期刊
IEEE TRANSACTIONS ON SIGNAL PROCESSING
卷 63, 期 2, 页码 466-481出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2014.2371779
关键词
Analytical solution; M-channel maximally decimated paraunitary linear phase FIR least squares filter bank design; orthogonal Procrustes optimization
资金
- National Nature Science Foundation of China [61372173]
- Science and Technology Program of Huadu District of Guangzhou, China [HD14CXY004]
- Doctoral Fund of Ministry of Education of China [20110171120044]
- Guangdong Higher Education International Cooperative Item Facing the Application of Manufacturing of the Internet of Things: Construction and Optimization Decision Methods of Real-time Information Networks [gjhz1005]
- Hundred People Plan from the Guangdong University of Technology
- Young Thousand People Plan from the Ministry of Education of China
A necessary and sufficient condition for M-channel maximally decimated paraunitary FIR filter banks is derived when the lengths of all the filters are the same and they are integer multiples of M. Based on the derived condition, a family of this kind of filter banks is defined. These results are also applied to the corresponding linear phase filter banks. Then, the design of this type of filter banks with the linear phase property is formulated as two orthogonal Procrustes optimization problems. The analytical solution of each optimization problem is derived based on a singular value decomposition approach. Since no numerical optimization computer aided design tool is required for finding the analytical solution of each optimization problem, the computational power required for our proposed method is much lower than that for existing methods. Computer numerical simulation results show that our proposed method can obtain a design instantaneously.
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