Symlet wavelet filter computation
The symaux
function generates the scaling filter coefficients
for the "least asymmetric" Daubechies wavelets.
is the
order w
= symaux(n
)n
Symlet scaling filter such that sum(w) =
1
.
Note
Instability may occur when n
is too large. Starting with
values of n
in the 30s range, function output will no longer
accurately represent scaling filter coefficients.
As n
increases, the time required to compute the filter
coefficients rapidly grows.
For n
= 1, 2, and 3, the order n
Symlet filters and order n
Daubechies filters are identical.
See Extremal Phase.
[1] Daubechies, I. Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics. Philadelphia, PA: SIAM Ed, 1992.
[2] Oppenheim, Alan V., and Ronald W. Schafer. Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice Hall, 1989.