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, 21.9.2000