基于零空间正交投影有限长单位脉冲响应数字陷波器的设计  

Finite Impulse Response Digital Notch Filter Design Based onZero-space Orthogonal Projection

作　　者：陈杰 胡伟[2] CHEN Jie;HU Wei(School of Electronic Engineering,Xihang University,Xi′an 710077,China;National Key Laboratory on Microwave Science and Technology and Antenna,Xidian University,Xi′an 710071,China)

机构地区：[1]西安航空学院电子工程学院,西安710077 [2]西安电子科技大学微波技术与天线国家重点实验室,西安710071

出　　处：《西安航空学院学报》2025年第1期60-64,78,共6页Journal of Xi’an Aeronautical Institute

摘　　要：为克服采用传统设计方法设计的单阶陷波器衰减较小,采用多阶级联陷波器耗费数字处理资源较多且造成其阻带带宽展宽等缺陷,提出了一种新的基于零空间正交投影的有限长单位脉冲响应数字陷波器设计方法,并推导了基于零空间正交投影的有限长单位脉冲响应数字陷波器设计公式,简要说明了其理论依据和设计过程。基于MATLAB平台仿真了两种有限长单位脉冲响应数字陷波器的设计。结果表明,在零陷位置和带宽符合要求的前提下,与采用最小二乘法和改进最小二乘法相较而言,采用所提方法设计的陷波器所得的幅频特性曲线的零陷衰减非常明显,设计的单阶滤波器的零陷衰减得以明显提升。To address the limitations of conventional design methods for single-stage notch filters,which exhibit insufficient attenuation,and multi-stage cascaded notch filters,which consume excessive digital processing resources and cause a wider bandwidth,this study proposes a novel design method for finite impulse response(FIR)digital notch filters based on zero-space orthogonal projection,and the design formula is rigorously derived,and its theoretical basis and design process are briefly described.Simulations of two FIR digital notch filter designs are conducted on the MATLAB platform.The results show that under the premise that the zero-notch position and bandwidth meet the requirements,and compared with the least square method and the improved least square method,the zero-notch attenuation of the amplitude-frequency characteristic curve obtained by the notch filter designed with the proposed method is very obvious,and the zero-notch attenuation of the single-stage filter designed is significantly improved.

关 键 词：数字陷波器 正交投影 矩阵零空间 矩阵列空间 

分 类 号：TN911.7[电子电信—通信与信息系统]