非正交变换中的冗余

Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252) Pub Date : 2001-06-24 DOI:10.1109/ISIT.2001.936059

Pascal Frossard, Pierre Vandegheynst

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引用次数: 23

摘要

压缩效率主要取决于非正交信号分解所选择的过完备函数集的冗余度。冗余是字典设计的一个重要标准，字典的大小只提供了第一个指示，而不考虑原子的分布。本文给出了过完备函数集结构冗余的一个新的表述。结构冗余系数直接影响非正交变换在框架扩展或匹配追求中的能量压缩性能。

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Redundancy in non-orthogonal transforms

Compression efficiency is mainly driven by redundancy of the overcomplete set of functions chosen for non-orthogonal signal decompositions. Redundancy is an important criteria in the design of dictionaries, whose size only provides a first indication without however taking into account the distribution of the atoms. This paper provides a new formulation for the structural redundancy of an overcomplete set of functions. The structural redundancy factor directly drives the energy compaction properties of non-orthogonal transforms in frame expansion or matching pursuit.

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Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)

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