低复杂度FIR数字滤波器设计方法

Low Complexity Finite Impulse Response Filter Design

FIR滤波器具有绝对稳定性和线性相位的优势,然而当对滤波器的频域性能要求较高时,FIR滤波器通常需要很高的阶数,这使得FIR滤波器硬件执行的复杂度很高。为降低FIR滤波器的硬件执行复杂度,诸多研究者进行了探索。文章对低复杂度FIR滤波器设计方法进行研究,着重介绍比较典型的频率响应罩设计方法、外插脉冲响应设计方法和基于压缩感知的设计方法。

The primary advantages of a finite impulse response filter （FIR） are guaranteed stability and exactly linear phase response, and it has a wide application in signal processing. However, the hardware implementation complexity of a FIR filter is high, especially when considering stringent frequency domain performance requirements. For lessening the hardware implementation complexity of an FIR filter, several design techniques have been developed. The frequency response masking （FRM） filter design, the low-complexity FIR filter design based on compressed sensing and the extrapolated impulse response （EIR） filter design are the three typical ones among them. The introduction of the low-complexity FIR filter design methods is presented in this paper. And much emphasis is laid upon the three typical design methods.