📄 iwt_ti.sci
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function x = IWT_TI(pkt,qmf)
// IWT_TI -- Invert translation invariant wavelet transform
// Usage
// x = IWT_TI(TIWT,qmf)
// Inputs
// TIWT translation-invariant wavelet transform table
// qmf quadrature mirror filter
// Outputs
// x 1-d signal reconstructed from translation-invariant
// transform TIWT
//
// See Also
// FWT_TI
//
// Copyright Aldo I Maalouf
[n,D1] = size(pkt);
D = D1-1;
J = log2(n);
L = J-D;
//
wp = pkt;
//
sig = wp(:,1)';
for d= D-1:-1:0,
for b=0:(2^d-1)
hsr = wp(packet(d+1,2*b ,n),d+2)';
hsl = wp(packet(d+1,2*b+1,n),d+2)';
lsr = sig(packet(d+1,2*b ,n) );
lsl = sig(packet(d+1,2*b+1,n) );
loterm = (UpDyadLo(lsr,qmf) + lshift(UpDyadLo(lsl,qmf)))/2;
hiterm = (UpDyadHi(hsr,qmf) + lshift(UpDyadHi(hsl,qmf)))/2;
sig(packet(d,b,n)) = loterm+hiterm;
end
end
x = sig;
endfunction
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