📄 lp_lift.m
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function a = lp_lift(a,b,c)
% a(z) = a(z) + b(z) c(z^2)
d = zeros(1,length(c{1})*2-1);
d(1:2:end) = c{1};
d = conv(b{1},d);
z = b{2}+c{2}*2;
zmax = max(a{2},z);
f = [zeros(1,zmax-a{2}),a{1},zeros(1,a{2} - length(a{1}) - z + length(d))];
i = zmax-z + (1:length(d));
f(i) = f(i) + d;
if all(abs(f) < 1e-12)
a = {0,0};
else
i = find(abs(f)/max(abs(f)) > 1e-10);
i1 = min(i);
a = {f(i1:max(i)),zmax-i1+1};
end
return;
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