Optimal design of all-pass variable fractional-delay digital filters
This paper presents a computational method for the optimal design of all-pass variable fractional-delay (VFD) filters aiming to minimize the squared error of the fractional group delay subject to a low level of squared error in the phase response. The constrained optimization problem thus formulated...
| Main Authors: | , , |
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| Format: | Journal Article |
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Institute of Electrical and Electronics Engineers-IEEE Circuits and Systems Society
2008
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| Online Access: | http://hdl.handle.net/20.500.11937/18188 |
| _version_ | 1848749673439821824 |
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| author | Lee, Wei Caccetta, Louis Rehbock, Volker |
| author_facet | Lee, Wei Caccetta, Louis Rehbock, Volker |
| author_sort | Lee, Wei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper presents a computational method for the optimal design of all-pass variable fractional-delay (VFD) filters aiming to minimize the squared error of the fractional group delay subject to a low level of squared error in the phase response. The constrained optimization problem thus formulated is converted to an unconstrained least-squares (LS) optimization problem which is highly nonlinear. However, it can be approximated by a linear LS optimization problem which in turn simply requires the solution of a linear system. The proposed method can efficiently minimize the total error energy of the fractional group delay while maintaining constraints on the level of the error energy of the phase response. To make the error distribution as flat as possible, a weighted LS (WLS) design method is also developed. An error weighting function is obtained according to the solution of the previous constrained LS design. The maximum peak error is then further reduced by an iterative updating of the error weighting function. Numerical examples are included in order to compare the performance of the filters designed using the proposed methods with those designed by several existing methods. |
| first_indexed | 2025-11-14T07:24:40Z |
| format | Journal Article |
| id | curtin-20.500.11937-18188 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:24:40Z |
| publishDate | 2008 |
| publisher | Institute of Electrical and Electronics Engineers-IEEE Circuits and Systems Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-181882017-09-13T15:58:57Z Optimal design of all-pass variable fractional-delay digital filters Lee, Wei Caccetta, Louis Rehbock, Volker This paper presents a computational method for the optimal design of all-pass variable fractional-delay (VFD) filters aiming to minimize the squared error of the fractional group delay subject to a low level of squared error in the phase response. The constrained optimization problem thus formulated is converted to an unconstrained least-squares (LS) optimization problem which is highly nonlinear. However, it can be approximated by a linear LS optimization problem which in turn simply requires the solution of a linear system. The proposed method can efficiently minimize the total error energy of the fractional group delay while maintaining constraints on the level of the error energy of the phase response. To make the error distribution as flat as possible, a weighted LS (WLS) design method is also developed. An error weighting function is obtained according to the solution of the previous constrained LS design. The maximum peak error is then further reduced by an iterative updating of the error weighting function. Numerical examples are included in order to compare the performance of the filters designed using the proposed methods with those designed by several existing methods. 2008 Journal Article http://hdl.handle.net/20.500.11937/18188 10.1109/TCSI.2008.916686 Institute of Electrical and Electronics Engineers-IEEE Circuits and Systems Society fulltext |
| spellingShingle | Lee, Wei Caccetta, Louis Rehbock, Volker Optimal design of all-pass variable fractional-delay digital filters |
| title | Optimal design of all-pass variable fractional-delay digital filters |
| title_full | Optimal design of all-pass variable fractional-delay digital filters |
| title_fullStr | Optimal design of all-pass variable fractional-delay digital filters |
| title_full_unstemmed | Optimal design of all-pass variable fractional-delay digital filters |
| title_short | Optimal design of all-pass variable fractional-delay digital filters |
| title_sort | optimal design of all-pass variable fractional-delay digital filters |
| url | http://hdl.handle.net/20.500.11937/18188 |