| 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. |
| 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 | |
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
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