Description Usage Arguments Value References See Also Examples
The boundary wavelet and scaling coefficients are those subject to circular filtering operations. This function returns the range of indices which span the interior (or nonboundary) wavelet and scaling coefficients. If approximate zero phase filters are used in the wavelet trsnsform input then the shift factors needed to bring the coefficients to (approximate) zero phase are also returned.
1 | wavIndex(x)
|
x |
an object of class |
a list the indices locating the interior and boundary coefficients as well as the the zero phase shift factors need for each level of the transform.
D. B. Percival and A. T. Walden, Wavelet Methods for Time Series Analysis, Cambridge University Press, 2000.
1 2 3 |
$interior
$interior$low
d1 d2 d3 s1 s2 s3
8 0 0 8 0 0
$interior$high
d1 d2 d3 s1 s2 s3
8 0 0 8 0 0
$interior$length
d1 d2 d3 s1 s2 s3
1 0 0 1 0 0
$boundary
$boundary$length
d1 d2 d3 s1 s2 s3
7 8 8 7 8 8
$all
$all$length
d1 d2 d3 s1 s2 s3
8 8 8 8 8 8
$shift
$shift$dwt
d1 d2 d3 s1 s2 s3
-2 -2 -3 -1 -2 -2
$shift$modwt
d1 d2 d3 s1 s2 s3
-4 -11 -25 -3 -9 -21
$shift$dwpt
w1.0 w1.1 w2.0 w2.1 w2.2 w2.3 w3.0 w3.1 w3.2 w3.3 w3.4 w3.5 w3.6 w3.7
-1 -2 -2 -2 -3 -2 -2 -3 -3 -2 -3 -3 -3 -2
$shift$modwpt
w1.0 w1.1 w2.0 w2.1 w2.2 w2.3 w3.0 w3.1 w3.2 w3.3 w3.4 w3.5 w3.6 w3.7
-3 -4 -9 -11 -12 -10 -21 -25 -27 -23 -24 -28 -26 -22
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