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多项式系统与紧支撑实系数正交小波的构造
  • ISSN号：1000-2367
  • 期刊名称：《河南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]河南师范大学数学与信息科学学院,河南新乡453007
  • 相关基金：国家自然科学基金（11171092）; 河南师范大学青年科学基金（01016400003;2011QK02）
作者： 姚素霞[1], 程维新[1], 焦淑云[1], 陈永强[1]
关键词： 尺度函数, 小波函数, 滤波器, 多分辨分析, 紧支撑, scale function, wavelets function filte, multi-resolution-analysis, compact support
中文摘要：

Daubechies通过应用著名的Riesz引理,证明了支集为[0,N]的正交小波的存在性,并对几个给出了具体的小波.主要应用多项式系统研究了实系数正交小波的构造,并获得了某支集所有实系数正交小波的构造方法.

英文摘要：

Daubechies has beared out the existence of orthogonal wavelets with supports in by applying noted Riesz lemma and presented concrete wavelets for some N.This paper discusses construction of orthogonal wavelets with real coefficients,and has obtained construction method of orthogonal wavelets with real coefficients.

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期刊信息
  • 《河南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:河南师范大学
  • 主办单位:河南师范大学
  • 主编：王记录
  • 地址：河南省新乡市建设东路46号
  • 邮编：453007
  • 邮箱：
  • 电话：0373-3329394 3329272
  • 国际标准刊号：ISSN：1000-2367
  • 国内统一刊号：ISSN：41-1109/N
  • 邮发代号:36-55
  • 获奖情况:
  • 国家新闻出版局、国家科委优秀学报奖,河南省科委、河南省教委优秀学报
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,英国农业与生物科学研究中心文摘,德国数学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:7535