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Table 3 Symmetric coefficients of the mask \(\pmb{\tau^{16,3,0.01}_{0}(\omega)}\)

From: Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials

i

\(\boldsymbol{h_{k}}\)

\(\boldsymbol{h_{-k}}\)

0

2.2376

2.2376

1

2.0725

2.0725

2

1.6492

1.6492

3

1.1334

1.1334

4

6.8036 × 10−1

6.8036 × 10−1

5

3.6390 × 10−1

3.6390 × 10−1

6

1.7807 × 10−1

1.7807 × 10−1

7

8.1210 × 10−2

8.1210 × 10−2

8

3.4068 × 10−2

3.4068 × 10−2

9

1.2378 × 10−2

1.2378 × 10−2

10

3.4314 × 10−3

3.4314 × 10−3

11

4.7361 × 10−4

4.7361 × 10−4

12

−1.4408 × 10−4

−1.4408 × 10−4

13

1.2584 × 10−4

1.2584 × 10−4

14

4.7943 × 10−5

4.7943 × 10−5

15

1.2022 × 10−5

1.2022 × 10−5

16

2.0920 × 10−6

2.0920 × 10−6

17

2.4584 × 10−7

2.4584 × 10−7

18

1.7688 × 10−8

1.7688 × 10−8

19

5.9141 × 10−10

5.9141 × 10−10