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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| Vydané v: | IEEE signal processing letters Ročník 21; číslo 11; s. 1361 - 1364 |
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| Médium: | Journal Article |
| Jazyk: | English |
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New York
IEEE
01.11.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1070-9908, 1558-2361 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Hai Huyen Dam |
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| Cites_doi | 10.1109/TSP.2012.2231678 10.1080/10556789908805766 10.1109/TCSII.2007.912750 10.1109/ISCAS.2012.6272157 10.1109/TCSII.2008.2011598 10.1109/TSP.2014.2302733 10.1109/TCSII.2006.883102 10.1016/j.sigpro.2013.07.004 10.1109/TCSII.2013.2291063 10.1109/TSP.2011.2165951 10.1109/ISCAS.1988.15483 |
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| Snippet | This letter develops an efficient computational procedure for the design of an odd-order variable fractional delay (VFD) digital filter with minimum peak... |
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| SubjectTerms | Approximation Delay Delays Digital filters Errors Fractional delay constraints Frequency response Iterative methods Least squares approximations Linear approximation Mathematical models Noise levels Optimization Peak frequency second-order cone programming problem variable fractional delay filter |
| Title | Design of Variable Fractional Delay Filter with Fractional Delay Constraints |
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