TITLE:
Support-Limited Generalized Uncertainty Relations on Fractional Fourier Transform
AUTHORS:
Xiaotong Wang, Guanlei Xu
KEYWORDS:
Discrete Fractional Fourier Transform (DFRFT), Uncertainty Principle, Frequency-Limiting Operator
JOURNAL NAME:
Journal of Signal and Information Processing,
Vol.6 No.3,
August
21,
2015
ABSTRACT: This paper investigates the generalized
uncertainty principles of fractional Fourier transform (FRFT) for concentrated
data in limited supports. The continuous and discrete generalized uncertainty
relations, whose bounds are related to FRFT parameters and signal lengths, were
derived in theory. These uncertainty principles disclose that the data in FRFT
domains may havemuch higher concentration than that in traditional
time-frequency domains, which will enrich the ensemble of generalized
uncertainty principles.