基于加权最小二乘法的分数延时滤波器设计  被引量:2

Fractional Delay Filter Design Based on Weighted Least Square Method

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作  者:林文涛 贾玉博 张紫文 胡忞 易朋兴[1] LIN Wen-tao;JIA Yu-bo;ZHANG Zi-wen;HU Min;YI Peng-xing(School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区:[1]华中科技大学机械科学与工程学院,湖北武汉430074

出  处:《仪表技术与传感器》2023年第1期44-47,共4页Instrument Technique and Sensor

基  金:国家重点研发计划项目(2018YFB2003303)。

摘  要:相较于传统的可变分数延时滤波器无法满足延时的实时变化,Farrow结构延时滤波器因其独特的结构可以灵活地调整时延且不需重新设计滤波器系数。以加权最小二乘法作为分数延时滤波器系数配置的基本方法,通过建立离散加权平方误差函数对滤波器系数的配置进行理论推导。并设计一种最小化幅度响应最大绝对误差的迭代判断条件来确定权重函数,用以更新滤波器系数来实现滤波器性能的优化。Compared with the traditional variable fractional delay filter cannot satisfy the real-time change of delay,the Farrow structured delay filter can adjust the delay flexibly and does not need to redesign the filter coefficient due to its unique structure.The weighted least square method was determined as the basic method of fractional delay filter coefficient configuration,and the filter coefficient configuration was theoretically deduced by establishing discrete weighted square error function.An iterative judgment condition was designed to minimize the maximum absolute error of the amplitude response to determine the weight function,which was used to update the filter coefficients to optimize the filter performance.

关 键 词:分数延时FIR滤波器 FARROW结构 加权最小二乘法 

分 类 号:TN713[电子电信—电路与系统]

 

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