TY - JOUR
T1 - Uncertainty principles for the windowed offset linear canonical transform
AU - Gao, Wen Biao
AU - Li, Bing Zhao
N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - The windowed offset linear canonical transform (WOLCT) can be identified as a generalization of the windowed linear canonical transform (WLCT). In this paper, we generalize several different uncertainty principles for the WOLCT, including Heisenberg uncertainty principle, Hardy's uncertainty principle, Donoho-Stark's uncertainty principle and Nazarov's uncertainty principle. Finally, as application analogues of the Poisson summation formula and sampling formulas are given.
AB - The windowed offset linear canonical transform (WOLCT) can be identified as a generalization of the windowed linear canonical transform (WLCT). In this paper, we generalize several different uncertainty principles for the WOLCT, including Heisenberg uncertainty principle, Hardy's uncertainty principle, Donoho-Stark's uncertainty principle and Nazarov's uncertainty principle. Finally, as application analogues of the Poisson summation formula and sampling formulas are given.
KW - Linear canonical transform
KW - offset linear canonical transform
KW - uncertainty principle
KW - windowed linear canonical transform
KW - windowed offset linear canonical transform
UR - http://www.scopus.com/inward/record.url?scp=85120791734&partnerID=8YFLogxK
U2 - 10.1142/S0219691321500429
DO - 10.1142/S0219691321500429
M3 - Article
AN - SCOPUS:85120791734
SN - 0219-6913
VL - 20
JO - International Journal of Wavelets, Multiresolution and Information Processing
JF - International Journal of Wavelets, Multiresolution and Information Processing
IS - 1
M1 - 2150042
ER -