近似完全重构IIR余弦调制滤波器组的优化设计

提出一种新的近似完全重构因果稳定的IIR余弦调制滤波器组的设计方法。基于预先给定的极点值,IIR原型滤波器的设计问题可以简化成一个凸极大值极小化的优化问题,从而采用二阶锥规划法求解。所得余弦调制滤波器组具有良好的频率特性和合理的完全重构误差。所设计的原型滤波器是因果稳定的,并且其多相因子分母相同,简化了完全重构条件,可以用来进一步优化得到的完全重构系统。

Optimized Design of Nearly-Perfect Reconstruction IIR Cosine Modulated Filter Banks

An efficient method is proposed for designing nearly perfect reconstruction（NPR） cosine modulated filter banks（CMFBs） with IIR prototype filters.Based on some given poles values,the design problem is formulated as a convex minimax optimization problem,and solved by second order core programming（SOCP） .The obtained NPR IIR CMFB has good frequency performance and a reasonably low reconstruction error.The proposed IIR prototype filter is causal and stable,and its polyphase components have identical denominator to simplify the perfect reconstruction（PR） condition.Thus,the proposed NPR CMFBs can be further optimized to obtain PR systems.