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The Worst-Case DFT Filter Bank Design with Subchannel Variations

In: Optimization Methods, Theory and Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Lin Jiang & Changzhi Wu & Xiangyu Wang & Kok Lay Teo, 2015. "The Worst-Case DFT Filter Bank Design with Subchannel Variations," Springer Books, in: Honglei Xu & Song Wang & Soon-Yi Wu (ed.), Optimization Methods, Theory and Applications, edition 127, chapter 0, pages 183-205, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-47044-2_10
    DOI: 10.1007/978-3-662-47044-2_10
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