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isBiorthogonal

Determine if DWT filter bank is biorthogonal

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Syntax

tf = isBiorthogonal(fb)
tf = isBiorthogonal(fb,tol)

Description

tf = isBiorthogonal(fb) returns true if the discrete wavelet transform (DWT) filter bank fb is a biorthogonal filter bank and false otherwise.

To determine if a DWT filter bank is orthogonal, use isOrthogonal.

example

tf = isBiorthogonal(fb,tol) uses the positive real-valued tolerance tol to determine the biorthogonality of the filter bank fb. tol is a small positive number in the interval (0, 10-2]. If unspecified, tol defaults to 10-5.

Examples

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Open Live Script

Check whether a filter bank is biorthogonal.

fb = dwtfilterbank('Wavelet','bior4.4');
isBiorthogonal(fb)
ans = logical
   1

Input Arguments

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Discrete wavelet transform (DWT) filter bank, specified as a dwtfilterbank object.

Tolerance to use to determine biorthogonality of the filter bank, specified as a positive scalar in the interval (0,10-2]. The sum of both scaling filters must be within tol of √2 and the sum of both wavelet filters must be less than tol.

Version History

Introduced in R2018a

See Also

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