matching.pursuit(x, type="wp", n.atom=50, ...)
"wp"
or
"cp"
.
type="cp"
, available arguments:
n.levels, dct.type, taper, boundary, n.taper
. See
cp.table
for details.
When
type="wp"
, available arguments:
wavelet, n.levels, boundary, dual, analysis.filter, synthesis.filter
,
filter.reverse
. See
dwt
for details.
"wp.molecule"
or
"cp.molecule"
, depending on
type
, inheriting from class
"molecule"
.
See
molecule.object
for details.
The matching pursuit decomposition of Mallat and Zhang (1993)
is an alternative to wavelet packet
and cosine packet analysis which
can provide greater flexibility in analysis of signals.
In matching pursuits,
a signal is decomposed as a sum of "atomic waveforms".
The matching pursuit algorithm proceeds by successively finding
the best fitting atomic waveforms to a signal
f(t)
.
The matching pursuit algorithm is described in Mallat and Zhang (1993)
and the chapter "Matching Pursuit and Molecules"
of the
S+WAVELETS User's Manual.
when
type="wp"
, only
boundary="periodic"
is available.
Mallat, S. and Zhang, Z. (1993), "Matching Pursuits with Time Frequency Dictionaries," IEEE Transactions of Signal Processing, Vol. 41, No. 12.
xx <- make.signal("ramp", 1024) xx.mp <- matching.pursuit(xx, type="wp", n.atom=15) plot(xx.mp) title(xlab="Decompose to top 15 atoms")