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2015 | OriginalPaper | Chapter

10. The Worst-Case DFT Filter Bank Design with Subchannel Variations

Authors : Lin Jiang, Changzhi Wu, Xiangyu Wang, Kok Lay Teo

Published in: Optimization Methods, Theory and Applications

Publisher: Springer Berlin Heidelberg

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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.

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previous chapter Exact Regularization, and Its Connections to Normal Cone Identity and Weak Sharp Minima in Nonlinear Programming
Appendix
Available only for authorised users
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Metadata
Title
The Worst-Case DFT Filter Bank Design with Subchannel Variations
Authors
Lin Jiang
Changzhi Wu
Xiangyu Wang
Kok Lay Teo
Copyright Year
2015
Publisher
Springer Berlin Heidelberg
Book
Optimization Methods, Theory and Applications

Print ISBN: 978-3-662-47043-5

Electronic ISBN: 978-3-662-47044-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-662-47044-2_10