Title :
An accurate algorithm for nonuniform fast Fourier transforms (NUFFT´s)
Author :
Liu, Q.H. ; Nguyen, N.
Author_Institution :
Dept. of Electr. & Comput. Eng., New Mexico State Univ., Las Cruces, NM, USA
fDate :
1/1/1998 12:00:00 AM
Abstract :
Based on the (m, N, q)-regular Fourier matrix, a new algorithm is proposed for fast Fourier transform (FFT) of nonuniform (unequally spaced) data. Numerical results show that the accuracy of this algorithm is much better than previously reported results with the same computation complexity of O(N log2 N). Numerical examples are shown for the applications in computational electromagnetics
Keywords :
Fourier series; computational complexity; electromagnetism; fast Fourier transforms; interpolation; matrix algebra; Fourier matrix; accurate algorithm; computation complexity; computational electromagnetics; fast Fourier transforms; nonuniform FFT; Approximation algorithms; Approximation error; Computational electromagnetics; Discrete Fourier transforms; Equations; Fast Fourier transforms; Fourier series; Fourier transforms; Interpolation; Linear matrix inequalities;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
