UpSampling with CDJV Boundary Correction
bhi = CDJVDyadUp(blo,F,LEF,REF)
1-d signal, at coarse scale
filter
left edge filter bank
right edge filter bank
1-d signal, at coarse scale
CDJV have developed an algorithm for wavelets on the interval which preserves the orthogonality, vanishing moments, smoothness and compact support of Daubechies wavelets on the line.
The algorithm for wavelets on the interval of CDJV involves filtering combined with upsampling and downsampling, just like the algorithm on the line and circle. However, the filtering is not convolutional at the edges; instead special edge-filter matrices are applied. CDJVDyadUp implements the upsampling with edge-adjustment.
CDJV -- Cohen, Daubechies, Jawerth and Vial, 1992.