meyer
Meyer wavelet
Syntax
Description
[
returns the Meyer scaling and wavelet functions, phi
,psi
,t
] = meyer(lb
,ub
,n
)phi
and
psi
respectively, evaluated at t
, an
n
-point regular grid in the interval [lb,
ub]
. Both functions have the interval [-8, 8] as effective
support.
Note
meyer
uses the auxiliary function meyeraux
. If you change
meyeraux
, you get a family of different
wavelets.
Examples
Input Arguments
Output Arguments
Algorithms
The Meyer wavelet and scaling functions are defined in the Fourier domain. Starting
from an explicit form of the Fourier transform of the scaling function ϕ, meyer
computes the values of on a regular grid. The values of ϕ are computed
using an inverse Fourier transform.
The procedure for the wavelet ψ is identical to the procedure for the scaling function.
References
[1] Daubechies, I. Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics. Philadelphia, PA: SIAM Ed, 1992.
Version History
Introduced before R2006a