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1 % create
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2 function [A_sys,b_sys,sig_fft] = ddm_lin_sys_fft(Q, R, win, win_der, mf_ders, sig, N, N_fft, fs)
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3 %% START: comment this out for better performance
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4 assert(size(mf_ders,1) == N );
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5 assert(size(mf_ders, 2) == R);
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6 assert(size(win,1) == N );
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7 assert(size(win,2) == 1 );
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8 assert(size(win_der,1) == N );
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9 assert(size(win_der,2) == 1 );
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10 assert(size(sig,1) == N );
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11 assert(size(sig,2) == 1 );
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12 assert(N <= N_fft);
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13 %% START: comment this out for better performance
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14
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15 win_mat = repmat(win, 1, R);
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16 frqs_fft = [0:N_fft-1]'*fs*2*pi/N_fft;
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17 [str_idx end_idx] = zpzh_idxs(N);
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18 sig_mat = repmat(sig, 1, R);
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19
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20
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21 fft_sig_mat_bffr = win_mat .* sig_mat .* mf_ders;
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22 fft_sig_win_der_bffr = win_der .* sig; % usefull hack to easily compute derivative of the matrix
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23 fft_sig_win_der = fft([fft_sig_win_der_bffr(str_idx,:);zeros(N_fft-N,1);fft_sig_win_der_bffr(end_idx,:)],N_fft,1);
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24 A = fft([fft_sig_mat_bffr(str_idx,:);zeros(N_fft-N,R);fft_sig_mat_bffr(end_idx,:)], N_fft, 1); %zero padded sheezl
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25 b = -(fft_sig_win_der - 1j*frqs_fft.* A(:,1));
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26 % create the actual matrixes
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27 A_sys = zeros(Q,R,N_fft-Q+1);
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28 b_sys = zeros(Q,1,N_fft-Q+1);
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29 for k=1:Q
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30 A_sys(k,:,:) = shiftdim(A(k:N_fft-Q+k,:).',-1);
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31 b_sys(k,:,:) = shiftdim(b(k:N_fft-Q+k).',-1);
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32 end
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33 sig_fft = A(:,1);
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34 end
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