计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (3): 141-144.DOI: 10.3778/j.issn.1002-8331.2009.03.042

• 数据库、信号与信息处理 • 上一篇    下一篇

基于余弦调制的二维LP-NPR滤波器组设计

朱建东1,王小龙2   

  1. 1.西安电子科技大学 理学院 数学系,西安 710071
    2.西安电子科技大学 雷达信号处理国家重点实验室,西安 710071
  • 收稿日期:2008-07-07 修回日期:2008-10-16 出版日期:2009-01-21 发布日期:2009-01-21
  • 通讯作者: 朱建东

Design for two dimensional LP-NPR filter banks based on cosine modulation

ZHU Jian-dong1,WANG Xiao-long2   

  1. 1.Department of Mathematics,School of Science,Xidian University,Xi’an 710071,China
    2.Key Laboratory for Radar Signal Processing,Xidian University,Xi’an 710071,China
  • Received:2008-07-07 Revised:2008-10-16 Online:2009-01-21 Published:2009-01-21
  • Contact: ZHU Jian-dong

摘要: 二维滤波器组通常用于图像处理中,而图像子带编码希望滤波器组同时也具有线性相位(LP)特性。提出了一种基于一类新余弦调制系统的二维线性相位-近似完全重构(LP-NPR)滤波器组的设计方法,设计过程分为两个步骤:首先采用Parks-McClellan算法来计原型滤波器,再经过余弦调制能到一系列的线性相位分析和综合滤波器,从而可以构造一维LP-NPR滤波器组;然后利用树状结构来结合两个一维LP-NPR滤波器组,并运用单位模变换,可以得到二维不可分离LP-NPR滤波器组。实验结果表明此方法是可行的,所设计的滤波器组可达到令人满意的重构精度。

Abstract: Two dimensional filter banks are usually applied to image processing.Linear Phase (LP) property of filter banks is also desired in sub-band image coding.In this paper,a design method of two dimensional Linear Phase Nearly Perfect Reconstruction(LP-NPR) filter banks based on a new class of cosine modulation systems is presented,which can be described as follow: firstly,the Parks-McClellan algorithm is adopted for designing the prototype filter,then by employing cosine modulation,a series of analysis and synthesis filters can be obtained,accordingly a one-dimensional LP-NPR filter banks can be constructed;Secondly,cascading two one-dimensional LP-NPR filter banks in the form of tree structure and using the unimodular transformation,a two dimensional nonseparable LP-NPR filter banks can be obtained.Experimental results indicate the proposed method is feasible,and the designed filter banks can obtain the satisfying reconstructive precision.