wavPacketIndices {wmtsa} | R Documentation |
Converts flattened wavelet packet node indices to corresponding level and oscillation indices.
wavPacketIndices(x, check.basis=TRUE)
x |
a vector of flattened wavelet packet node indices. |
check.basis |
a logical value. If TRUE , the set of
specified indices is checked to ensure that the corresponding
wavelet packet nodes form a legitimate basis by ensuring that
(i) the union of all frequency ranges corresponding to the packet crystals span
the normalized frequencies [0,1/2] and (ii) the normalized frequency ranges
for all nodes do not overlap. Default: TRUE . |
In general, wavelet packet crystals can be arranged in the so-called natural order ala W(0,0) , W(1,0), W(1,1), W(2,0), W(2,1), W(2,2), W(2,3), ... , W(J,0), ..., W(J, NJ) where J is the number of decomposition levels and NJ. By definition, W(0,0) is the original time series. A given crystal is identified in the W(j,n) form above or by a flattened index. For example, the DWPT crystal in level 2 at oscillation index 1 is identified either by {j,n}={2,1} or by its flattened index 4 (with zero based indexing, 4 represents the fifth crystal of the wavelet packet transform in natural order). This function converts such flattened wavelet packet indices to the W(j,n) form.
a list of flat
, level
, and osc
vectors containing the flattened, decomposition level,
and oscillation indices, respectively, corresponding to the input.
## specify a basis formed by the flattened indices ## corresponding to the wavelet packet nodes ## W(2,0:1) and W(3,4:7), but submit them in ## arbitrary order wavPacketIndices(c(14,11,12,13,4,3), check.basis=TRUE)