Here Continuous Wavelet Transforms (CWTs) are computed with the 'wt' function of the R package 'biwavelet'.
For more information about Continuous Wavelet Transforms, please refer to:
Info
You might access different kinds of wavelet-related information:
- wavelet: Wavelet coefficients: \(W_{s,x}\)
- power: Wavelet power\(\mid\mid W_{s,x}\mid\mid\)
- power.corr.norm: Bias-corrected and normalized wavelet power. Normalization consists in dividing coefficients by the variance of $Y$. For more details about the method for correction see:
Liu, Yonggang, X. San Liang, and Robert H. Weisberg.
2007.
"Rectification of the Bias in the Wavelet Power Spectrum."
Journal of Atmospheric and Oceanic Technology
24 (12): 2093-2102.
Plot types
You might plot the wavelet information in 3 different ways.
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Info=f(x,T): plots the information according to location (x) and period (T).
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Info=f(x): plots the information according to location (x), for a certain value of period T0
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Power=f(T): plots power according to period (T). This information is averaged accross all locations x. For a given period T0, the range (light grey) and first and third quartiles (dark grey) of wavelet power coefficients are displayed.