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Linear Canonical Transforms, Degrees of Freedom, and Sampling in Optical Signals and Systems
Date
2014-04-23
Author
ÖZAKTAŞ, MEMDUH HALDUN
Öktem, Sevinç Figen
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
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BibTeX
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.