【摘 要】
：
In this paper, we present a quotient space approximation model of multiresolution signal analysis and discuss the properties and characteristics of the model. T
【机 构】
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Artificial Intelligence Institute,State Key Lab of Intelligent Technology and Systems
【基金项目】
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国家重点基础研究发展计划(973计划);国家自然科学基金;国家重点基础研究发展计划(973计划)
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In this paper, we present a quotient space approximation model of multiresolution signal analysis and discuss the properties and characteristics of the model. Then the comparison between wavelet transform and the quotient space approximation is made. First, when wavelet transform is viewed from the new quotient space approximation perspective, it may help us to gain an insight into the essence of multiresolution signal analysis. Second, from the similarity between wavelet and quotient space approximations, it is possible to transfer the rich wavelet techniques into the latter so that a new way for multiresolution analysis may be found.
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