An iterative approach for minimax design of multidimensional quadrature mirror filters
Signal Processing(2011)
Abstract
In this paper, a nest of iterative techniques is proposed for the minimax design of quadrature mirror filter (QMF) banks. The method can be generalized such that multidimensional QMF banks can be designed by the proposed algorithm. For a given weighting function, an iterative method is used to minimize the objective error function in the inner iterations. To further reduce the peak error of overall magnitude response, an iterative weighting-updated technique is adopted in the outer iterations. Comparing with the existing works concern the design of perfect-reconstruction QMF banks, only one of the filters is needed to be designed under the cost of magnitude distortion, but the system complexity can be reduced drastically. Several examples, including design of 2-D and 3-D QMF banks, will be presented to demonstrate the effectiveness of the proposed method.
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Key words
two-channel filter bank,quadrature mirror filter (qmf) bank,minimax design,diamond-shaped filter,iterative weighted least-squares method,multidimensional digital filter,iterative approach,multirate system,multidimensional quadrature mirror filter,filter bank,quadrature mirror filter,digital filter,iteration method,weight function
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