Publications [#283670] of Qing H. Liu

Papers Published

1. Liu, Y; Nie, Z; Liu, QH, DIFFT: A fast and accurate algorithm for Fourier transform integrals of discontinuous functions, Ieee Microwave and Wireless Components Letters, vol. 18 no. 11 (November, 2008), pp. 716-718, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1531-1309 [doi]
   (last updated on 2023/08/08)

   Abstract:
   A new highly accurate fast algorithm is proposed for computing the Fourier transform integrals of discontinuous functions (DIFFT) by employing the analytical Fourier transforms of Gauss-Chebyshev-Lobatto interpolation polynomials and the scaled fast Fourier transform. This algorithm can achieve the exponential accuracy for evaluation of Fourier spectra at the whole frequency range with a low computational complexity. Furthermore, the algorithm allows the adaptive sampling densities for different sections of a piecewise smooth function. Numerical experiments are shown for the applications in computational electromagnetics. © 2008 IEEE.