Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach
A necessary and sufficient condition for M-channel maximally decimated paraunitary FIRfilter 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...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Published: |
IEEE
2015
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/31819 |
| _version_ | 1848753489442766848 |
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| author | Ling, B. Tian, N. Ho, C. Siu, W. Teo, Kok Lay Dai, Q. |
| author_facet | Ling, B. Tian, N. Ho, C. Siu, W. Teo, Kok Lay Dai, Q. |
| author_sort | Ling, B. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A necessary and sufficient condition for M-channel maximally decimated paraunitary FIRfilter 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. |
| first_indexed | 2025-11-14T08:25:20Z |
| format | Journal Article |
| id | curtin-20.500.11937-31819 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:25:20Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-318192018-03-29T09:09:14Z Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach Ling, B. Tian, N. Ho, C. Siu, W. Teo, Kok Lay Dai, Q. M-channel maximally decimated paraunitary linear phase FIR least squares filter bank design Analytical solution orthogonal Procrustes optimization A necessary and sufficient condition for M-channel maximally decimated paraunitary FIRfilter 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. 2015 Journal Article http://hdl.handle.net/20.500.11937/31819 10.1109/TSP.2014.2371779 IEEE restricted |
| spellingShingle | M-channel maximally decimated paraunitary linear phase FIR least squares filter bank design Analytical solution orthogonal Procrustes optimization Ling, B. Tian, N. Ho, C. Siu, W. Teo, Kok Lay Dai, Q. Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach |
| title | Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach |
| title_full | Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach |
| title_fullStr | Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach |
| title_full_unstemmed | Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach |
| title_short | Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach |
| title_sort | maximally decimated paraunitary linear phase fir filter bank design via iterative svd approach |
| topic | M-channel maximally decimated paraunitary linear phase FIR least squares filter bank design Analytical solution orthogonal Procrustes optimization |
| url | http://hdl.handle.net/20.500.11937/31819 |