- Title
- Global optimum design of uniform FIR filter bank with magnitude constraints
- Creator
- Wu, Changzhi; Teo, Kok Lay; Rehbock, Volker; Dam, Haihuyen
- Date
- 2008
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/103185
- Identifier
- vital:10882
- Identifier
-
https://doi.org/10.1109/TSP.2008.927803
- Identifier
- ISSN:1053587X
- Abstract
- The optimum design of a uniform finite impulse response filter bank can be formulated as a nonlinear semi-infinite optimization problem. However, this optimization problem is nonconvex with infinitely many inequality constraints. In this paper, we propose a new hybrid approach for solving this highly challenging nonlinear, nonconvex semi-infinite optimization problem. In this approach, a gradient-based method is used in conjunction with a filled function method to determine a global minimum of the problem. This new hybrid approach finds an optimal result independent of the initial guess of the solution. The method is applied to some existing examples. The results obtained are superior to those obtained by other existing methods. © 2008 IEEE.
- Relation
- IEEE Transactions on Signal Processing Vol. 56, no. 11 (2008), p. 5478-5486
- Rights
- Copyright IEEE
- Rights
- This metadata is freely available under a CCO license
- Subject
- Constraint transcription; Filled function; Finite impulse response (FIR) filter bank; Global optimization
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