Degrees of freedom of optical systems and signals with applications to sampling and system simulation
Özaktaş, Haldun M.
Imaging and Applied Optics
Optical Society of America
Item Usage Stats
MetadataShow full item record
We study the degrees of freedom of optical systems and signals based on space-frequency (phase space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency plane. Based on this relationship, we discuss how to explicitly quantify the degrees of freedom of first-order optical systems with multiple apertures, and give conditions for lossless transfer. Moreover, we focus on the degrees of freedom of signals in relation to the space-frequency support and provide a sub-Nyquist sampling approach to represent signals with arbitrary space-frequency support. Implications for simulating optical systems are also discussed. © 2013 Optical Society of America.
KeywordsDegrees of freedom (mechanics)
Phase space methods
First-order optical systems
Linear canonical transform
Published Version (Please cite this version)https://doi.org/10.1364/ISA.2013.ITu1E.1
Showing items related by title, author, creator and subject.
Ahmed, S.; Özbay, H. (Elsevier B.V., 2016)A control algorithm based on switching robust controllers is presented for a Linear Parameter Varying (LPV) time-delay system modeling automatic infusion of vasodilator drug to regulate postsurgical hypertension. The system ...
Babaei, N.; Salamcı, M. U.; Karakurt, Ahmet Hakan (ASME, 2017)The paper presents an approach to the Model Reference Adaptive Control (MRAC) design for nonlinear dynamical systems. A nonlinear reference system is considered such that its response is designed to be stable via Successive ...
Ozturk, O.; Kandemir, M.; Irwin, M. J. (Institute of Electrical and Electronics Engineers, 2009-06)The memory system presents one of the critical challenges in embedded system design and optimization. This is mainly due to the ever-increasing code complexity of embedded applications and the exponential increase seen in ...