Linear Canonical Transforms, Degrees of Freedom, and Sampling in Optical Signals and Systems

Date

2014-04-23

Author

ÖZAKTAŞ, MEMDUH HALDUN
Öktem, Sevinç Figen

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

99
views

0
downloads

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.

Subject Keywords

Optical signal processing, Degrees of freedom, Nyquist sampling rate, Time-frequency analysis, Linear canonical transformations, Fractional fourier transform

URI

https://hdl.handle.net/11511/48625

DOI

https://doi.org/10.1109/siu.2014.6830257

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

Degrees of freedom of optical systems and signals with applications to sampling and system simulation Öktem, Sevinç Figen (2013-06-23) 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 su...
Digital computation of linear canonical transforms Koc, Aykut; Ozaktas, Haldun M.; Candan, Çağatay; KUTAY, M. Alper (2008-06-01) We deal with the problem of efficient and accurate digital computation of the samples of the linear canonical transform (LCT) of a function, from the samples of the original function. Two approaches are presented and compared. The first is based on decomposition of the LCT into chirp multiplication, Fourier transformation, and scaling operations. The second is based on decomposition of the LCT into a fractional Fourier transform followed by scaling and chirp multiplication. Both algorithms take similar to N...
Local modeling of the ionospheric vertical total electron content (VTEC) using particle filter Aghakarimi, Armin; Karslıoğlu, Mahmut Onur; Department of Geodetic and Geographical Information Technologies (2012) Ionosphere modeling is an important field of current studies because of its influences on the propagation of the electromagnetic signals. Among the various methods of obtaining ionospheric information, Global Positioning System (GPS) is the most prominent one because of extensive stations distributed all over the world. There are several studies in the literature related to the modeling of the ionosphere in terms of Total Electron Content (TEC). However, most of these studies investigate the ionosphere in t...
Intuitionistic, 2-way adaptive fuzzy control Gurkan, E; Erkmen, Aydan Müşerref; Erkmen, İsmet (1999-05-15) Our objective in this paper is to develop a 2-way adaptive fuzzy control system that makes use of the intuitionistic fuzzy sets for modeling expert knowledge bearing uncertainty. Adaptive fuzzy control systems are fuzzy logic systems whose rule parameters are automatically adjusted through training. The training of such system was applied until now, to supports of rule propositions with single distribution such that they can be termed 1-way adaptive. In our system, all supports to propositions have interval...
Nonlinear intersubband optical absorption of Si delta-doped GaAs under an electric field Yildirim, Hasan; Tomak, Mehmet (Wiley, 2006-10-01) We study the nonlinear intersubband optical absorption of a single Si delta-doped GaAs sheet placed in the middle of a GaAs quantum well and subjected to an electric field. The Schrodinger and Poisson equations are solved self-consistently for various electric field strengths. The self-consistent solutions provide us with the correct confining potential, the wave functions, the corresponding subband energies and the subband occupations. The nonlinear optical intersubband absorption spectra are discussed wit...

Citation Formats

M. H. ÖZAKTAŞ and S. F. Öktem, “Linear Canonical Transforms, Degrees of Freedom, and Sampling in Optical Signals and Systems,” 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48625.