An iterative approach for minimax design of multidimensional quadrature mirror filters

作者：Shyu Jong Jy^*; Pei Soo Chang; Huang Yun Da

来源：Signal Processing, 2011, 91(8): 1730-1740.

DOI：10.1016/j.sigpro.2011.01.019

• Quadrature mirror filter (QMF) bank
• Two-channel filter bank
• Multirate system
• Multidimensional digital filter
• Iterative weighted least-squares method
• Diamond-shaped filter

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.

• 出版日期2011-8