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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 S2)
in matlab : Q = (1 + 2*S) / (1 – 2 * S^2) ;
R = Q * [-S 1 -S] ;
uD = conv(D,R) ;
3 point anti-smearconvolution filter
D
uD
input
output
‘un-smeared’ results
a Compensation Filtercourtesy of G.Rehm DLS
FFT
IFFT
Inversethese coeff. at 0 in my first simpleanti-smear,Kees
In blue : ‘3’ point anti-smear filter
In green : ‘5’ point anti-smear filter
ZOOM of previous slide
maf
Standardraw data
5-pointAnti-smear3-point
Anti-smear
Note : horizontal shifts between 4 curves are deliberateto better distinguish the curves
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