一维零相位滤波器组的优化设计法

Design of 1-D Zero-phase Filter Banks With Optimization Method

滤波器组理论是子带编码的基础，因而，滤波器组的设计非常重要。本文介绍了一种可以设计零相位滤液器组的方法，克服了以往的方法只能设计非零相位滤波器组的缺点，为利用MoClellan变换法设计二维滤波器组提供了可能。通过实验验证，利用该方法设计滤波器，可以容易地控制滤波器的性能，设计也比较简单，而且所设计的滤波器能够以较小的误差重建原始信号。可以认为，这是一种较为理想的滤波器设计方法。

This paper is focused on the design of filter banks with linear phase and odd length,for rninimizing the reconstruction errors.Frequency response of a half band filter in transition band is used as the input values.The chebyshev approximation techniques are uesd.Exprements show that the reconstruction errorsare very small and characteristics of filters under consideration are good enough.Therebore a zerophase can be obtained.This method may be used along with McClellan transformation to design 2-D filter banks.