R: (Packet ordered) Nondecimated wavelet transform decomposition...

wst.object {wavethresh} | R Documentation

## (Packet ordered) Nondecimated wavelet transform decomposition objects.

### Description

These are objects of class `wst` They represent a decomposition of a function with respect to a set of (all possible) shifted wavelets.

### Details

To retain your sanity we recommend that the coefficients from a `wst` object be extracted in one of two ways:

- use `getpacket.wst` to obtain individual packets of either father or mother wavelet coefficients.

- use `accessD.wst` to obtain all mother coefficients at a particular resolution level.

- use `accessC.wst` to obtain all father coefficients at a particular resolution level.

You can obtain the coefficients directly from the `wst$wp` component (mother) or `wst$Carray` component (father) but you have to understand their organization described above.

### Value

The following components must be included in a legitimate ‘wst’ object.

`wp` | a matrix containing the packet ordered non-decimated wavelet coefficients. Each row of the matrix contains coefficients with respect to a particular resolution level. There are `nlevelsWT(wst)+1` rows in the matrix. Row `nlevels(wst)+1` (the “bottom”) row contains the “original” data used to produce the wavelet packet coefficients. Rows `nlevels(wst)` to row 1 contain coefficients at resolution levels `nlevels(wst)-1` to 0 (so the first row contains coefficients at resolution level 0). The columns contain the coefficients with respect to packets. A different packet length exists at each resolution level. The packet length at resolution level `i` is given by `2^i`. However, the `getpacket.wst` function should be used to access individual packets from a `wst` object.
`Carray` | A matrix of the same dimensions and format as `wp` but containing the father wavelet coefficients.
`nlevelsWT` | The number of levels in the decomposition. If you raise 2 to the power of `nlevels` you get the number of data points used in the decomposition.
`filter` | a list containing the details of the filter that did the decomposition (equivalent to the return value from the `filter.select` function).
`date` | The date that the transform was performed or the wst was modified.

### GENERATION

This class of objects is returned from the `wst` function which computes the packets-ordered non-decimated wavelet transform (effectively all possible shifts of the standard discrete wavelet transform).

Many other functions return an object of class `wst`.

### METHODS

The wst class of objects has methods for the following generic functions: `AvBasis`, `InvBasis`, `LocalSpec`, `MaNoVe`, `accessC`, `accessD`, `convert`, `draw`. `getpacket`. `image`. `nlevelsWT`, `nullevels`, `plot`, `print`, `putC`, `putD`, `putpacket`, `summary`, `threshold`.

### RELEASE

Version 3.5.3 Copyright Guy Nason 1994

### Author(s)

G P Nason

### See Also

`wst`

[Package wavethresh version 4.6.8 Index]