用McClellan变换设计N维球对称FIR滤波器

用McClellan变换设计N维球对称FIR滤波器 The Design of N-D Spherically Symmetric FIR Filters via the McClellan Transformation 李吉星 LI Ji-xing 1 2 first-author 胡兆玲 HU Zhao-ling 1 2 朱涛 ZHU Tao 1 2 武汉大学电子信息学院 武汉大学电子信息学院 School of Electronic Information,Wuhan University School of Electronic Information,Wuhan University 武汉大学电子信息学院,湖北,武汉,430072 武汉大学电子信息学院,湖北,武汉,430072 将McClellan变换法从三维推广到N维,进而提出一种N维球对称FIR滤波器的设计方法,并且推导出N维情况下确定变换函数系数的公式.经过严密的推理证明和举例验证,所得结果完全满足约束条件,具有良好的对称性,从而大大的简化了N维球对称FIR滤波器设计中的计算量. Improves the design of spherically symmetric FIR filters via the McClellan transformation by exploiting the 3-D effective methods in N-D. A method of designing N-D spherically symmetric FIR filters is presented and a formula to determine the transformation parameters is given. The total analyses and two examples demonstrate the effectiveness of the method. It is obviously saving much calculation in the design of N-D spherically symmetric FIR filters. McClellan变换 N维球对称FIR滤波器 旋转对称性 McClellan transformation N-D spherically symmetric FIR filters rotative symmetry TN713.7 国家重点实验室基金资助项目（WKL10070401） 2002-03-01 2021-04-01 3