%0 Journal Article
%T Optimization Design of 17/11 Biorthogonal Wavelet and Its Performance Analysis for Image Compression<br>17/11双正交小波的优化设计及其对图像压缩性能的分析
%A Liu Zai-de
%A Zheng Nan-ning
%A Liu Yue-hu
%A Yang Guo-an
%A Tian Li-hua
%A <br>刘在德
%A 郑南宁
%A 刘跃虎
%A 杨国安
%A 田丽华
%J 电子与信息学报
%D 2007
%I 
%X Many wavelet filter banks suitable for image coding, e.g. CDF-9/7, Winger-17/11 (W-17/11), Villasenor-6/10 and 10/18 (V-6/10 and V-10/18), have irrational coefficients, and thus require infinite computational precision to implement the corresponding Discrete Wavelet Transforms (DWT). Here a simple technique for parametrization construction of 17/11 biorthogonal wavelet family is presented: first, the associated synthesis filter is formulated as one trigonometric polynomial represented by two free parameters; then the perfect reconstruction condition of the filter bank is reduced to one system of linear equations; finally the analysis filter is obtained by solving this system of linear equations. Thus, the exact free parameter expressions for the 17/11 biorthogonal wavelet filter banks are derived. By adjusting the free parameters, one can easily construct any linear phase 17/11 filters (a pair) with desired features. As a case study, a previously unpublished 17/11 biorthogonal wavelet filter bank with rational coefficients is constructed, which has optimum coding gain. Extensive simulations show that the new filter bank has the compression performance comparable to that of W-17/11 and V-10/18 for image transform coding, while surpasses the CDF-9/7 and V-6/10 far away.
%K Image coding
%K Biorthogonal wavelet
%K Filter bank
%K Coding gain
%K Discrete Wavelet Transform (DWT)
%K Compression performance<br>图像编码
%K 双正交小波
%K 滤波器组
%K 编码增益
%K 离散小波变换
%K 压缩性能
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=B18EED357250E56D&yid=A732AF04DDA03BB3&vid=771469D9D58C34FF&iid=B31275AF3241DB2D&sid=B7E2CBA271D733FB&eid=7B26CB38602C6F44&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=4&reference_num=11