Commutative Watermarking-Encryption of Audio Data with Minimum Knowledge Verification

Table 1

Bit error rates of extracted 32 bit watermarks after various StirMark attacks on seven example audio files. Parameters used are , , , , , and .

Index	Attack + parameter	Tenor singing	Female speech	Guitar	Soloists (Verdi)	Choir (Orff)	Abba	Eddie Rabbit
0	AddDynNoise-20	0.406	0.312	0.469	0.438	0.406	0.438	0.344
1	AddNoise-10	0.031	0.0	0.0	0.0	0.0	0.0	0.0
2	AddNoise-1000	0.438	0.375	0.438	0.469	0.406	0.562	0.438
3	AddSinus-120-3000	0.406	0.344	0.469	0.438	0.344	0.5	0.375
4	Amplify-50	0.375	0.406	0.469	0.438	0.438	0.5	0.406
5	BassBoost-150-6.123	0.344	0.312	0.5	0.469	0.406	0.469	0.406
6	BitChanger-1-99.99	0.0	0.0	0.0	0.0	0.0	0.0	0.0
7	Compressor-6.123-2.1	0.0	0.0	0.0	0.0	0.0	0.0	0.0
8	CopySample-10000-2000-6000	0.0	0.0	0.0	0.0	0.0	0.0	0.0
9	CutSamples-100-7	0.0	0.0	0.0	0.0	0.0	0.0	0.0
10	Echo-50	0.406	0.406	0.531	0.469	0.469	0.469	0.344
11	Exchange	0.0	0.0	0.0	0.0	0.0	0.0	0.0
12	FFT_HLPassQuick-1024-150-15000	0.375	0.188	0.375	0.25	0.281	0.25	0.406
13	FFT_Invert-1024	0.375	0.375	0.469	0.375	0.375	0.375	0.281
14	FFT_RealReverse-1024	0.438	0.406	0.5	0.5	0.438	0.469	0.406
15	FlippSample-10000-2000-6000	0.0	0.0	0.0	0.0	0.0	0.0	0.0
16	Invert	0.375	0.375	0.469	0.375	0.375	0.375	0.281
17	LSBZero	0.0	0.0	0.0	0.0	0.0	0.0	0.0
18	Normalizer1-2048-28000	0.281	0.312	0.344	0.219	0.281	0.281	0.375
19	RC_LowPass-9000	0.25	0.219	0.219	0.406	0.406	0.375	0.094
20	ReplaceSamples-525-1.5	0.0	0.0	0.0	0.0	0.0	0.0	0.0
21	Smooth	0.344	0.25	0.406	0.438	0.406	0.469	0.219
22	Smooth2	0.062	0.125	0.219	0.125	0.062	0.0	0.094
23	Stat1	0.281	0.219	0.281	0.438	0.406	0.406	0.031
24	ZeroCross-1000	0.312	0.125	0.375	0.219	0.094	0.281	0.25
25	ZeroLength-10	0.0	0.0	0.0	0.0	0.0	0.0	0.0
26	ZeroRemove	0.0	0.0	0.0	0.0	0.0	0.0	0.0