| Wavelet Toolbox | |
Finer and Coarser Resolutions
The organizing parameter, the scale a, is related to level j by 
. If we define resolution as 1/a, then the resolution increases as the scale decreases. The greater the resolution, the smaller and finer are the details that can be accessed.
| j |
10 |
9 |
... |
2 |
1 |
0 |
-1 |
-2 |
| Scale |
1024 |
512 |
... |
4 |
2 |
1 |
1/2 |
1/4 |
| Resolution |
1/210 |
1/29 |
... |
1/4 |
1/2 |
1 |
2 |
4 |
From a technical point of view, the size of the revealed details for any j is proportional to the size of the domain in which the wavelet or analyzing function of the variable x,
is not too close to 0.
| | Wavelet Decomposition: A Hierarchical Organization | Wavelet Shapes | |