0 0 0 1 1+2xS S Smear Anti-smear unknown ampl. Q P 0 = P x 0 + Q x S + P x 1 P = -Q x S 1+2xS = 2 x P x S + Q x 1 Q = (1 + 2 x S) / (1 – 2 x S 2 ) in matlab.

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xS S Smear Anti-smear unknown ampl. Q P 0 = P x 0 + Q x S + P x 1 P = -Q x S 1+2xS = 2 x P x S + Q x 1 Q = (1 + 2 x S) / (1 – 2 x S 2 ) in matlab : Q = (1 + 2*S) / (1 – 2 * S^2) ; R = Q * [-S 1 -S] ; uD = conv(D,R) ; 3 point anti-smear convolution filter D uD input output un-smeared results

a Compensation Filter courtesy of G.Rehm DLS FFT IFFT Inverse these coeff. at 0 in my first simple anti-smear, Kees

In blue : 3 point anti-smear filter In green : 5 point anti-smear filter

ZOOM of previous slide

maf Standard raw data 5-point Anti-smear 3-point Anti-smear Note : horizontal shifts between 4 curves are deliberate to better distinguish the curves