Lifting schemes information
lsinfo
lsinfo displays the following information
about lifting schemes. A lifting scheme LS is a N x
3 cell array. The N-1 first rows of the array are elementary lifting
steps (ELS). The last row gives the normalization
of LS.
Each ELS has this format:
{type, coefficients, max_degree}
where type is 'p' (primal)
or 'd' (dual), coefficients is
a vector C of real numbers defining the coefficients
of a Laurent polynomial P described below, and max_degree is
the highest degree d of the monomials of P.
The Laurent polynomial P is of the form
P(z) = C(1)*z^d + C(2)*z^(d−1) + ... + C(m)*z^(d−m+1)
The lifting scheme LS is such that for
k = 1:N-1, LS{k,:} is
an ELS, where
LS{k,1} is the lifting type 'p' (primal)
or 'd' (dual).
LS{k,2} is the corresponding lifting filter.
LS{k,3} is the highest degree of the Laurent
polynomial corresponding to the filter LS{k,2}.
LS{N,1} is the primal normalization (real
number).
LS{N,2} is the dual normalization (real number).
LS{N,3} is not used.
Usually, the normalizations are such that LS{N,1}*LS{N,2}
= 1.
For example, the lifting scheme associated with the wavelet db1 is
LS = {...
'd' [ -1] [0]
'p' [0.5000] [0]
[1.4142] [0.7071] []
}