dc.contributor.author Dam, Hai Huyen Heidi dc.contributor.author Teo, Kok Lay dc.date.accessioned 2017-01-30T10:55:19Z dc.date.available 2017-01-30T10:55:19Z dc.date.created 2016-02-07T19:30:21Z dc.date.issued 2016 dc.identifier.citation Dam, H.H.H. and Teo, K.L. 2016. Variable fractional delay filter design with discrete coefficients. Journal of Industrial and Management Optimization. 12 (3): pp. 819-831. dc.identifier.uri http://hdl.handle.net/20.500.11937/6749 dc.identifier.doi 10.3934/jimo.2016.12.819 dc.description.abstract 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. dc.publisher American Institute of Mathematical Sciences (A I M S Press) dc.title Variable fractional delay filter design with discrete coefficients dc.type Journal Article dcterms.source.volume 12 dcterms.source.number 3 dcterms.source.startPage 819 dcterms.source.endPage 831 dcterms.source.issn 1547-5816 dcterms.source.title Journal of Industrial and Management Optimization curtin.department Department of Mathematics and Statistics curtin.accessStatus Open access via publisher
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