plot(x, plot=T, J=8, periodic=F, I=1, ...)
wavelet
,
wavelet.packet
or
wp.atom
.
TRUE
, a plot is produced.
2^(-J)
on which to
evaluate the wavelet packet function.
TRUE
,
then wavelet packet function is periodized.
periodic=TRUE
.
The wavelet packet function will be
periodized with period
2^I
.
plot
.
x
and
y
:
x
point.
A wavelet or wavelet packet function is evaluated on
a dyadic grid over the range of the support of the function.
The sampling interval of the grid is at most
2^(-J)
,
and may be smaller depending on the wavelet type and
J
.
Wavelet and wavelet packet atoms are rescaled by
the coefficient and translated to the sampling interval
of the original signal.
The "construction 3" in Strang (1989) on p. 617
is used to compute a wavelet
function at the dyadics when it is possible.
The biorthogonal wavelets
"bs2.2", "bs3.1", "bs3.3"
and
"vs1"
are infinite at all dyadics,
and "construction 3" cannot be used.
For these wavelets, "construction 1" in Strang (1989)
on p. 616 is used to generate the plots.
For details about evaluating a wavelet function,
refer to Strang (1989) or
to the section "The Dilation Equation" of the
S+WAVELETS User's Manual.
Strang, Gilbert (1989). Wavelets and Dilation Equations: A Brief Introduction. SIAM Review 31 (4): 614-627.