Design of Allpass Variable Fractional Delay Filter
This correspondence investigates the least squares and minimax design problems for allpass variable fractional delay (VFD) filters. A two stage optimization approach is proposed to solve the resulting minimax optimization problem. This approach includes a combination of a one-dimensional global sear...
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| Format: | Journal Article |
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IEEE
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/37223 |
| _version_ | 1848754987357700096 |
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| author | Dam, Hai Huyen |
| author_facet | Dam, Hai Huyen |
| author_sort | Dam, Hai Huyen |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This correspondence investigates the least squares and minimax design problems for allpass variable fractional delay (VFD) filters. A two stage optimization approach is proposed to solve the resulting minimax optimization problem. This approach includes a combination of a one-dimensional global search method and an adaptive scheme to refine the discretization points. In addition, the paper investigates the design of allpass VFD filters which minimizes the weighted integral squared error subject to constraints on peak error deviation from the desired response. By using approximations, the design problem can be formulated as a quadratic optimization problem. Design examples show that a tradeoff between the weighted integral squared error and the peak error deviation can be achieved. In addition, the integral squared error can be reduced significantly from the minimax solution while maintaining approximately the same peak error deviation. Similarly, the peak error deviation can be significantly reduced from the least squares solution while maintaining approximately the same integral squared error. |
| first_indexed | 2025-11-14T08:49:08Z |
| format | Journal Article |
| id | curtin-20.500.11937-37223 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:49:08Z |
| publishDate | 2011 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-372232017-09-13T16:07:58Z Design of Allpass Variable Fractional Delay Filter Dam, Hai Huyen variable fractional delay filter minimax least squares Allpass This correspondence investigates the least squares and minimax design problems for allpass variable fractional delay (VFD) filters. A two stage optimization approach is proposed to solve the resulting minimax optimization problem. This approach includes a combination of a one-dimensional global search method and an adaptive scheme to refine the discretization points. In addition, the paper investigates the design of allpass VFD filters which minimizes the weighted integral squared error subject to constraints on peak error deviation from the desired response. By using approximations, the design problem can be formulated as a quadratic optimization problem. Design examples show that a tradeoff between the weighted integral squared error and the peak error deviation can be achieved. In addition, the integral squared error can be reduced significantly from the minimax solution while maintaining approximately the same peak error deviation. Similarly, the peak error deviation can be significantly reduced from the least squares solution while maintaining approximately the same integral squared error. 2011 Journal Article http://hdl.handle.net/20.500.11937/37223 10.1109/TSP.2011.2165951 IEEE restricted |
| spellingShingle | variable fractional delay filter minimax least squares Allpass Dam, Hai Huyen Design of Allpass Variable Fractional Delay Filter |
| title | Design of Allpass Variable Fractional Delay Filter |
| title_full | Design of Allpass Variable Fractional Delay Filter |
| title_fullStr | Design of Allpass Variable Fractional Delay Filter |
| title_full_unstemmed | Design of Allpass Variable Fractional Delay Filter |
| title_short | Design of Allpass Variable Fractional Delay Filter |
| title_sort | design of allpass variable fractional delay filter |
| topic | variable fractional delay filter minimax least squares Allpass |
| url | http://hdl.handle.net/20.500.11937/37223 |