scaling_filter {fastWavelets}

Scaling Filter

Description

Compute the scaling filter.

Usage

scaling_filter(wavelet)

Arguments

wavelet

A character string indicating the scaling filter desired

Details

The argument wavelet can take one of the following values:

c("haar", "d1", "sym1", "bior1.1", "rbio1.1", "d2", "sym2", "d3", "sym3", "d4", "d5", "d6", "d7", "d8", "d9", "d10", "d11", "sym4", "sym5", "sym6", "sym7", "sym8", "sym9", "sym10", "coif1", "coif2", "coif3", "coif4", "coif5", "bior1.3", "bior1.5", "bior2.2", "bior2.4", "bior2.6", "bior2.8", "bior3.1", "bior3.3", "bior3.5", "bior3.7", "bior3.9", "bior4.4", "bior5.5", "bior6.8", "rbio1.3", "rbio1.5", "rbio2.2", "rbio2.4", "rbio2.6", "rbio2.8", "rbio3.1", "rbio3.3", "rbio3.5", "rbio3.7", "rbio3.9", "rbio4.4", "rbio5.5", "rbio6.8", "la8", "la10", "la12", "la14", "la16", "la18", "la20", "bl14", "bl18", "bl20", "fk4", "fk6", "fk8", "fk14", "fk18", "fk22", "b3spline", "mb4.2", "mb8.2", "mb8.3", "mb8.4", "mb10.3", "mb12.3", "mb14.3", "mb16.3", "mb18.3", "mb24.3", "mb32.3", "beyl", "vaid", "han2.3", "han3.3", "han4.5", "han5.5")

Value

Scaling filter vector (a numeric vector)

References

Percival, D. B. and A. T. Walden (2000) Wavelet Methods for Time Series Analysis, Cambridge University Press.

Wasilewski, F. (2008). Wavelet browser by pywavelets. Wavelet Properties Browser. Retrieved November 17, 2022, from http://wavelets.pybytes.com/

Gregory R. Lee, Ralf Gommers, Filip Wasilewski, Kai Wohlfahrt, Aaron O’Leary (2019). PyWavelets: A Python package for wavelet analysis. Journal of Open Source Software, 4(36), 1237, https://doi.org/10.21105/joss.01237.

Olhede, S., & Walden, A. T. (2004). The Hilbert spectrum via wavelet projections. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 460(2044), 955–975. https://doi.org/10.1098/rspa.2003.1199

Maheswaran, R., & Khosa, R. (2012). Comparative study of different wavelets for hydrologic forecasting. Computers & Geosciences, 46, 284–295. https://doi.org/10.1016/j.cageo.2011.12.015