Uncertainty principle and orthogonal condition for the short-time linear canonical transform

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• 作者：Lei Huang ; Ke Zhang ; Yi Chai ; Shuiqing Xu
• 刊名：Signal, Image and Video Processing
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：10
• 期：6
• 页码：1177-1181
• 全文大小：383 KB
• 刊物类别：Engineering
• 刊物主题：Signal,Image and Speech Processing
  Image Processing and Computer Vision
  Computer Imaging, Vision, Pattern Recognition and Graphics
  Multimedia Information Systems
  
• 出版者：Springer London
• ISSN：1863-1711
• 卷排序：10

文摘

The short-time linear canonical transform (STLCT) is a novel time–frequency analysis tool, which maps the time domain signal into the joint time and frequency domain. This short paper investigates its two theoretical problems. The first one relates to the uncertainty principle in one STLCT domain, and the other one is that coefficients of the short-time linear canonical expansion (STLCE) are of incompleteness. To solve these issues, first, we develop the uncertainty principle in one STLCT domain. Second, the orthogonal condition is proposed to guarantee the completeness of the STLCE coefficients.KeywordsLinear canonical transformShort-time linear canonical transformUncertainty principleOrthogonal condition