一种基于FRM的余弦调制滤波器组时域优化方法  

Time Domain Optimization Method Based on FRM Technique for Cosine Modulated Filter Banks

作　　者：成红庆[1] 许小东[1] 尼秀明 戴旭初[1] 

机构地区：[1]中国科学技术大学电子工程与信息科学系,合肥230027 [2]安徽创世科技有限公司,合肥230088

出　　处：《遥测遥控》2011年第4期47-54,共8页Journal of Telemetry,Tracking and Command

基　　金：国防预研基金资助项目(200906ZD04);安徽省自然科学基金资助项目(090412061)

摘　　要：为适应高速数据传输和宽带信道化滤波需求,设计大子带数的余弦调制滤波器组已成为当前研究的热点。为了进一步改善子带频谱特性,减小滤波器组重建误差,依据余弦调制滤波器组时域完全重建条件,提出一种基于频响掩蔽滤波技术的原型滤波器优化设计方法。分析原先关于原型滤波器时域完全重建约束条件及其阻带能量的直接表达形式,理论推导其关于FRM模型滤波器与掩蔽滤波器的间接形式,并设计一种基于SOCP的迭代优化算法。计算机仿真实验结果和分析表明,算法可在较低复杂度下设计通带平坦且具有锐截止频率特性的原型滤波器,在余弦调制滤波器组子带数目超过1000时仍然适用。To meet the requirements of high speed data transmission and broad band channelization filtering,there is a growing interest on the research of cosine-modulated filter banks(CMFB) with a large number of sub-bands.To further improve the sub-band spectrum characteristic and reduce the reconstruction error,this paper proposes an efficient optimization algorithm for the cosine-modulated filter banks prototype filter design based on the frequency-response masking(FRM) approach,according to the perfect reconstruction conditions in time domain.Based on the analysis of the direct expressions for the perfect reconstruction constraints conditions in time domain and stopband energy,and deducing their in-direct form with regard to base filter and masking filter of FRM,an iterative second-order cone-programming(SOCP) based algorithm is presented.Computer simulation results show that the proposed method leads to prototype filter with flat in-band response and sharp transition under the lower complexity.While the number of sub-band is more than 1000,the algorithm is still valid.

关 键 词：余弦调制滤波器组 频响掩蔽技术 二阶锥规划 

分 类 号：TN713[电子电信—电路与系统]