Abstract: The discrete Fourier transform (DFT) produces a Fourier representation for finite-duration data sequences. In addition to its theoretical importance, the DFT plays a key role in the ...

Abstract: The nonuniform discrete Fourier transform (NDFT) of a sequence of length N is defined as samples of its z-transform evaluated at N distinct points located arbitrarily on the z-plane. The ...

Conclusion: The Gibbs phenomenon in a filtered image can be reduced by partitioning the image so that the amplitude of the discontinuity is controlled. The proposed method is efficient and simple in ...