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.

1. Info=f(x,T): plots the information according to location (x) and period (T).
2. Info=f(x): plots the information according to location (x), for a certain value of period T₀
3. 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.