Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems
Date
2014
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Source Title
Proceedings of the 22nd Signal Processing and Communications Applications Conference, SIU 2014
Print ISSN
2165-0608
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IEEE
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Pages
429 - 432
Language
Turkish
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Abstract
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.
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Keywords
Degrees of freedom , Optical signal processing , Degrees of freedom (mechanics) , Digital signal processing , Eigenvalues and eigenfunctions , Linear transformations , Mathematical transformations , Optical systems , Phase space methods , Canonical transformation , First-order optical systems , Fractional Fourier transforms , Linear canonical transform , Multiple apertures , Nyquist sampling rate , Sub-Nyquist sampling , Time frequency analysis , Mechanics