Equivalent Wavelet Transform Filter
Generates an equivalent filter for a specified wavelet transform filter and level..
wt.filter.equivalent(wt.filter, J)
wt.filter |
A |
J |
Level of equivalent filter to compute. |
A wavelet transform of level j can be computed by iterating the pyramid algorithm j times with a level 1 wavelet filter, or by simply implementing the pyramid once with the level j equivalent filter. The equivalent filter is obtained by iteratively filtering the level 1 wavelet filter and scaling filters with upsampled versions of themselves. For details regarding the computation, see Percival and Walden (2000), eqs. 95e and 96e.
Returns the original wt.filter
object with modifications made
to the wavelet and scaling filter coefficients, filter length and
filter level.
Eric Aldrich. ealdrich@gmail.com.
Percival, D. B. and A. T. Walden (2000) Wavelet Methods for Time Series Analysis, Cambridge University Press.
wf <- wt.filter("la14") wt.filter.equivalent(wf, 3)
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