Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design
In this chapter, a two-channel linear phase finite impulse response (FIR) quadrature mirror filter (QMF) bank minimax design problem is formulated as a nonconvex optimization problem so that a weighted sum of the maximum amplitude distortion of the filter bank, the maximum passband ripple magnitude,...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Book Chapter |
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Springer-Verlag
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/3901 |
| _version_ | 1848744361086418944 |
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| author | Ling, Bingo Ho, Charlotte Teo, Kok Lay |
| author2 | A. Chatterjee et al |
| author_facet | A. Chatterjee et al Ling, Bingo Ho, Charlotte Teo, Kok Lay |
| author_sort | Ling, Bingo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this chapter, a two-channel linear phase finite impulse response (FIR) quadrature mirror filter (QMF) bank minimax design problem is formulated as a nonconvex optimization problem so that a weighted sum of the maximum amplitude distortion of the filter bank, the maximum passband ripple magnitude, and the maximum stopband ripple magnitude of the prototype filter is minimized subject to specifications on these performances. A joint norm relaxed sequential quadratic programming and filled function method is proposed for finding the global minimum of the nonconvex optimization problem. Computer numerical simulations show that our proposed design method is efficient and effective. |
| first_indexed | 2025-11-14T06:00:14Z |
| format | Book Chapter |
| id | curtin-20.500.11937-3901 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:00:14Z |
| publishDate | 2013 |
| publisher | Springer-Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-39012017-09-13T14:32:14Z Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design Ling, Bingo Ho, Charlotte Teo, Kok Lay A. Chatterjee et al In this chapter, a two-channel linear phase finite impulse response (FIR) quadrature mirror filter (QMF) bank minimax design problem is formulated as a nonconvex optimization problem so that a weighted sum of the maximum amplitude distortion of the filter bank, the maximum passband ripple magnitude, and the maximum stopband ripple magnitude of the prototype filter is minimized subject to specifications on these performances. A joint norm relaxed sequential quadratic programming and filled function method is proposed for finding the global minimum of the nonconvex optimization problem. Computer numerical simulations show that our proposed design method is efficient and effective. 2013 Book Chapter http://hdl.handle.net/20.500.11937/3901 10.1007/978-3-642-37880-5_1 Springer-Verlag restricted |
| spellingShingle | Ling, Bingo Ho, Charlotte Teo, Kok Lay Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design |
| title | Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design |
| title_full | Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design |
| title_fullStr | Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design |
| title_full_unstemmed | Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design |
| title_short | Nonconvex Optimization via Joint Norm Relaxed SQP and Filled Function Method with Application to Minimax Two-Channel Linear Phase FIR QMF Bank Design |
| title_sort | nonconvex optimization via joint norm relaxed sqp and filled function method with application to minimax two-channel linear phase fir qmf bank design |
| url | http://hdl.handle.net/20.500.11937/3901 |