具有重构特性的原型滤波器的设计
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摘要
针对传统单参数优化法设计的原型低通滤波器存在设计复杂,性能不理想的问题,提出了一种利用窗函数截取平方根升余弦函数获取滤波器系数的设计方法。该方法将具有功率互补特性的平方根升余弦函数作为原型函数,通过迭代算法来确定滤波器长度,进而利用窗函数设计原型低通滤波器。仿真结果表明,该方法设计的原型滤波器的阻带衰减达到了-116dB,滤波器组的重构误差在5×10-4 dB以内,性能优于传统单参数法设计的滤波器组,具有良好的重构特性。
In view of the critical shortcomings of the filter bank with traditional single parameter optimization,such as design complexity and unsatisfactory performance,a new approach that uses window function to intercept square root raised cosine function to obtain filter coefficients is proposed to design a bank of prototype filters.The square-root raised cosine function with power complementary property is used as a prototype function and the length of filter is determined by iteration.The simulation results show that the prototype filter designed by windowing has a stopband attenuation of-116 dB,and the reconstruction error of the filter bank is within 5×10~(-4) dB.The performance is better than the traditional single-parameter method.
In view of the critical shortcomings of the filter bank with traditional single parameter optimization,such as design complexity and unsatisfactory performance,a new approach that uses window function to intercept square root raised cosine function to obtain filter coefficients is proposed to design a bank of prototype filters.The square-root raised cosine function with power complementary property is used as a prototype function and the length of filter is determined by iteration.The simulation results show that the prototype filter designed by windowing has a stopband attenuation of-116 dB,and the reconstruction error of the filter bank is within 5×10~(-4) dB.The performance is better than the traditional single-parameter method.
引文
[1]杨宏飞.宽带数字侦察接收机技术研究[D].西安:西安电子科技大学,2015.
[2]胡君朋.宽带无线信号侦测中的动态信道化技术研究[D].长沙:国防科学技术大学,2016.
[3]邵凯,计翔,庄陵,等.认知无线电系统中调制滤波器组的设计[J].计算机应用,2014,34(2):329-332.
[4]杨玉琳,蒋俊正.近似完全重构的DFT调制滤波器组迭代设计方法[J].桂林电子科技大学学报,2018,38(1):7-11.
[5]朱坤伦,孙鹏.无源滤波器参数优化设计方法的研究[C]∥第十三届沈阳科学学术年会,沈阳:[出版者不详],2016.
[6]张天骐,谭方青,高春霞,等.一种新的窗函数法设计余弦调制滤波器组系统[J].系统工程与电子技术,2011,33(12):2737-2742.
[7]DATAR A,JAIN A,SHARMA P C.Performance of Blackman Window Family in M-Channel Cosine Modulated Filter Bank for ECG Signals[C]∥2009International Multimedia,Signal Processing and Communication Technologies,Aligarh,India:IEEE,2009:98-101.
[8]王光宇.多速率数字信号处理和滤波器组理论[M].北京:科学出版社,2013.
[2]胡君朋.宽带无线信号侦测中的动态信道化技术研究[D].长沙:国防科学技术大学,2016.
[3]邵凯,计翔,庄陵,等.认知无线电系统中调制滤波器组的设计[J].计算机应用,2014,34(2):329-332.
[4]杨玉琳,蒋俊正.近似完全重构的DFT调制滤波器组迭代设计方法[J].桂林电子科技大学学报,2018,38(1):7-11.
[5]朱坤伦,孙鹏.无源滤波器参数优化设计方法的研究[C]∥第十三届沈阳科学学术年会,沈阳:[出版者不详],2016.
[6]张天骐,谭方青,高春霞,等.一种新的窗函数法设计余弦调制滤波器组系统[J].系统工程与电子技术,2011,33(12):2737-2742.
[7]DATAR A,JAIN A,SHARMA P C.Performance of Blackman Window Family in M-Channel Cosine Modulated Filter Bank for ECG Signals[C]∥2009International Multimedia,Signal Processing and Communication Technologies,Aligarh,India:IEEE,2009:98-101.
[8]王光宇.多速率数字信号处理和滤波器组理论[M].北京:科学出版社,2013.