Browsing by Author "Healy, J. J."

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    Preface
    (Springer, New York, 2016) Healy, J. J.; Kutay, M. A.; Özaktaş, Haldun M.; Sheridan, J. T.; Healy, J. J.; Kutay, M. A.; Özaktaş, Haldun M.; Sheridan, J. T.
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    Sampling and discrete linear canonical transforms
    (Springer, 2016) Healy, J. J.; Özaktaş, Haldun M.; Healy, J. J.; Kutay, M. A.; Özaktaş, Haldun M.; Sheridan, J. T.
    A discrete linear canonical transform would facilitate numerical calculations in many applications in signal processing, scalar wave optics, and nuclear physics. The question is how to define a discrete transform so that it not only approximates the continuous transform well, but also constitutes a discrete transform in its own right, being complete, unitary, etc. The key idea is that the LCT of a discrete signal consists of modulated replicas. Based on that result, it is possible to define a discrete transform that has many desirable properties. This discrete transform is compatible with certain algorithms more than others.