Scilab Wavelet Toolbox Reference Card

Wavelet Family
Daubechies
‘db1’ to ‘db10’
Coiflets
‘coif1’ to ‘coif5’
Symlets
‘sym4’ to ‘sym10’
Biorthogonal B Spline
‘bior1.1’,‘bior1.3’,‘bior1.5’
‘bior2.2’,‘bior2.4’,‘bior2.6’,‘bior2.8’
‘bior3.1’,‘bior3.3’,‘bior3.5’,‘bior3.7’,‘bior3.9’
Scilab Wavelet Toolbox Reference Card
Extension Method
‘symw’,‘symh’,‘asymw’,‘asymh’,‘zpd’
‘sp0’,‘sp1’,‘ppd’,‘per’
Utility Function
Convolution
c = conv(a, b)
Flipping
b = wrev(a)
Quadrature Mirror Filter
b = qmf(a, [EV EN ODD])
Dyadic Downsampling
b = dyaddown(a, [EV EN ODD], [‘type ′ ])
1
b = dyaddown(a, [‘type ′ ], [EV EN ODD])
b = dyaddown(M, [‘type ′ ], [EV EN ODD])
b = dyaddown(M, [EV EN ODD], [‘type ′ ])
Dyadic Upsampling
b = dyadup(a, [EV EN ODD], [‘type ′ ])
b = dyadup(a, [‘type ′ ], [EV EN ODD])
b = dyadup(M, [‘type ′ ], [EV EN ODD])
b = dyadup(M, [EV EN ODD], [‘type ′ ])
Extraction
b = wkeep(a, L)
N = wkeep(M, S)
b = wkeep(a, L, OP T )
b = wkeep(a, L, F IRST )
N = wkeep(M, S, [F IRST R, F IRST C])

Extension
b = wextend(‘1 ′ , MODE, a, L, [type])
N = wextend(‘2 ′ , MODE, M, L)
N = wextend(‘2 ′ , MODE, M, [LR, LC], [‘r ′ ‘l ′ ])
N = wextend(‘2 ′ , MODE, M, [LR, LC], ′ rl ′ )
N = wextend(‘ar ′ , MODE, M, L, [type])
N = wextend(‘ac ′ , MODE, M, L, [type])
Wavelet Filter Function
Daubechies
F = dbwavf(‘wname ′ )
Coiflets
F = coifwavf(‘wname ′ )
Symlets
F = symwavf(‘wname ′ )
Biorthogonal B Spline
F = biorwavf(‘wname ′ )
Orthogonal Filter Set
[Lo D, Hi D, Lo R, Hi R] = orthfilt(W )
Biorthogonal Filter Set
[Lo D, Hi D, Lo R, Hi R] = biorfilt(W )
Wavelet Filters
[Lo D, Hi D, Lo R, Hi R] = wfilters(‘wname ′ )
[Lo D, Hi D] = wfilters(‘wname ′ , ‘d ′ )
[Lo R, Hi R] = wfilters(‘wname ′ , ‘r ′ )
[Lo D, Lo R] = wfilters(‘wname ′ , ‘l ′ )
[Hi D, Hi R] = wfilters(‘wname ′ , ‘h ′ )
Maximum Decomposition Level
l = wmaxlev(n, ‘wname ′ )
l = wmaxlev(S, ‘wname ′ )
Extension Mode
dwtmode
dwtmode(‘status ′ )
dwtmode(‘mode ′ )
ST = dwtmode(‘status ′ , ‘nodisp ′ )
2
1D DWT
Single Level DWT
[cA, cD] = dwt(x, ‘wname ′ )
[cA, cD] = dwt(x, Lo D, Hi D)
[cA, cD] = dwt(. . . , ‘mode ′ , MODE)
Inverse Single Level DWT
X = idwt(cA, cD, ‘wname ′ , [L])
X = idwt(cA, cD, Lo R, Hi R, [L])
X = idwt(. . . , ‘mode ′ , MODE)
Multiple Level DWT
[c, l] = wavedec(x, N, ‘wname ′ )
[c, l] = wavedec(x, N, Lo D, Hi D)
Inverse Multiple Level DWT
X = waverec(c, l, ‘wname ′ )
X = waverec(c, l, Lo R, Hi R)
Approximation Extraction
A = appcoef(c, l, ‘wname ′ , [N])
A = appcoef(c, l, Lo R, Hi R, [N])

Detail Extraction
D = detcoef(c, l, [N])
Partial Reconstruction
X = wrcoef(‘type ′ , c, l, ‘wname ′ , [N])
X = wrcoef(‘type ′ , c, l, Lo R, Hi R, [N])
Single Level Reconstruction
[NC, NL, cA] = upwlev(c, l, ‘wname ′ )
[NC, NL, cA] = upwlev(c, l, Lo R, Hi R)
Direct Reconstruction
Y = upcoef(O, X, ‘wname ′ , [N], [L])
Y = upcoef(O, X, Lo R, Hi R, [N], [L])
Energy Estimation
[Ea, Ed] = wenergy(c, l)
2D DWT
Single Level DWT
[cA, cH, cV, cD] = dwt2(X, ‘wname ′ )
[cA, cH, cV, cD] = dwt2(X, Lo D, Hi D)
[cA, cH, cV, cD] = dwt2(. . . , ‘mode ′ , MODE)
Inverse Single Level DWT
X = idwt2(cA, cH, cV, cD, ‘wname ′ , [S])
X = idwt2(cA, cH, cV, cD, Lo R, Hi R, [S])
X = idwt2(. . . , ‘mode ′ , MODE)
Multiple Level DWT
[C, S] = wavedec2(X, N, ‘wname ′ )
[C, S] = wavedec2(X, N, Lo D, Hi D)
Inverse Multiple Level DWT
X = waverec2(C, S, ‘wname ′ )
X = waverec2(C, S, Lo R, Hi R)
Approximation Extraction
A = appcoef2(C, S, ‘wname ′ , [N])
A = appcoef2(C, S, Lo R, Hi R, [N])
Detail Extraction
D = detcoef2(O, C, S, N)
3
[H, V, D] = detcoef2(‘all ′ , C, S, N)
Partial Reconstruction
X = wrcoef2(‘type ′ , C, S, ‘wname ′ , [N])
X = wrcoef2(‘type ′ , C, S, Lo R, Hi R, [N])
Single Level Reconstruction
[NC, NS, cA] = upwlev2(C, S, ‘wname ′ )
[NC, NS, cA] = upwlev2(C, S, Lo R, Hi R)
Direct Reconstruction
Y = upcoef2(O, X, ‘wname ′ , [N], [S])
Y = upcoef2(O, X, Lo R, Hi R, [N], [S])
Energy Estimation
[Ea, Ed] = wenergy2(C, S)
[Ea, Eh, Ev, Ed] = wenergy2(C, S)
Copyright c○ 2005,2006,2007 SCILAB WAVELET
TOOLBOX TEAM
http://scwt.sourceforge.net