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Suppose wc <- FWT_PO(x,L,qmf) where qmf is an orthonormal quad. mirror filter, e.g. one made by MakeONFilter. Then x can be reconstructed by x <- IWT_PO(wc,L,qmf).
wc <- FWT_PO(x,L,qmf)
qmf
MakeONFilter
x <- IWT_PO(wc,L,qmf)
IWT_PO(wc, L, qmf)
1-d wavelet transform: length(wc) = 2^J.
Coarsest scale (2^(-L) = scale of V_0); L << J.
quadrature mirror filter (orthonormal).
x 1-d signal reconstructed from wc.
x
FWT_PO, MakeONFilter.
FWT_PO
# NOT RUN { x <- MakeSignal('Ramp', 8) L <- 0 qmf <- MakeONFilter('Haar') wc <- FWT_PO(x, L, qmf) xr <- IWT_PO(wc,L,qmf) # }
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