Open Access
Table B.1
Properties of the wavelets used in Section 2.6.
| Family name | Wavelet name | Vanishing moments | Filters length | Orthogonal | Biorthogonal | Symmetry |
|---|---|---|---|---|---|---|
| Biorthogonal | bior1.1 | 1 | 2 | False | True | symmetric |
| bior1.3 | 1 | 6 | False | True | symmetric | |
| bior1.5 | 1 | 10 | False | True | symmetric | |
| bior2.2 | 2 | 6 | False | True | symmetric | |
| bior2.4 | 2 | 10 | False | True | symmetric | |
| bior2.6 | 2 | 14 | False | True | symmetric | |
| bior2.8 | 2 | 18 | False | True | symmetric | |
| bior3.1 | 3 | 4 | False | True | symmetric | |
| bior3.3 | 3 | 8 | False | True | symmetric | |
| bior3.5 | 3 | 12 | False | True | symmetric | |
| bior3.7 | 3 | 16 | False | True | symmetric | |
| bior3.9 | 3 | 20 | False | True | symmetric | |
| bior4.4 | 4 | 10 | False | True | symmetric | |
| bior5.5 | 5 | 12 | False | True | symmetric | |
| bior6.8 | 6 | 18 | False | True | symmetric | |
| Coiflets | coif1 | 2 | 6 | True | True | near symmetric |
| coif2 | 4 | 12 | True | True | near symmetric | |
| coif3 | 6 | 18 | True | True | near symmetric | |
| coif4 | 8 | 24 | True | True | near symmetric | |
| coif5 | 10 | 30 | True | True | near symmetric | |
| coif6 | 12 | 36 | True | True | near symmetric | |
| coif7 | 14 | 42 | True | True | near symmetric | |
| coif8 | 16 | 48 | True | True | near symmetric | |
| coif9 | 18 | 54 | True | True | near symmetric | |
| coif10 | 20 | 60 | True | True | near symmetric | |
| coif11 | 22 | 66 | True | True | near symmetric | |
| coif12 | 24 | 72 | True | True | near symmetric | |
| coif13 | 26 | 78 | True | True | near symmetric | |
| coif14 | 28 | 84 | True | True | near symmetric | |
| coif15 | 30 | 90 | True | True | near symmetric | |
| coif16 | 32 | 96 | True | True | near symmetric | |
| coif17 | 34 | 102 | True | True | near symmetric | |
| Daubechies | db1 | 1 | 2 | True | True | asymmetric |
| db2 | 2 | 4 | True | True | asymmetric | |
| db3 | 3 | 6 | True | True | asymmetric | |
| db4 | 4 | 8 | True | True | asymmetric | |
| db5 | 5 | 10 | True | True | asymmetric | |
| db6 | 6 | 12 | True | True | asymmetric | |
| db7 | 7 | 14 | True | True | asymmetric | |
| db8 | 8 | 16 | True | True | asymmetric | |
| db9 | 9 | 18 | True | True | asymmetric | |
| db10 | 10 | 20 | True | True | asymmetric | |
| db11 | 11 | 22 | True | True | asymmetric | |
| db12 | 12 | 24 | True | True | asymmetric | |
| db13 | 13 | 26 | True | True | asymmetric | |
| db14 | 14 | 28 | True | True | asymmetric | |
| db15 | 15 | 30 | True | True | asymmetric | |
| db16 | 16 | 32 | True | True | asymmetric | |
| db17 | 17 | 34 | True | True | asymmetric | |
| db18 | 18 | 36 | True | True | asymmetric | |
| db19 | 19 | 38 | True | True | asymmetric | |
| db20 | 20 | 40 | True | True | asymmetric | |
| db21 | 21 | 42 | True | True | asymmetric | |
| db22 | 22 | 44 | True | True | asymmetric | |
| db23 | 23 | 46 | True | True | asymmetric | |
| db24 | 24 | 48 | True | True | asymmetric | |
| db25 | 25 | 50 | True | True | asymmetric | |
| db26 | 26 | 52 | True | True | asymmetric | |
| db27 | 27 | 54 | True | True | asymmetric | |
| db28 | 28 | 56 | True | True | asymmetric | |
| db29 | 29 | 58 | True | True | asymmetric | |
| db30 | 30 | 60 | True | True | asymmetric | |
| db31 | 31 | 62 | True | True | asymmetric | |
| db32 | 32 | 64 | True | True | asymmetric | |
| db33 | 33 | 66 | True | True | asymmetric | |
| db34 | 34 | 68 | True | True | asymmetric | |
| db35 | 35 | 70 | True | True | asymmetric | |
| db36 | 36 | 72 | True | True | asymmetric | |
| db37 | 37 | 74 | True | True | asymmetric | |
| db38 | 38 | 76 | True | True | asymmetric | |
| Discrete Meyer | dmey | 1 | 62 | True | True | symmetric |
| Haar | haar | 1 | 2 | True | True | asymmetric |
| Reverse biorthogonal | rbio1.1 | 1 | 2 | False | True | symmetric |
| rbio1.3 | 1 | 6 | False | True | symmetric | |
| rbio1.5 | 1 | 10 | False | True | symmetric | |
| rbio2.2 | 2 | 6 | False | True | symmetric | |
| rbio2.4 | 2 | 10 | False | True | symmetric | |
| rbio2.6 | 2 | 14 | False | True | symmetric | |
| rbio2.8 | 2 | 18 | False | True | symmetric | |
| rbio3.1 | 3 | 4 | False | True | symmetric | |
| rbio3.3 | 3 | 8 | False | True | symmetric | |
| rbio3.5 | 3 | 12 | False | True | symmetric | |
| rbio3.7 | 3 | 16 | False | True | symmetric | |
| rbio3.9 | 3 | 20 | False | True | symmetric | |
| rbio4.4 | 4 | 10 | False | True | symmetric | |
| rbio5.5 | 5 | 12 | False | True | symmetric | |
| rbio6.8 | 6 | 18 | False | True | symmetric | |
| Symlets | sym2 | 2 | 4 | True | True | near symmetric |
| sym3 | 3 | 6 | True | True | near symmetric | |
| sym4 | 4 | 8 | True | True | near symmetric | |
| sym5 | 5 | 10 | True | True | near symmetric | |
| sym6 | 6 | 12 | True | True | near symmetric | |
| sym7 | 7 | 14 | True | True | near symmetric | |
| sym8 | 8 | 16 | True | True | near symmetric | |
| sym9 | 9 | 18 | True | True | near symmetric | |
| sym10 | 10 | 20 | True | True | near symmetric | |
| sym11 | 11 | 22 | True | True | near symmetric | |
| sym12 | 12 | 24 | True | True | near symmetric | |
| sym13 | 13 | 26 | True | True | near symmetric | |
| sym14 | 14 | 28 | True | True | near symmetric | |
| sym15 | 15 | 30 | True | True | near symmetric | |
| sym16 | 16 | 32 | True | True | near symmetric | |
| sym17 | 17 | 34 | True | True | near symmetric | |
| sym18 | 18 | 36 | True | True | near symmetric | |
| sym19 | 19 | 38 | True | True | near symmetric | |
| sym20 | 20 | 40 | True | True | near symmetric |
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