rbiowavf

Reverse biorthogonal spline wavelet filters

Syntax

[RF,DF] = rbiowavf(wname)

Description

[RF,DF] = rbiowavf(wname) returns the reconstruction (synthesis) and decomposition (analysis) scaling filters, RF and DF, respectively, associated with the reverse biorthogonal wavelet specified by wname.

Examples

Reverse Biorthogonal Scaling Filter

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

ans = 0

max(abs(sqrt(2)*RF-LoR))

ans = 0

Input Arguments

wname — Name of reverse biorthogonal wavelet

character vector | string scalar

Name of reverse biorthogonal wavelet, specified as 'rbioNd.Nr' where possible values for Nd and Nr are as follows:

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

Nd and Nr are the numbers of vanishing moments for the decomposition and reconstruction filters, respectively.

Example: 'rbiowavf3.7'

Output Arguments

RF — Reconstruction filter

real-valued vector

Reconstruction filter associated with the reverse biorthogonal wavelet wname, returned as a real-valued vector.

DF — Decomposition filter

real-valued vector

Decomposition filter associated with the reverse biorthogonal wavelet wname, returned as a real-valued vector.

Version History

Introduced before R2006a