W.info {fields} | R Documentation

## Gives indexing imfomration for a wavelet decompostion

### Description

Functions for finding various indices and sizes of different parts of a 1-d multiresolution and converting to a sequential index.

### Usage

    W.info(m = 128, cut.min = 4)

    W.i2s(ind, m, cut.min)

    W.s2i(i, level, m, cut.min)

### Arguments

`m` | Length of series
`cut.min` | Number of scale basis functions (or father wavelets) at the coarsest resolution )
`ind` | Vector of indices of the basis functions.
`i` | Position of the basis function within its level.
`level` | level of resolution (father wavelets have level==0).

### Details

W.info gives summary information about the multiresolution. W.i2s converts a sequential index for the basis functions into a list with locations and levels. W.s2i is the inverse transformation from a list structure to an integer index.

### Value

Return list for W.info

`m` | length of series
`cut.min` | cut.min (what else!)
`S` | first and last indices for father wavelets
`H` | a matrix where rows are levels of resolution and columns are the first and last indices for the mother basis functions.
`L` | number of basis funcion in each level of the mother wavelets.
`Lmax` | The number of levels of resolution
`offset` | A matrix where rows are levels of resolution and the columns is the offset index for the beginning of the indices for basis funtion at that resolution level.

### Author(s)

Doug Nychka

### See Also

`Wtransform`, `Wtransform.image`, `plot.Wimage`, `Wimage.info`

### Examples

    # series of length 64 where the coarsest level is 8 father basis functions.
    W.info(64, 8)

    #index for 4th basis location at the 2nd level

    W.s2i( 4, 2, m=64, cut.min=8)
    # location and level for the 48th basis function.
    W.i2s( 48, m=64, cut.min=8)

[Package fields version 5.02 Index]