| Transform can be written for one of log2N steps as a matrix operation given on following foil. As we will see each step deals with half of data from previous step and resolution examined doubles at each step |
| In this way we look at ALL resolutions i.e. all length scales |
| Each smoothing is constructed in this particular wavelet formulation as an average over 4 points |
| The matrix is orthogonal if: |
| The matrix will zero first two moments on sets of four points if: |