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