### Table 1: Results of mother wavelet db1

### Table 3: Results of mother wavelet db15

### Table 1: Measures 0 { 4 in a mother wavelet selection task

### Table 5: Results of mother wavelet bior 2.4

### Table 1: Comparison of compression ratios for di erent frequencies and di erent mother wavelets: DWT vs. MSAWPT.

1998

"... In PAGE 15: ...We obtain the compressed matrix with a cut-o level of one percent of the maximal coe cient in absolute value. The comparison of compression ratios between DWT and MSAWPT for di erent frequencies and di erent mother wavelets is shown in Table1... In PAGE 16: ...52 LCT, DWT and MSAWPT for di erent frequencies and di erent operator lengths. From Table1 , we see that the compression ratios by MSAWPT are much higher than those by DWT in any cases, and from Table 2, regardless of N = 128 or N = 256, it can be observed that for low frequency (5:9Hz), the compression capability of local cosine bases is equivalent to that of standard wavelets and is weaker than that of adapted wavelet-packets; however, for high frequency (25Hz), local cosine bases are more powerful than both the standard wavelets and adapted wavelet-packets (the compression ratio of the entire complex operator is de ned as the arithmetic mean of the compression ratios of real part and imaginary part). 4 CONCLUSIONS In this paper, we study the decomposition and compression of Kirchho migration operator by the uniform LCT and compare with the adapted wavelet-packet transform and the standard DWT.... ..."

Cited by 3

### Table 1: Compression ratios of migration operator for di erent frequencies and di erent mother wavelets: DWT versus MSAWPT.

"... In PAGE 3: ...We obtain the compressed matrix with a cut-o level of one percent of the maximum absolute coe - cient. The comparison of compression ratios between DWT and MSAWPT for di erent frequencies and dif- ferent wavelet bases is shown in Table1 . From Table 1, we see that the compression ratios by MSAWPT are much higher than those by DWT ( the compres- sion ratio of the entire complex operator is de ned as the arithmetic mean of the compression ratios of real... ..."

### Table 2: Contribution to Explained Sum of Squares of Di#0Berent Levels of Mother Wavelet

### Table 2. Mother wavelet db6, levels 3 and 5, including distance 4.

"... In PAGE 7: ... db 6, level 4, including distance 4. Writer 1 Writer 2 Writer 3 Writer 4 FAR 0% 0% 0% 0% FRR 37% 23% 30% 40% The tests showed in Table2 justify the adoption of level 4 as the reference. Although presenting a light decreasing in FRR on the average, the data in Table 2 show unacceptable values to the FAR, meaning that at levels other than the 4th , this verification system would be unsafe for the cases studied.... ..."

### Table 3. Mother wavelets db1, db10 and bior 5.5, level 4, including distance 4.

"... In PAGE 7: ...5. Our results, showed in Table3 , indicate that, even though it is possible to find some improvement in FRR, there are again some important security failures due to high FAR, meaning that db6 was effectively the most indicated in this case. Table 3.... ..."

### Table 1: Percent classification error rate of mine-like object discrimination using various discrim- inant basis representations from a Coiflet-3 and Symmlet-6 mother wavelets and a local cosine wavelet packet. The discrimination is performed from most discriminative 15 coefficients extracted by each method.

"... In PAGE 7: ... A wavelet packet representation using a Symmlet-6 mother wavelet is shown on the bottom right. The results of the narrow-band backscattered data are in Table1 . It appears that a local cosine representation is more appropriate for this acoustic signal and several discriminant basis selections yield similar results.... ..."