Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval
Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval
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DOI：
10.1016/j.sigpro.2010.02.004
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发表时间：
2010-07-01
影响因子：
4.4
通讯作者：
Xu, Zhiqiang
中科院分区：
文献类型：
--
作者：
Rebollo-Neira, Laura;Xu, Zhiqiang
在稀疏信号表示的背景下，讨论了紧区间上的非均匀B-样条词典。对于每个给定的剖分，通过将剖分划分为子分区并将伴随子空间的基连接在一起，建立了对应于相应样条空间的B-Spline函数的字典。由此产生的略微冗余的词典由具有比相同空间的B样条基对应的B样条基更广泛的支持度的B样条基组成。这样的字典旨在通过逐步优化贪婪技术的组合来帮助构建自适应稀疏信号表示。(C)2010爱思唯尔B.V.保留所有权利。
Non-uniform B-spline dictionaries on a compact interval are discussed in the context of sparse signal representation. For each given partition, dictionaries of B-spline functions for the corresponding spline space are built up by dividing the partition into subpartitions and joining together the bases for the concomitant subspaces. The resulting slightly redundant dictionaries are composed of B-spline functions of broader support than those corresponding to the B-spline basis for the identical space. Such dictionaries are meant to assist in the construction of adaptive sparse signal representation through a combination of stepwise optimal greedy techniques. (C) 2010 Elsevier B.V. All rights reserved.