Signal overcomplete representation and sparse decomposition based on redundant dictionaries
Chinese Science Bulletin(2005)
摘要
Decomposing a signal based upon redundant dictionaries is a new method for data representation on signal processing. It approximates a signal with an overcomplete system instead of an orthonormal basis to provide a sufficient choice for adaptive sparse decompositions. Replacing the original data with a sparse approximation can result in not only a higher compression ratio, but also greater flexibility in capturing the inherent structure of the natural signals with the redundancy of dictionaries. This paper gives an overview of a series of recent results in this field, and deals with the relationship between sparsity of signal decomposition and incoherence of dictionaries with BP and MP algorithms. The current and future challenges of the dictionary construction are discussed.
更多查看译文
关键词
overcomplete representation,redundant dictionary,sparse decomposition,Basis Pursuit (BP),Marching Pursuit (MP)
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要