PMID- 27906273 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20180108 LR - 20181023 IS - 1520-8532 (Electronic) IS - 1084-7529 (Linking) VI - 33 IP - 12 DP - 2016 Dec 1 TI - Random discrete linear canonical transform. PG - 2470-2476 LID - 10.1364/JOSAA.33.002470 [doi] AB - Linear canonical transforms (LCTs) are a family of integral transforms with wide applications in optical, acoustical, electromagnetic, and other wave propagation problems. In this paper, we propose the random discrete linear canonical transform (RDLCT) by randomizing the kernel transform matrix of the discrete linear canonical transform (DLCT). The RDLCT inherits excellent mathematical properties from the DLCT along with some fantastic features of its own. It has a greater degree of randomness because of the randomization in terms of both eigenvectors and eigenvalues. Numerical simulations demonstrate that the RDLCT has an important feature that the magnitude and phase of its output are both random. As an important application of the RDLCT, it can be used for image encryption. The simulation results demonstrate that the proposed encryption method is a security-enhanced image encryption scheme. FAU - Wei, Deyun AU - Wei D FAU - Wang, Ruikui AU - Wang R FAU - Li, Yuan-Min AU - Li YM LA - eng PT - Journal Article PL - United States TA - J Opt Soc Am A Opt Image Sci Vis JT - Journal of the Optical Society of America. A, Optics, image science, and vision JID - 9800943 EDAT- 2016/12/03 06:00 MHDA- 2016/12/03 06:01 CRDT- 2016/12/02 06:00 PHST- 2016/12/02 06:00 [entrez] PHST- 2016/12/03 06:00 [pubmed] PHST- 2016/12/03 06:01 [medline] AID - 355541 [pii] AID - 10.1364/JOSAA.33.002470 [doi] PST - ppublish SO - J Opt Soc Am A Opt Image Sci Vis. 2016 Dec 1;33(12):2470-2476. doi: 10.1364/JOSAA.33.002470.