%0 Journal Article
%T Determining the Local Singularity Exponents and Spectrum of the Fractal Function<br>确定分形函数的局部奇异性指数及其谱
%A Wang Zhao-rui
%A Nakamura Taketsune
%A <br>王兆瑞
%A 吕善伟
%A 中村武恒
%J 电子与信息学报
%D 2008
%I 
%X Traditional partition function-based multifractal formalism provides only global estimates of singularity exponents, no local information is offered. However, it is more important to recover the local singularity. A novel algorithm for determining the local singularity exponents is proposed, which provides the local scaling information of interest, whilst a singularity-spectrum-like histogram is constructed to describe the global statistical distribution of the local singularity strengths. The validity is verified by numerical experiment.
%K Singularity spectrum
%K Local Holder exponents
%K Wavelet transform<br>奇异性谱
%K 局部H(o)lder指数
%K 小波变换
%K 分形函数
%K 局部
%K 奇异性指数
%K Fractal
%K Function
%K Spectrum
%K Singularity
%K 有效性
%K 试验验证
%K 数字
%K 统计分布
%K 信号奇异性
%K 直方图
%K 种类
%K 构造
%K 算法
%K 应用
%K 信息
%K 描述
%K 多分形
%K 配分函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=2AC55FDC2717B4438B6507A285A171A3&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=0B39A22176CE99FB&sid=211C7E02AC474301&eid=8BB50A069C48D50B&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=9