Titlebook: Linear Canonical Transforms; Theory and Applicati John J. Healy,M. Alper Kutay,John T. Sheridan Book 2016 Springer Science+Business Media N

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Steen G. Hanson,Michael L. Jakobsen,Harold T. Yuragy textbook (1967), Edward Jones and Harold Gerard cite criticisms directed at a large-scale study conducted by Samuel Stouffer and his colleagues of the professional and psychological adjustment of American soldiers during World War II.. The critics basically argued that the conclusions belabored t

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Gabriel F. Calvo,Antonio Picóngy textbook (1967), Edward Jones and Harold Gerard cite criticisms directed at a large-scale study conducted by Samuel Stouffer and his colleagues of the professional and psychological adjustment of American soldiers during World War II.. The critics basically argued that the conclusions belabored t

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Development of Linear Canonical Transforms: A Historical Sketchindependently by Marcos Moshinsky and Christiane Quesne in quantum mechanics, to understand the conservation of information and of uncertainty under linear maps of phase space. Only in the 1990s did both sources begin to be referred jointly in the growing literature, which has expanded into a field

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Eigenfunctions of the Linear Canonical Transform closely related to the parameters {., ., ., .} of the LCT. When |. + .| < 2, the LCT eigenfunctions are the scaling and chirp multiplication of Hermite–Gaussian functions. When |. + .| = 2 and . = 0, the eigenfunctions are the impulse trains. When |. + .| = 2 and . ≠ 0, the eigenfunctions are the c

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Uncertainty Principles and the Linear Canonical Transform different bounds for real and complex signals. Based on the LCT moments properties the lower bounds related to the covariance of time and frequency have been derived, which can reduce to different bounds for real and complex signals because real signals have zero covariance. Furthermore, some exten

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The Linear Canonical Transformations in Classical Opticsstems. It is shown that the paraxial approximation of ray and wave optics leads to matrix and integral forms of the two-dimensional LCTs. The LCT description of the first-order optical systems consisting of basic optical elements: lenses, mirrors, homogeneous and quadratic refractive index medium in

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Optical Implementation of Linear Canonical Transformsd sections of free space. We discuss canonical decompositions, which are generalizations of common Fourier transforming setups. We also look at the implementation of linear canonical transforms based on phase-space rotators.

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