mra(x, ...)
dwt object. When
x is an object of class
"dwt",
all the additional arguments will be ignored.
dwt. See
dwt for details.
"mra", inheriting from class
"decompose".
See
decompose.object for details.
Multiresolution analysis can be used to
provide a series of coarse to fine approximations
based on wavelets at different resolution levels (scales).
For details,
refer to Chapter 5 of Daubechies (1992) and
to the section "Multiresolution Analysis" in the
S+WAVELETS User's Manual.
Generic functions
crystal.names, print, plot have methods for
mra objects.
Daubechies, I. (1992).
Ten Lectures on Wavelets.
SIAM, Philadelphia.
Mallat, S. (1989). A Theory of Multiresolution Signal Decomposition: the
Wavelet Representation.
IEEE Transactions on Pattern Analysis and Machine Intellingence,
11 (7), 674-693.
par(mfrow=c(1, 2))
x1 <- make.signal("doppler", n=256) # noiseless doppler
x2 <- make.signal("doppler", n=256, snr=7) # noisy doppler
m1 <- mra(x1, wavelet="s8")
m2 <- mra(x2, wavelet="s8")
plot(m1)
plot(m2)