Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship
This brief investigates a tradeoff between the integral squared error and the peak deviation error for a variable fractional delay (VFD) filter with a coefficient relationship. The integral squared error is minimized subject to additional constraints on the peak deviation error. The problem is solve...
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| Format: | Journal Article |
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IEEE Circuits and Systems Society
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/45502 |
| _version_ | 1848757303229022208 |
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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 brief investigates a tradeoff between the integral squared error and the peak deviation error for a variable fractional delay (VFD) filter with a coefficient relationship. The integral squared error is minimized subject to additional constraints on the peak deviation error. The problem is solved by utilizing second-order cone programming. In addition, the performance of the VFD filter with discrete coefficients is investigated, in which the filter coefficients are expressed as the sum of power-of-two terms to reduce the filter operations to shifts and adds. Design examples show that the peak deviation error can be significantly reduced from the least squares solution while maintaining approximately the same integral squared error. Similarly, the integral squared error can be significantly reduced from the minimax solution while maintaining approximately the same peak deviation error. Furthermore, the tradeoff filters are less sensitive with respect to quantization than the least squares and minimax solutions. |
| first_indexed | 2025-11-14T09:25:57Z |
| format | Journal Article |
| id | curtin-20.500.11937-45502 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:25:57Z |
| publishDate | 2014 |
| publisher | IEEE Circuits and Systems Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-455022017-09-13T16:01:42Z Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship Dam, Hai Huyen Heidi This brief investigates a tradeoff between the integral squared error and the peak deviation error for a variable fractional delay (VFD) filter with a coefficient relationship. The integral squared error is minimized subject to additional constraints on the peak deviation error. The problem is solved by utilizing second-order cone programming. In addition, the performance of the VFD filter with discrete coefficients is investigated, in which the filter coefficients are expressed as the sum of power-of-two terms to reduce the filter operations to shifts and adds. Design examples show that the peak deviation error can be significantly reduced from the least squares solution while maintaining approximately the same integral squared error. Similarly, the integral squared error can be significantly reduced from the minimax solution while maintaining approximately the same peak deviation error. Furthermore, the tradeoff filters are less sensitive with respect to quantization than the least squares and minimax solutions. 2014 Journal Article http://hdl.handle.net/20.500.11937/45502 10.1109/tcsii.2013.2291063 IEEE Circuits and Systems Society fulltext |
| spellingShingle | Dam, Hai Huyen Heidi Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship |
| title | Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship |
| title_full | Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship |
| title_fullStr | Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship |
| title_full_unstemmed | Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship |
| title_short | Variable Fractional Delay FIR Filter Design with a Bicriteria and Coefficient Relationship |
| title_sort | variable fractional delay fir filter design with a bicriteria and coefficient relationship |
| url | http://hdl.handle.net/20.500.11937/45502 |