Optimal Design of Oversampled Synthesis FBs With Lattice Structure Constraints
Optimal Design of Oversampled Synthesis FBs With Lattice Structure Constraints
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DOI：
10.1109/tsp.2011.2147783
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发表时间：
2011-08
影响因子：
5.4
通讯作者：
Li Chai;Jingxin Zhang;Yuxia Sheng
中科院分区：
文献类型：
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作者：
Li Chai;Jingxin Zhang;Yuxia Sheng
过采样滤波器组采用格型结构，实现速度快，保证了滤波器组的线性相位和良好的重构特性。对于这样的FB，合成FB不是唯一的。这种非唯一性为许多应用中所需的子带噪声的最佳降低提供了额外的设计自由度。然而，现有的设计方法的合成FB的子带噪声的最佳降低不能保证线性相位和晶格结构的性质。本文研究了保证格型结构的过采样合成滤波器的设计，以最佳地降低子带噪声。基于状态空间参数化的晶格结构的所有合成FB，显式公式推导出找到最佳的解决方案，以减少噪音。数值例子证明了新的设计方法的有效性。
Oversampled filter banks (FBs) with lattice structure allow fast implementation and guarantee the linear phase and perfect reconstruction property. For such FBs, the synthesis FB is not unique. This nonuniqueness provides extra design freedom for optimal reduction of subband noise required in many applications. However, the existing design methods of synthesis FB for optimal reduction of subband noise cannot guarantee the linear phase and lattice structure property. This paper studies the design of oversampled synthesis FBs with guaranteed lattice structure for optimal reduction of subband noise. Based on a state space parameterization of all synthesis FBs with lattice structure, the explicit formulae are derived to find the optimal solution for noise reduction. Numerical examples are presented to demonstrate the effectiveness of the new design methods obtained.