TITLE:
Discrete Inequalities on LCT
AUTHORS:
Guanlei Xu, Xiaotong Wang, Xiaogang Xu
KEYWORDS:
Linear Canonical Transform (LCT), Uncertainty Inequality
JOURNAL NAME:
Journal of Signal and Information Processing,
Vol.6 No.2,
May
15,
2015
ABSTRACT: 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.