摘要
为设计频谱性能优良的有限冲激响应(FIR)数字带通滤波器,从窗函数的性质及选择指标出发,分析了椭圆球面波函数(PSWF)作为窗函数的优势;在此基础上根据数字滤波器设计的原理和要求,选择0阶基带椭圆球面波函数作为窗函数设计数字带通滤波器,并利用微分方程状态转移矩阵逼近的PSWF求解算法,给出了基于PSWF的FIR数字带通滤波器设计方法。理论分析和仿真结果表明:PSWF数字带通滤波器具有较低的设计复杂度,与Kaiser滤波器和Blackman滤波器相比,其旁瓣衰减有超过7 d B的优势,且具有与两种滤波器相当的通带波纹波动和过渡带宽。
In order to design Finite Impulse Response( FIR) digital bandpass filters with excellent frequen-cy spectrum,the superiority of prolate spheroidal wave functions( PSWF) to window function is analyzed according to the properties and indexes of window function,PSWFs are solved based on state transition ma-trix approximation,and zero-order baseband is used as window function. On this basis,a method for desig-ning digital bandpass filter based on PSWF is presented. Theoretical analysis and simulation show that PSWF digital filter of bandpass possesses low design complexities,and it owns superiority more than 7 dB in sidelobe fading compared with Kaiser filter and Blackman filter, while the passband ripple and transition band are equal.
出处
《电讯技术》
北大核心
2016年第2期176-182,共7页
Telecommunication Engineering
基金
山东省"泰山学者"建设工程专项(ts20081130)~~
关键词
数字带通滤波器设计
椭圆球面波函数
窗函数
状态转移矩阵
旁瓣衰减
digital bandpass filter design
prolate spheroidal wave functions
windows function
state transition matrix
sidelobe fading
