Design of Variable Fractional Delay Filter with Fractional Delay Constraints
This letter develops an efficient computational procedure for the design of an odd-order variable fractional delay (VFD) digital filter with minimum peak variable fractional delay error subject to restrictions on the peak variable frequency response error. An iterative algorithm is developed to solv...
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| Format: | Journal Article |
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Institute of Electrical and Electronics Engineers
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/28928 |
| _version_ | 1848752667658027008 |
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| author | Dam, Hai Huyen Heidi |
| author_facet | Dam, Hai Huyen Heidi |
| author_sort | Dam, Hai Huyen Heidi |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This letter develops an efficient computational procedure for the design of an odd-order variable fractional delay (VFD) digital filter with minimum peak variable fractional delay error subject to restrictions on the peak variable frequency response error. An iterative algorithm is developed to solve the formulated non-linear optimization problem where a first order linear approximation is employed for the variable fractional delay error. This results in a second-order cone programming (SOCP) problem with linear constraints. Design examples show that the peak fractional delay error can be reduced significantly from the minimax solution while maintaining approximately the same peak frequency response error. In addition, for a fixed level of peak variable frequency response error, approximately 1.61-2.09 dB improvement for the peak variable delay error can be obtained over existing methods. |
| first_indexed | 2025-11-14T08:12:16Z |
| format | Journal Article |
| id | curtin-20.500.11937-28928 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:12:16Z |
| publishDate | 2014 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-289282017-09-13T15:18:38Z Design of Variable Fractional Delay Filter with Fractional Delay Constraints Dam, Hai Huyen Heidi variable fractional delay filter second-order cone programming problem Fractional delay constraints This letter develops an efficient computational procedure for the design of an odd-order variable fractional delay (VFD) digital filter with minimum peak variable fractional delay error subject to restrictions on the peak variable frequency response error. An iterative algorithm is developed to solve the formulated non-linear optimization problem where a first order linear approximation is employed for the variable fractional delay error. This results in a second-order cone programming (SOCP) problem with linear constraints. Design examples show that the peak fractional delay error can be reduced significantly from the minimax solution while maintaining approximately the same peak frequency response error. In addition, for a fixed level of peak variable frequency response error, approximately 1.61-2.09 dB improvement for the peak variable delay error can be obtained over existing methods. 2014 Journal Article http://hdl.handle.net/20.500.11937/28928 10.1109/LSP.2014.2336662 Institute of Electrical and Electronics Engineers restricted |
| spellingShingle | variable fractional delay filter second-order cone programming problem Fractional delay constraints Dam, Hai Huyen Heidi Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
| title | Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
| title_full | Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
| title_fullStr | Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
| title_full_unstemmed | Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
| title_short | Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
| title_sort | design of variable fractional delay filter with fractional delay constraints |
| topic | variable fractional delay filter second-order cone programming problem Fractional delay constraints |
| url | http://hdl.handle.net/20.500.11937/28928 |