rbiowavf

Reverse biorthogonal spline wavelet filters

Syntax

[RF,DF] = rbiowavf(W)

Description

[RF,DF] = rbiowavf(W) returns the two scaling filters associated with the biorthogonal wavelet specified by the string W.

W = 'rbioNd.Nr' where possible values for Nd and Nr are

Nd = 1 Nr = 1 , 3 or 5
Nd = 2 Nr = 2 , 4 , 6 or 8
Nd = 3Nr = 1 , 3 , 5 , 7 or 9
Nd = 4 Nr = 4
Nd = 5 Nr = 5
Nd = 6 Nr = 8

The output arguments are filters.

  • RF is the reconstruction filter.

  • DF is the decomposition filter.

Reverse Biorthgonal Scaling Filter

Obtain the reverse biorthogonal reconstruction and decomposition scaling filters for the 'rbio3.1' wavelet. The 'rbio3.1' wavelet has 3 vanishing moments for the decomposition (analysis) wavelet and 1 vanishing moment for the reconstruction (synthesis) wavelet.

[RF,DF] = rbiowavf('rbio3.1');

The reconstruction scaling filter, RF, and the decomposition filter, DF, are equal to the filters returned by wfilters scaled by $\sqrt{2}$.

[LoD,HiD,LoR,HiR] = wfilters('rbio3.1');
max(abs(sqrt(2)*DF-LoD))
max(abs(sqrt(2)*RF-LoR))
ans =

     0


ans =

     0

See Also

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