Commuting operator of offset linear canonical transform and its applications

Soo-Chang Pei; Shih-Gu Huang

ICASSP 2016accepted0 citations

Commuting operator of offset linear canonical transform and its applications

Abstract

Linear canonical transform (LCT) is an attractive and useful tool in optics and signal processing. In previous work, a generalization of the LCT with two extra parameters, called offset LCT (OLCT), has been developed. In this paper, a different definition of OLCT is proposed, which has a more concise form of inverse transform. We find a linear operator that commutes with the proposed OLCT. We prove that the commuting operator and the proposed OLCT have the same set of eigenfunctions with different eigenvalues. We also derive the discrete version of the commuting operator to develop a discrete OLCT. The proposed discrete OLCT has perfect reversibility property.

BibTeX

@inproceedings{icassp2016_commutingoperato,
  title = {Commuting operator of offset linear canonical transform and its applications},
  author = {Soo-Chang Pei and Shih-Gu Huang},
  booktitle = {ICASSP 2016},
  year = {2016}
}