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dc.contributor.authorDam, Hai Huyen Heidi
dc.contributor.authorTeo, Kok Lay
dc.identifier.citationDam, 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.

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.publisherAmerican Institute of Mathematical Sciences (A I M S Press)
dc.titleVariable fractional delay filter design with discrete coefficients
dc.typeJournal Article
dcterms.source.titleJournal of Industrial and Management Optimization
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access via publisher

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