摘要
该文研究了滤波长度为4的双正交多尺度分析的一般构造.依据Lawton条件,通过解决一个线性代数问题,求出了其实滤波系数所在的范围,给出了一些构造的例子,并通过计算和分析这些小波用于图像压缩的熵和信噪比数据,研究了它们用于图像压缩的性能.
By Lawton's condition, it is known that whether two banks of filter coefficients can generate a pair of biorthonormal MRAs depends upon whether the eigenvalues of the so called transition operators defined by these filter coefficients are less than 1. Since such transition operators can be expressed equivalently by matrices, by computing the eigenvalues of the matrices, this paper discusses the conditions the filter coefficients satisfy such that they can generate a pair of biorthonormal MRAs. Therefore, the domains of the filter real coefficients which can generate biorthonormal MRAs and orthonormal MRAs are obtained. Finally, some examples of wavelet are given, and their validity applied to image compression is analyzed by calculating their entropy and peak signal-to-noise ratio. The results show that some wavelets are better than the famous Daubechies wavelet with filter length 4.
出处
《计算机学报》
EI
CSCD
北大核心
2002年第11期1184-1188,共5页
Chinese Journal of Computers
基金
本课题得到国家自然科学基金重点项目(69735020)
国家自然科学基金(19871095)
广东省自然科学基金(9902275)
广州市重大科技攻关项目(2000-Z-004-01)资助
