?? fft1d_f.asv
字號:
% fft1d_f: implementation of dense FFT-based sampling operator;
% also refer to fft1d_f: implementation of the transpose of dense
% FFT-based sampling operator;
% Written by Thong Do, JHU, 2007
% Revised by Lu Gan, April. 2008
function b = fft1d_f(x, OMEGA, p)
% Input parameters:
% x: Original signal vN-vector
% OMEGA: K/2-vector of frequency indices choosen
% p: vector that randomizes samples.
% b: K-vector
% 1d DFT
N = length(x);
if max(p)>1,
% pre-randomizing using permutation vector
fx = 1/sqrt(N)*fft(x(p));
elseif max(p) == 1
% pre-randomizing using Bernoulli vector
x = x.*p;
fx = 1/sqrt(N)*fft(x);
end
b = [sqrt(2)*real(fx(OMEGA)); sqrt(2)*imag(fx(OMEGA))];
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