期刊
SIGNAL PROCESSING
卷 93, 期 11, 页码 3014-3026出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2013.04.001
关键词
Regular rational filter banks; Non-uniform filter banks; Biorthogonal rational discrete wavelet; Flexible frequency partitioning; Optimization filter design
This paper proposes an approach for designing a general two-band, FIR, critically sampled, rational rate filter bank (RFB) with perfect reconstruction (PR) and regularity properties. Designs obtained from this approach, when iterated, lead to rational discrete wavelet transforms (RADWTs) with adjustable dilation factor. The RFB design is based on solving a non-convex constrained optimization problem in which the non-linear constraints arise from the perfect reconstruction conditions. An iterative algorithm is used to solve the optimization problem through solving a simplified convex quadratic problem with linear constraints at each iteration step. Some examples are provided to demonstrate the use of bi-orthogonal RADWTs in applications such as signal separation which benefit from decompositions with suitably chosen dilation factors. (C) 2013 Elsevier B.V. All rights reserved.
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