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` `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

`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 3.3.1 Index]