Time-frequency signal analysis based on the windowed fractional Fourier transform
Signal Processing - Special issue: Fractional signal processing and applications
Design of ultraspherical window functions with prescribed spectral characteristics
EURASIP Journal on Applied Signal Processing
A unified framework for the fractional Fourier transform
IEEE Transactions on Signal Processing
The fractional Fourier transform and time-frequency representations
IEEE Transactions on Signal Processing
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing
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A new mathematical model for obtaining the fractional Fourier transforms of Dirichlet and Generalized ''Hamming'' window functions is presented. The different parameters for the window functions are also obtained with the help of simulations. The fractional Fourier transformation contains an adjustable parameter with which the main lobe width and correspondingly, the minimum stop band attenuation of the resulting window function can be controlled.