PMID- 23458814
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20131125
LR  - 20181023
IS  - 1539-4522 (Electronic)
IS  - 1559-128X (Linking)
VI  - 52
IP  - 7
DP  - 2013 Mar 1
TI  - Unitary discrete linear canonical transform: analysis and application.
PG  - C30-6
LID - 10.1364/AO.52.000C30 [doi]
AB  - The numerical approximation of the linear canonical transforms (LCTs) is 
      important in modeling coherent wave field propagation through first-order optical 
      systems and in many digital signal processing applications. The continuous LCTs 
      are unitary, but discretization can destroy this property. We present a 
      sufficient condition on the sampling rates chosen in the discretization to ensure 
      unitarity. We discuss the various subsets of the unitary matrices examined in 
      this paper that have been proposed elsewhere. We offer a proof of the existence 
      of all of the unitary matrices we discuss. We examine the consequences of these 
      results, particularly in relation to the use of discrete transforms in iterative 
      phase retrieval applications.
FAU - Zhao, Liang
AU  - Zhao L
AD  - School of Electrical, Electronic and Communications Engineering, Communications 
      and Optoelectronic Research Centre, SFI-Strategic Research Cluster in Solar 
      Energy Conversion, College of Engineering and Architecture, University College 
      Dublin, Belfield, Dublin, Ireland.
FAU - Healy, John J
AU  - Healy JJ
FAU - Sheridan, John T
AU  - Sheridan JT
LA  - eng
PT  - Journal Article
PL  - United States
TA  - Appl Opt
JT  - Applied optics
JID - 0247660
EDAT- 2013/03/06 06:00
MHDA- 2013/03/06 06:01
CRDT- 2013/03/06 06:00
PHST- 2013/03/06 06:00 [entrez]
PHST- 2013/03/06 06:00 [pubmed]
PHST- 2013/03/06 06:01 [medline]
AID - 248633 [pii]
AID - 10.1364/AO.52.000C30 [doi]
PST - ppublish
SO  - Appl Opt. 2013 Mar 1;52(7):C30-6. doi: 10.1364/AO.52.000C30.