# Wavelet Symlets 20 (sym20)

## Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

## Wavelet and scaling functions

• Scaling function φ

• Wavelet function ψ

## Coefficients

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Decomposition low-pass filter (copy)
1. h0 =  0.0000003696
2. h1 = -0.0000001902
3. h2 = -0.0000079194
4. h3 =  0.0000030257
5. h4 =  0.0000799297
6. h5 = -0.0000192841
7. h6 = -0.0004947311
8. h7 =  0.0000721599
9. h8 =  0.0020889947
10. h9 = -0.0003052628
11. h10 = -0.0066065858
12. h11 =  0.0014230874
13. h12 =  0.0170040490
14. h13 = -0.0033138574
15. h14 = -0.0316294371
16. h15 =  0.0081232284
17. h16 =  0.0255793495
18. h17 = -0.0789943449
19. h18 = -0.0298193689
20. h19 =  0.4058314443
21. h20 =  0.7511627284
22. h21 =  0.4719914751
23. h22 = -0.0510883429
24. h23 = -0.1605782984
25. h24 =  0.0362509517
26. h25 =  0.0889196680
27. h26 = -0.0068437020
28. h27 = -0.0353733368
29. h28 =  0.0019385971
30. h29 =  0.0121570409
31. h30 = -0.0006111264
32. h31 = -0.0034716478
33. h32 =  0.0001254409
34. h33 =  0.0007476109
35. h34 = -0.0000266156
36. h35 = -0.0001173913
37. h36 =  0.0000045254
38. h37 =  0.0000122873
39. h38 = -0.0000003257
40. h39 = -0.0000006329
Reconstruction low-pass filter (copy)
1. h'0 = -0.0000006329
2. h'1 = -0.0000003257
3. h'2 =  0.0000122873
4. h'3 =  0.0000045254
5. h'4 = -0.0001173913
6. h'5 = -0.0000266156
7. h'6 =  0.0007476109
8. h'7 =  0.0001254409
9. h'8 = -0.0034716478
10. h'9 = -0.0006111264
11. h'10 =  0.0121570409
12. h'11 =  0.0019385971
13. h'12 = -0.0353733368
14. h'13 = -0.0068437020
15. h'14 =  0.0889196680
16. h'15 =  0.0362509517
17. h'16 = -0.1605782984
18. h'17 = -0.0510883429
19. h'18 =  0.4719914751
20. h'19 =  0.7511627284
21. h'20 =  0.4058314443
22. h'21 = -0.0298193689
23. h'22 = -0.0789943449
24. h'23 =  0.0255793495
25. h'24 =  0.0081232284
26. h'25 = -0.0316294371
27. h'26 = -0.0033138574
28. h'27 =  0.0170040490
29. h'28 =  0.0014230874
30. h'29 = -0.0066065858
31. h'30 = -0.0003052628
32. h'31 =  0.0020889947
33. h'32 =  0.0000721599
34. h'33 = -0.0004947311
35. h'34 = -0.0000192841
36. h'35 =  0.0000799297
37. h'36 =  0.0000030257
38. h'37 = -0.0000079194
39. h'38 = -0.0000001902
40. h'39 =  0.0000003696
Decomposition high-pass filter (copy)
1. g0 =  0.0000006329
2. g1 = -0.0000003257
3. g2 = -0.0000122873
4. g3 =  0.0000045254
5. g4 =  0.0001173913
6. g5 = -0.0000266156
7. g6 = -0.0007476109
8. g7 =  0.0001254409
9. g8 =  0.0034716478
10. g9 = -0.0006111264
11. g10 = -0.0121570409
12. g11 =  0.0019385971
13. g12 =  0.0353733368
14. g13 = -0.0068437020
15. g14 = -0.0889196680
16. g15 =  0.0362509517
17. g16 =  0.1605782984
18. g17 = -0.0510883429
19. g18 = -0.4719914751
20. g19 =  0.7511627284
21. g20 = -0.4058314443
22. g21 = -0.0298193689
23. g22 =  0.0789943449
24. g23 =  0.0255793495
25. g24 = -0.0081232284
26. g25 = -0.0316294371
27. g26 =  0.0033138574
28. g27 =  0.0170040490
29. g28 = -0.0014230874
30. g29 = -0.0066065858
31. g30 =  0.0003052628
32. g31 =  0.0020889947
33. g32 = -0.0000721599
34. g33 = -0.0004947311
35. g34 =  0.0000192841
36. g35 =  0.0000799297
37. g36 = -0.0000030257
38. g37 = -0.0000079194
39. g38 =  0.0000001902
40. g39 =  0.0000003696
Reconstruction high-pass filter (copy)
1. g'0 =  0.0000003696
2. g'1 =  0.0000001902
3. g'2 = -0.0000079194
4. g'3 = -0.0000030257
5. g'4 =  0.0000799297
6. g'5 =  0.0000192841
7. g'6 = -0.0004947311
8. g'7 = -0.0000721599
9. g'8 =  0.0020889947
10. g'9 =  0.0003052628
11. g'10 = -0.0066065858
12. g'11 = -0.0014230874
13. g'12 =  0.0170040490
14. g'13 =  0.0033138574
15. g'14 = -0.0316294371
16. g'15 = -0.0081232284
17. g'16 =  0.0255793495
18. g'17 =  0.0789943449
19. g'18 = -0.0298193689
20. g'19 = -0.4058314443
21. g'20 =  0.7511627284
22. g'21 = -0.4719914751
23. g'22 = -0.0510883429
24. g'23 =  0.1605782984
25. g'24 =  0.0362509517
26. g'25 = -0.0889196680
27. g'26 = -0.0068437020
28. g'27 =  0.0353733368
29. g'28 =  0.0019385971
30. g'29 = -0.0121570409
31. g'30 = -0.0006111264
32. g'31 =  0.0034716478
33. g'32 =  0.0001254409
34. g'33 = -0.0007476109
35. g'34 = -0.0000266156
36. g'35 =  0.0001173913
37. g'36 =  0.0000045254
38. g'37 = -0.0000122873
39. g'38 = -0.0000003257
40. g'39 =  0.0000006329