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The Worst-Case DFT Filter Bank Design with Subchannel Variations

Lin Jiang, Changzhi Wu, Xiangyu Wang and Kok Lay Teo
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Lin Jiang: Anhui Normal University, School of Mathematics
Changzhi Wu: School of Built Environment, Curtin University, Australasian Joint Research Centre for Building Information Modelling
Xiangyu Wang: School of Built Environment, Curtin University, Australasian Joint Research Centre for Building Information Modelling
Kok Lay Teo: Curtin University, School of Mathematics and Statistics

Chapter Chapter 10 in Optimization Methods, Theory and Applications, 2015, pp 183-205 from Springer

Abstract: Abstract In this paper, we consider an optimal design of a DFT filter bank subject to subchannel variation constraints. The design problem is formulated as a minimax optimization problem. By exploiting the properties of this minimax optimization problem, we show that it is equivalent to a semi-infinite optimization problem in which the continuous inequality constraints are only with respect to frequency. Then, a computational scheme is developed to solve such a semi-infinite optimization problem. Simulation results show that, for a fixed distortion level, the aliasing level between different subbands is significantly reduced, in some cases up to 28 dB, when compared with that obtained by the bi-iterative optimization method without consideration of the subchannel variations.

Keywords: Analysis Filter Bank; Subchannels; Semi-infinite Optimization Problem; Continuous Inequality Constraints; Prototype Filter (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-47044-2_10

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DOI: 10.1007/978-3-662-47044-2_10

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