Global optimum design of uniform FIR filter bank with magnitude constraints

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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