction Filter Banks（PRFB）. In other words, discrete wavelet transform can be computed by using PRFB, and continuous wavelet bases can also be obtained based on PRFB.
In this thesis, we construct two-channel PRFB using digital all-pass filters. By appropriately approximating the desired phase responses derived from the proposed structure, we can solve the design problem optimally in the L2,L∞, and maximally flat sense respectively to obtain the expected performance of filter banks. By using frequency mapping technique, we can get 2-D wavelet filters easily.
Many simulation examples are presented in this thesis to show the effectiveness of the proposed method. From the comparison of design results, we observe that the proposed method provides the satisfactory design results.
Subjects
wavelet filter
all-pass filter
multi-rate system
Type
thesis
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