Wave Packet Frame in Two Dimensions in General Lattices

2018 5th International Conference on Advanced Composite Materials and Manufacturing Engineering

Wu, Guochang^1 ; Wang, Lanfeng^2

School of Arts and Science, Sias International College of Zhengzhou University, Xinzheng

451150, China^1

School of Mathematics and Statistics, Anyang Normal University, Anyang

455000, China^2

关键词: Engineering applications;    Frame theory;    Sampling theory;    Two-dimension;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/394/5/052083/pdf
DOI  :  10.1088/1757-899X/394/5/052083

来源: IOP

【 摘 要 】

Frame theory is a useful tool for many engineering applications such as in signal processing, image processing, data compression and sampling theory. In this paper, symmetric wave packet frames with several generators about general shift lattices in two dimensions are constructed from any frames given, which generalizes the existing results to the case of general shift lattices.