📄 iwt_po.sci
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function x = IWT_PO(wc,L,qmf)
// IWT_PO -- Inverse Wavelet Transform (periodized, orthogonal)
// Usage
// x = IWT_PO(wc,L,qmf)
// Inputs
// wc 1-d wavelet transform: length(wc) = 2^J.
// L Coarsest scale (2^(-L) = scale of V_0); L << J;
// qmf quadrature mirror filter
// Outputs
// x 1-d signal reconstructed from wc
//
// Description
// 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)
//
// See Also
// FWT_PO, MakeONFilter
//
// Copyright Aldo I Maalouf
wcoef = ShapeAsRow(wc);
x = wcoef(1:2^L);
[n,J] = dyadlength(wcoef);
for j=L:J-1
x = UpDyadLo(x,qmf) + UpDyadHi(wcoef(dyad(j)),qmf) ;
end
x = ShapeLike(x,wc);
endfunction
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