Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Group: Mathematical Functions
Topic: Fourier and Wavelet transforms
See also: fwtin invfwtin dwt invdwt fwt invfwt

Function: fwtinshift
Description: fwtinshift retrieves the wavelet coefficients for a given shift of the Fast Wavelet Transformation of all circular shifts (fwtin) of a vector.

Link:
Usage: x = fwtinshift (ti, param)
Input:
ti n x d matrix, all circular shifts (fwtin)
param 2 x 1 vector, param[1] = log2(# of father wavelet coeffs), param[2] = shift
Output:
x n x 1 vector, resulting coefficients

Note:

Example:

library ("wavelet")
x  = (0:15)/16
y  = sin(pi*x)+normal(16)
ti = fwtin (y, 2, daubechies4)
fwtinshift (ti, cols(ti)|0)    ; reproduces x since no shifts were done 
Result:

Contents of fwtinshift
[ 1,]  0.58769 
[ 2,]  0.75702 
[ 3,]  0.88283 
[ 4,] -0.53397 
[ 5,] -0.33141 
[ 6,]   1.2115 
[ 7,]   1.2344 
[ 8,]  -1.0607 
[ 9,] -0.27021 
[10,] -0.28111 
[11,]  -1.3873 
[12,]  0.20907 
[13,]   -1.634 
[14,]   0.8523 
[15,]   1.0535 
[16,]  -1.5621 

Group: Mathematical Functions
Topic: Fourier and Wavelet transforms
See also: fwtin invfwtin dwt invdwt fwt invfwt

Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

(C) MD*TECH Method and Data Technologies, 28.6.1999