Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems
Özaktaş, Haldun M.
Öktem, F. S.
Proceedings of the 22nd Signal Processing and Communications Applications Conference, SIU 2014
429 - 432
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.
KeywordsDegrees of freedom
Optical signal processing
Degrees of freedom (mechanics)
Digital signal processing
Eigenvalues and eigenfunctions
Phase space methods
First-order optical systems
Fractional Fourier transforms
Linear canonical transform
Nyquist sampling rate
Time frequency analysis
Published Version (Please cite this version)http://dx.doi.org/10.1109/SIU.2014.6830257
Showing items related by title, author, creator and subject.
Sparse representation of two-and three-dimensional images with fractional fourier, hartley, linear canonical, and haar wavelet transforms Koç A.; Bartan, B.; Gundogdu, E.; Çukur, T.; Ozaktas, H. M. (Elsevier Ltd, 2017)Sparse recovery aims to reconstruct signals that are sparse in a linear transform domain from a heavily underdetermined set of measurements. The success of sparse recovery relies critically on the knowledge of transform ...
Mutlu, M.; Raza, U.; Saatci, Ö.; Eyüpoğlu, E.; Yurdusev, E.; Şahin, Ö. (Springer Verlag, 2016-06)MicroRNAs (miRNAs) are 20–22-nucleotide small endogenous non-coding RNAs which regulate gene expression at post-transcriptional level. In the last two decades, identification of almost 2600 miRNAs in human and their potential ...
Özaktaş, Haldun M.; Koç, A. (IEEE, 2015)Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform ...