The discrete wavelet packet transform (DWPT)
Description
Given j, n, t are the decomposition level, oscillation index, and time index, respectively, the DWPT is given by
W(j,n,t)=sum(u(n,l) * W(j1, floor(n/2), 2t+1l mod N(j1))),
The variables g and h represent the scaling filter and wavelet filter, respectively. Each filter is of length L. By definition, W(0,0,t)=X(t) where X is the original time series.
Usage
1 2 3 
Arguments
x 
a vector containing a uniformlysampled realvalued time series. 
documentation 
a character string used to describe the input

n.levels 
the number of decomposition levels.
Default: 
position 
a 
title.data 
a character string representing the name of the input

units 
a string denoting the units of the time series. Default: 
wavelet 
a character string denoting the filter type.
See 
Value
an object of class wavTransform
.
References
D. B. Percival and A. T. Walden, Wavelet Methods for Time Series Analysis, Cambridge University Press, 2000.
See Also
wavBestBasis
, wavPacketBasis
, reconstruct
, wavDWT
, wavMODWT
, wavMODWPT
, wavDaubechies
, wavMaxLevel
.
Examples
1 2 3 4 5 6 7 8 9 10 