An effective and efficient method for designing near perfect reconstruction low-order IIR QMF banks is presented in this paper. The QMF bank design problem is first converted to an equalizer design optimization problem and described in the polyphase representation, so the optimization variables are reduced by half, and significant reduction of computation load is achieved for high-order system. The QMF bank delay in the optimization problem is selected based on the result of a least square estimation problem. High-order optimal FIR solutions are then obtained by formulating the H/H/mixed-norm minimization problems in the linear matrix inequality framework. Finally, approximate low-order IIR solutions are obtained by applying balanced realization and model order reduction techniques.
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机译:本文提出了一种设计近似完美重构低阶IIR QMF库的有效方法。首先将QMF库设计问题转换为均衡器设计优化问题,并在多相表示中进行描述,因此优化变量减少了一半,并且大大降低了高阶系统的计算量。基于最小二乘估计问题的结果,选择优化问题中的QMF库延迟。然后,通过在线性矩阵不等式框架中制定H / H /混合范数最小化问题,获得高阶最优FIR解。最后,通过应用平衡实现和模型降阶技术获得近似的低阶IIR解。
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