fields (version 6.7.5)

W.info: 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).

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.

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.

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)