Browsing by Subject "Canonical decomposition"

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    Generalized time-bandwidth product optimal short-time fourier transformation
    (IEEE, 2002-05) Durak, Lütfiye; Arıkan, Orhan
    By extending the time-bandwidth product concept to fractional Fourier domains, a generalized time-bandwidth product (GTBP) is introduced. The GTBP provides a rotation independent measure for the support of the signals in time-frequency domain. A close form expression for the adaptive kernel of STFT that provides the minimum increase on the GTBP of a signal is derived. Also, a linear canonical decomposition of the obtained GTBP optimal STFT is presented to identify its relation to the rotationally invariant STFT analysis.
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    ItemOpen Access
    Optical implementation of linear canonical transforms
    (Springer Verlag, 2016) Kutay, Mehmet Alper; Özaktaş, Haldun M.; Rodrigo, J. A.
    We consider optical implementation of arbitrary one-dimensional and two-dimensional linear canonical and fractional Fourier transforms using lenses and 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. © Springer International Publishing Switzerland 2016.