Discrete Inequalities on LCT

• 作者: Guanlei Xu Xiaogang Xu Xiaotong Wang
• 来源期刊: 信号与信息处理(英文)
• 学科: 数学
• 关键词: Linear CANONICAL TRANSFORM (LCT) Uncertainty INEQUALITY
• 年，卷（期）: 2015,（2）
• 页码范围: 146-152
• 页数: 7页
• 分类号: O1

摘要

Linear canonical transform (LCT) is widely used in physical optics, mathematics and information processing. This paper investigates the generalized uncertainty principles, which plays an important role in physics, of LCT for concentrated data in limited supports. The discrete generalized uncertainty relation, whose bounds are related to LCT parameters and data lengths, is derived in theory. The uncertainty principle discloses that the data in LCT domains may have much higher concentration than that in traditional domains.