窗函数的奇数阶约束问题探讨

Odd Order Restriction on Window-Function

本文明确了经典FIR滤波器的窗函数法中窗函数的奇数阶约束问题:在定采样率数字信号处理系统中,窗函数法设计的线性相位FIR数字滤波器必然为第一类线性相位数字滤波器,阶数N必须为奇数,并阐明了该结论适用于高维滤波器设计。

Digital Signal Process is an important primary class in electronic and information majorities.FIR DF design is a key part that must be lectured.A new conclusion is proposed and proved by theoretical deduction:the length of the FIR DF designed by window-function must be odd,and the FIR DF must be a class one linear phase filter.The conclusion solved the inconsistency which exists between different texture books,and improved the theory on digital filter design which would benefit the students and designers.