Now showing items 1-10 of 10

    • Cross-term-free time-frequency distribution reconstruction via lifted projections 

      Deprem, Z.; Çetin, A. E. (Institute of Electrical and Electronics Engineers, 2015-01)
      A crucial aspect of time-frequency (TF) analysis is the identification of separate components in a multicomponent signal. The Wigner-Ville distribution is the classical tool for representing such signals, but it suffers ...
    • Digital computation of the fractional Fourier transform 

      Ozaktas, H. M.; Arıkan, O.; Kutay, M. A.; Bozdağı, G. (Institute of Electrical and Electronics Engineers, 1996-09)
      An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A ...
    • Efficient computation of the ambiguity function and the Wigner distribution on arbitrary line segments 

      Özdemir, A. K.; Arıkan, O. (IEEE, Piscataway, NJ, United States, 1999)
      Efficient algorithms are proposed for the computation of Wigner distribution and ambiguity function samples on arbitrary line segments based on the relationship of Wigner distribution and ambiguity function with the ...
    • Fractional Fourier domains 

      Ozaktas, H. M.; Aytür, O. (Elsevier BV, 1995-09)
      It is customary to define the time-frequency plane such that time and frequency are mutually orthogonal coordinates. Representations of a signal in these domains are related by the Fourier transform. We consider a continuum ...
    • High resolution time frequency representation with significantly reduced cross-terms 

      Özdemir, K. A.; Arıkan, O. (Institute of Electrical and Electronics Engineers, 2000)
      A novel algorithm is proposed for efficiently smoothing the slices of the Wigner distribution by exploiting the recently developed relation between the Radon transform of the ambiguity function and the fractional Fourier ...
    • High resolution time-frequency analysis by fractional domain warping 

      Özdemir, A.K.; Durak L.; Arikan, O. (2001)
      A new algorithm is proposed to obtain very high resolution time-frequency analysis of signal components with curved time-frequency supports. The proposed algorithm is based on fractional Fourier domain warping concept ...
    • Linear canonical domains and degrees of freedom of signals and systems 

      Öktem, F. S.; Özaktaş, Haldun (Springer Verlag, 2016)
      We discuss the relationships between linear canonical transform (LCT) domains, fractional Fourier transform (FRT) domains, and the space-frequency plane. In particular, we show that LCT domains correspond to scaled fractional ...
    • Optimal filtering in fractional Fourier domains 

      Kutay, M.Alper, Ozaktas Haldun, M.; Onural Levent, Arikan Orhan (1995)
      The ordinary Fourier transform is suited best for analysis and processing of time-invariant signals and systems. When we are dealing with time-varying signals and systems, filtering in fractional Fourier domains might allow ...
    • Time-frequency component analyzer 

      Özdemir, Ahmet Kemal (Bilkent University, 2003)
      In this thesis, a new algorithm, time–frequency component analyzer (TFCA), is proposed to analyze composite signals, whose components have compact time–frequency supports. Examples of this type of signals include biological, ...
    • Use of time-frequency representations in the analysis of stock market data 

      Sayan, G. T.; Sayan, Serdar (Springer, 2002)
      The analysis of economic/financial time series in the frequency domain is a relatively underexplored area of the literature, particularly when the statistical properties of a time series are time-variant (evolutionary). ...