Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response
In this paper, a nonlinear phase finite impulse response (FIR) filter is designed without imposing a desired phase response. The maximum passband group delay of the filter is minimized subject to a positivity constraint on the passband group delay response of the filter as well as a specification on...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
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Universitat Politècnica de Catalunya
2011
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| Online Access: | http://www.eurasip.org/Proceedings/Eusipco/Eusipco2011/papers/1569426571.pdf http://hdl.handle.net/20.500.11937/20158 |
| _version_ | 1848750229678981120 |
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| author | Ho, C. Ling, B. Dam, Hai Teo, Kok Lay |
| author2 | Ana I. Perez-Neira |
| author_facet | Ana I. Perez-Neira Ho, C. Ling, B. Dam, Hai Teo, Kok Lay |
| author_sort | Ho, C. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a nonlinear phase finite impulse response (FIR) filter is designed without imposing a desired phase response. The maximum passband group delay of the filter is minimized subject to a positivity constraint on the passband group delay response of the filter as well as a specification on the maximum absolute difference between the desired magnitude square response and the designed magnitude square response over both the passband and the stopband. This filter design problem is a nonsmooth functional inequality constrained optimization problem. To tackle this problem, first, the one norm functional inequality constraint of the optimization problem is approximated by a smooth function so that the nonsmooth functional inequality con-strained optimization problem is approximated as a nonconvex functional inequality constrained optimization problem. Then, a modified filled function method is applied for finding the global minimum of the nonconvex optimization problem. Computer numerical simulation results show that our designed nonlinear phase peak constrained FIR filter could achieve lower minimum passband group delay than those of existing designs. |
| first_indexed | 2025-11-14T07:33:31Z |
| format | Conference Paper |
| id | curtin-20.500.11937-20158 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:33:31Z |
| publishDate | 2011 |
| publisher | Universitat Politècnica de Catalunya |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-201582017-03-08T13:18:45Z Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response Ho, C. Ling, B. Dam, Hai Teo, Kok Lay Ana I. Perez-Neira In this paper, a nonlinear phase finite impulse response (FIR) filter is designed without imposing a desired phase response. The maximum passband group delay of the filter is minimized subject to a positivity constraint on the passband group delay response of the filter as well as a specification on the maximum absolute difference between the desired magnitude square response and the designed magnitude square response over both the passband and the stopband. This filter design problem is a nonsmooth functional inequality constrained optimization problem. To tackle this problem, first, the one norm functional inequality constraint of the optimization problem is approximated by a smooth function so that the nonsmooth functional inequality con-strained optimization problem is approximated as a nonconvex functional inequality constrained optimization problem. Then, a modified filled function method is applied for finding the global minimum of the nonconvex optimization problem. Computer numerical simulation results show that our designed nonlinear phase peak constrained FIR filter could achieve lower minimum passband group delay than those of existing designs. 2011 Conference Paper http://hdl.handle.net/20.500.11937/20158 http://www.eurasip.org/Proceedings/Eusipco/Eusipco2011/papers/1569426571.pdf Universitat Politècnica de Catalunya restricted |
| spellingShingle | Ho, C. Ling, B. Dam, Hai Teo, Kok Lay Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response |
| title | Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response |
| title_full | Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response |
| title_fullStr | Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response |
| title_full_unstemmed | Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response |
| title_short | Minimax Passband Group Delay Nonlinear Fir Filter Design without Imposing Desired Phase Response |
| title_sort | minimax passband group delay nonlinear fir filter design without imposing desired phase response |
| url | http://www.eurasip.org/Proceedings/Eusipco/Eusipco2011/papers/1569426571.pdf http://hdl.handle.net/20.500.11937/20158 |