fftdiff.m

Spectral differentiation kernel. Differentiation corresponds to multiplication in the Fourier domain. This function generates the multiplier.

Syntax

    kern=fftdiff(order,npoints,dx)

Parameters

      order   - order of the derivative

      npoints - number of points in the grid

      dx      - grid step length

Outputs

      kern - a vector that is to be used for accurate
             numerical differentiation of periodic real
             signals in the following way:

              derivative=real(ifft(fft(signal).*kern));

Notes

Periodic boundary conditions.

See also

fdmat.m, fdvec.m, fourlap.m, fourdif.m, acomm.m, arnoldi.m, atranspose.m, aux_mat.m, binpack.m, cheap_norm.m, cheb_coeff.m, clean_up.m, dirdiff.m, eigenfields.m, expdrop.m, expmint.m, expmint2.m, frob_chop.m, gaussfun.m, hdot.m, herm_spline.m, jacobianest.m, keep_rank.m, krondelta.m, kronm_new.m, logfactorial.m, lorentzcon.m, lorentzfun.m, md5_hash.m, mprealloc.m, remncomm.m, remtrace.m, rspert.m, rspt_eig.m, snormpdf.m, svd_shrink.m, tikhoind.m, tikhonov.m, trapdiff.m, unit_oper.m, unit_state.m, vvpert.m, Kernel_utilities

Version 2.1, authors: Ilya Kuprov