نتایج جستجو برای: generalized fourier transform
تعداد نتایج: 299860 فیلتر نتایج به سال:
This paper investigates the generalized Parseval’s theorem of fractional Fourier transform (FRFT) for concentrated data. Also, in the framework of multiple FRFT domains, Parseval’s theorem reduces to an inequality with lower and upper bounds associated with FRFT parameters, named as generalized Parseval’s theorem by us. These results theoretically provide potential valuable applications in filt...
We extend the Wiener-Khinchin theorem to nonwide sense stationary (WSS) random processes, i.e. we prove that, under certain assumptions, the power spectral density (PSD) of any random process is equal to the Fourier transform of the time-averaged autocorrelation function. We use the theorem to show that bandlimitedness of the PSD implies bandlimitedness of the generalized-PSD for a certain clas...
The Fractional Fourier Transform is a generalized form of Fourier Transform, which can be interpreted as a rotation by angle ? in time-frequency plane or decomposition of signals in terms of chirps. However it fails in locating Fractional Fourier Domain Frequency contents. Short-time FRFT variants are suitable for analysis of multicomponent and non-linear chirp signals with improved time-freque...
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