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H^2(I)空间中的离散小波变换 被引量:5

THE DISCRETE WAVELET TRANSFORM IN H^2(I) SPACE
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摘要 In this paper, a boundary scale function b(x) with a compact support is given,it improves a boundary scale function without the compact support in [1], then a multiresolution analysis (MRA) in (I) space is constructed and a discrete wavelet transform in H2(I) space which maps function’s sample values into the function’s wavelet coefficients is given, so that the wavelet interpolation function is obtained. In this paper, a boundary scale function b(x) with a compact support is given,it improves a boundary scale function without the compact support in [1], then a multiresolution analysis (MRA) in (I) space is constructed and a discrete wavelet transform in H2(I) space which maps function's sample values into the function's wavelet coefficients is given, so that the wavelet interpolation function is obtained.
机构地区 哈尔滨工业大学
出处 《计算数学》 CSCD 北大核心 1999年第2期209-214,共6页 Mathematica Numerica Sinica
基金 国家自然科学基金!19501010
关键词 离散小波变换 Sobdev空间 小波变换 多尺度分析 scale function with compact support, discrete warelet transform
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参考文献1

  • 1Cai W,J Numer Anal,1996年,3卷

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