Hankel tensor approximation using structured approach
international conference on information technology(2020)
摘要
The Hankel tensor is an important tool in the field of signal processing, and the low-rank approximation of the Hankel tensor can be used for signal restoration. Aiming at the low rank approximation problem of real Hankel tensor, this paper proves that there is a special form of Vandermonde decomposition for real Hankel tensor. Based on this form of decomposition, a low-rank approximation algorithm is proposed, which can ensure that the result of the approximation is still real Hankel tensor. This paper confirms that the algorithm can solve the optimal Vandermonde rank-one approximation and Vandermonde decomposition, and uses signal denoising as examples to illustrate the effectiveness of the algorithm.
更多查看译文
关键词
Hankel tensor,Vandermonde decomposition,low rank approximation,signal processing
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