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=10 3 and
Table 1.
Minimum values of WM lengths
N
to guarantee
P m
=
P fa
parameters α , σ C
providing corresponding values for several filter attack parameter δ
Image fishingboat
Case O
ασ ε η : N
5 5 2.000 : 38
Case A
Case B
Case C
δασ ε η : N
0.75 5 6 1.787 : 101
1.00 5 7 2.124 : 220
1.25 5 7 2.062 : 320
δα ε η : N
0.75 8 6 1.796 : 68
1.00 12 7 2.159 : 87
1.25 16 7 1.927 : 82
δα ε η : N
0.75 8 11 2.066 : 124
1.00 12 17 2.087 : 169
1.25 16 22 1.942 : 175
Image lena
Case O
ασ ε η : N
7 6 1.735 : 29
Case A
Case B
Case C
δασ ε η : N
0.75 7 8 1.653 : 89
1.00 7 9 1.817 : 190
1.25 7 9 1.755 : 281
δα ε η : N
0.75 12 9 1.796 : 70
1.00 17 9 1.792 : 77
1.25 22 9 1.691 : 73
δα ε η : N
0.75 12 15 1.738 : 102
1.00 17 22 1.755 : 143
1.25 22 29 1.789 : 156
(a) Cover image fishingboat be-
fore watermarking attack.
(b) Cover image fishingboat after
watermarking and filtering at-
tack with δ =0 . 75 and η =1 . 79.
Fig. 1. Cover image and its watermarked and attacked image
(a)-(b) that the visual effect of filtering, even for filter parameter δ = 1 is still
acceptable.
If WM is a colored noise sequence (as in Case B) we can observe an improve-
ment of the WM system (the required N decreases in comparison with Case A).
The Case C, when both W and
ε
are colored noise sequences, is observed to be
inferior than Case B.
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