Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems
Proceedings of the 22nd Signal Processing and Communications Applications Conference, SIU 2014
429 - 432
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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.
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
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