Analysis of Dirichlet and Generalized “Hamming” window functions in the fractional Fourier transform domains

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.