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Publications [#68147] of Qing H. Liu

Papers Published

  1. Liu, Q.H. and Nguyen, N. and Tang, X.Y., Accurate algorithms for nonuniform fast forward and inverse Fourier transforms and their applications, International Geoscience and Remote Sensing Symposium (IGARSS), vol. 1 (1998), pp. 288 - 290, Seattle, WA, USA [IGARSS.1998.702881]
    (last updated on 2007/04/17)

    Abstract:
    Regular fast Fourier transform (FFT) algorithms require uniformly sampled data. In many practical situations, however, the input data is nonuniform, and hence the regular FFT does not apply. To overcome this difficulty we recently proposed an accurate algorithm for the nonuniform forward FFT (NUFFT) based on a new class of matrices, the regular Fourier matrices. For the nonuniform inverse FFT (NU-IFFT) algorithm, the conjugate-gradient method and the regular FFT algorithm are combined to speed up a matrix inversion. Numerical results show that thee algorithms are more than one order of magnitude more accurate than existing algorithms.

    Keywords:
    Fast Fourier transforms;Matrix algebra;Interpolation;Algorithms;


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