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PRACTICAL METHODS OF COMPUTING FOURIER
DISCRETE FOURIER TRANSFORMS
4 other sections not shown
application of discrete coefficients Ck complex conjugate complex sequence computation of Fourier computing discrete Fourier computing Fourier transforms computing the discrete convergence defining relation determine direct transform discontinuities discrete Fourier transform discrete Hilbert transform discrete periodic convolution discrete periodic correlation distribution double precision equal example exponential sequence F(co fast Fourier transform finite function finite sequence Fourier series Fourier transform computation function x(t image sequence images Xk integral interpolation polynomial introduce inverse discrete Fourier inverse transform JV-l matrix means number of multiplications obtain odd terms original sequence p-times rarefied sequence padded sequence padded with zero partial sums periodic function point tt polynomial interpolation present procedure real sequence result reversed sequence scalar product selected sequences sequence xt sequences of length shifted sequence shown in Figure spline interpolation subroutine substituting transform of sequences trigonometric polynomial vector X(co zero terms