基于一维PCA-EIR技术的二维SVD-FIR滤波器设计  

2D SVD-FIR filter design based on 1D PCA-EIR technique

作　　者：王浩[1] 包永强[2] 奚吉[1] 赵力[1] 邹采荣[1] 

机构地区：[1]东南大学水声信号处理教育部重点实验室,南京210096 [2]南京工程学院通信工程学院,南京210093

出　　处：《东南大学学报（自然科学版）》2013年第2期247-251,共5页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(51075068;60872073;60975017);教育部博士点基金资助项目(20110092130004);江苏省高校自然科学基金资助项目(10KJB510005)

摘　　要：为了减少2D有限冲击响应(FIR)滤波器的硬件执行复杂度,采用基于主成分分析(PCA)的1D外插脉冲响应(PCA-EIR)滤波器设计技术,合成了基于奇异值分解(SVD)的2D FIR(2DSVD-FIR)滤波器系统中的所有1D FIR子滤波器.在不影响2D FIR滤波器频率响应指标的前提下,如果1D EIR技术所合成的1D FIR子滤波器的硬件执行复杂度低于原型1D FIR子滤波器的硬件执行复杂度,则前者可替代后者;反之,原型1D FIR子滤波器保持不变.仿真结果表明,在不影响2D FIR滤波器频率响应性能的前提下,与传统的2D SVD-FIR滤波器设计相比,采用1DPCA-EIR技术设计2D冲击响应矩阵SVD-FIR滤波器和2D频率响应矩阵SVD-FIR滤波器,可使其硬件执行分别减少8.85%和7.37%的乘法器,而加法器则分别减少13.15%和13.19%.由此可知,1D PCA-EIR技术可用于合成任意1D FIR滤波器.In order to reduce the hardware implementation complexity of two-dimensional （2D） fi- nite impulse response （FIR） filters, a principal-component-analysis （PCA） based one-dimensional （1D） extrapolated impulse response （1D PCA-EIR）filter design technique is used to synthesize the 1D FIR sub-filters of singular-value-decomposition （SVD） based 2D FIR （2D SVD-FIR） filters. Provided that the frequency response performance metrics of the designed 2D FIR filter are not af- fected, if the hardware implementation complexity of the synthesized 1D FIR sub-filter by EIR tech- nique is less than that of the prototype 1D FIR sub-filter, the synthesized sub-filter can be substituted for the prototype sub-filter; otherwise, the prototype sub-filter keeps unchanged. The simulation re- suits show that provided the frequency response performances are not affected, the hardware imple- mentation complexities of the 2D impulse response matrix SVD-FIR filter and the 2D frequency re- sponse matrix SVD-FIR filter can be reduced by employing the 1D PCA-EIR technique. The num- bers of the multipliers required can be reduced by 8.85 % and 7.37 % for the 2D impulse response matrix SVD-FIR filter and the 2D frequency response matrix SVD-FIR filter, respectively. And the numbers of the adders required can be reduced by 13.15% and 13.19, respectively. Therefore, the 1D PCA-EIR technique can be used to synthesize any 1D FIR filter.

关 键 词：外插脉冲响应滤波器 有限冲击响应滤波器 奇异值分解 低复杂度滤波器 

分 类 号：TN713[电子电信—电路与系统]