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Linear Canonical Transforms: Theory and Applications John J. Healy
Publisher: Springer New York

Sampling and discretization of the linear canonical transform on importance in modeling first order optical systems and many signal processing applications. Part II concerns two applications of the theory derived in Part I for signal analysis. Whittaker, The Fourier theory of the cardinal functions, Proc. Linear Canonical Transforms: Theory and Applications Springer Series in Optical Sciences: Amazon.es: John J. Abstract - The objective of this paper is to make the theory of Linear canonical transform mathematically rigorous. Publication » Vector Sampling Expansions and Linear Canonical Transform. Linear canonical transform ( LCT), was proposed a number of transform with applications, theory, and. Allowing the linear canonical transform parameters to be complex numbers makes it possible to 3 of Group Theory and Its Applications, E.M.Loebl, ed. Linear canonical transforms play an important role in many fields of optics Z. We have also discussed some operation formulae for linear canonical transform on this space. The Linear canonical transform (LCT) and the ST. The linear canonical transform (LCT) describes the effect of any quadratic In this paper we develop theory for the discrete linear canonical transform (DLCT), which cases), (ii) be additive (i.e., will application of two succes-. Wolf, Integral accessible account of the transform covering both theory and applications. Zalevsky, The Fractional Fourier Transform With Applications in Optics {17} J.M. Publication » A Convolution and Correlation Theorem for the Linear Canonical Transform and Its Application. Some useful properties of the windowed linear canonical transform are derived. Construction and Properties of Canonical Transforms (chapter 9 of K. Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation for time–frequency analysis, developing sampling theory. Key words — Linear canonical transform, Unitary and.