Variable fractional delay filter design with discrete coefficients
This paper investigates the optimal design of variable fractional delay (VFD) filter with discrete coefficients as a means of achieving low complexity and efficient hardware implementation. The filter coefficients are expressed as the sum of signed power-of-two (SPT) terms with a restriction on the...
| Main Authors: | , |
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| Format: | Journal Article |
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American Institute of Mathematical Sciences (A I M S Press)
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/6749 |
| _version_ | 1848745166880374784 |
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| author | Dam, Hai Huyen Heidi Teo, Kok Lay |
| author_facet | Dam, Hai Huyen Heidi Teo, Kok Lay |
| author_sort | Dam, Hai Huyen Heidi |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates the optimal design of variable fractional delay (VFD) filter with discrete coefficients as a means of achieving low complexity and efficient hardware implementation. The filter coefficients are expressed as the sum of signed power-of-two (SPT) terms with a restriction on the total number of power-of-two terms. An optimization problem with least squares criterion is formulated as a mixed-integer programming problem. An optimal scaling factor quantization scheme is applied to the problem resulting in an optimal scaling factor quantized solution. This solution is then improved further by applying a discrete filled function, that has been extended for a mixed integer optimization problem. To apply the discrete filled function method, it requires multiple calculations of the objective function around the neighborhood of a searched point. Thus, an updating scheme is developed to efficiently calculate the objective function in a neighborhood of a point. Design examples demonstrate the effectiveness of the proposed optimization approach. |
| first_indexed | 2025-11-14T06:13:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-6749 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:13:03Z |
| publishDate | 2016 |
| publisher | American Institute of Mathematical Sciences (A I M S Press) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-67492017-09-13T14:34:28Z Variable fractional delay filter design with discrete coefficients Dam, Hai Huyen Heidi Teo, Kok Lay This paper investigates the optimal design of variable fractional delay (VFD) filter with discrete coefficients as a means of achieving low complexity and efficient hardware implementation. The filter coefficients are expressed as the sum of signed power-of-two (SPT) terms with a restriction on the total number of power-of-two terms. An optimization problem with least squares criterion is formulated as a mixed-integer programming problem. An optimal scaling factor quantization scheme is applied to the problem resulting in an optimal scaling factor quantized solution. This solution is then improved further by applying a discrete filled function, that has been extended for a mixed integer optimization problem. To apply the discrete filled function method, it requires multiple calculations of the objective function around the neighborhood of a searched point. Thus, an updating scheme is developed to efficiently calculate the objective function in a neighborhood of a point. Design examples demonstrate the effectiveness of the proposed optimization approach. 2016 Journal Article http://hdl.handle.net/20.500.11937/6749 10.3934/jimo.2016.12.819 American Institute of Mathematical Sciences (A I M S Press) unknown |
| spellingShingle | Dam, Hai Huyen Heidi Teo, Kok Lay Variable fractional delay filter design with discrete coefficients |
| title | Variable fractional delay filter design with discrete coefficients |
| title_full | Variable fractional delay filter design with discrete coefficients |
| title_fullStr | Variable fractional delay filter design with discrete coefficients |
| title_full_unstemmed | Variable fractional delay filter design with discrete coefficients |
| title_short | Variable fractional delay filter design with discrete coefficients |
| title_sort | variable fractional delay filter design with discrete coefficients |
| url | http://hdl.handle.net/20.500.11937/6749 |