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wpdec2    Examples   See Also

Wavelet packet decomposition 2-D.

Syntax

Description

wpdec2 is a two-dimensional wavelet packet analysis function.

[T,D] = wpdec2(X,N,'wname',E,P) returns a tree structure T and a data structure D (see maketree), corresponding to a wavelet packet decomposition of the matrix X, at level N, with a particular wavelet ('wname', see wfilters).

E is a string containing the type of entropy (see wentropy):

E = 'shannon', 'threshold', 'norm', 'log energy', 'sure', 'user'

P is an optional parameter:

'shannon' or 'log energy': P is not used

'threshold' or 'sure': P is the threshold (0 P)

'norm': P is a power (1 P < 2)

'user': P is a string containing a name of an user-defined function

[T,D] = wpdec2(X,N,'wname') is equivalent to
[T,D] = wpdec2(X,N,'wname','shannon').

See wpdec for a more complete description.

Examples

Algorithm

The algorithm used for the wavelet packets decomposition follows the same line as the wavelet decomposition process (see dwt2, wavedec2).

See Also

maketree, waveinfo, wdatamgr, wentropy, wpdec, wtreemgr

References

R.R. Coifman, M.V. Wickerhauser, (1992), "Entropy-based algorithms for best basis selection," IEEE Trans. on Inf. Theory, vol. 38, 2, pp. 713-718.

Y. Meyer (1993), "Les ondelettes. Algorithmes et applications," Colin Ed., Paris, 2nd edition. (English translation: "Wavelets: Algorithms and Applications," SIAM).

M.V. Wickerhauser, (1991) "INRIA lectures on wavelet packet algorithms," Proceedings ondelettes et paquets d'ondes 17-21 June Rocquencourt France, pp 31-99.

M.V. Wickerhauser, (1994) "Adapted wavelet analysis from theory to software Algorithms," A.K. Peters.



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