摘要
研究了基于Parseval框架的多小波子空间中的抽样定理.通过满足一定条件,给出抽样定理在多小波子空间中成立的等价条件.所得结果不仅推广了单小波子空间的抽样定理,而且抽样公式在L2(R)收敛意义下成立.
In this paper,the sampling theorem for frame in multiwavelet subspaces were in vestigated.an equivalent condition for the sampling theorem to hold in multiwavelet subspaces were given.The results generalize the sampling theorem in scalar wavelet subspace and is uniform convergence in L（2R）.
出处
《河南科学》
2010年第9期1074-1077,共4页
Henan Science
基金
国家自然科学基金项目资助(60802061)
河南省自然科学基金项目资助(102300410205)
