Averaged global wavelet spectrum (AGWS)

The global wavelet spectra (GWS) for all individual (e.g., time) series presented in the original (e.g., space-time) diagram are compute and integrated to get the averaged global wavelet spectrum (AGWS).

The AGWS enables to select convenient (e.g., period) range limits L. They are used for the separations in the ranges PR, e.g., PR1 < L1, PR2 > L1, PR3 = L1-L2 (i.e. period range from L1 up to L2).

Newly reconstructed diagrams are computed separately for the individual PR (e.g., PR1). Additionally, we can select (e.g., time) series in each new diagram to compute their corresponding wavelet power spectra.

Some of these diagrams can consist of possible instrument interferences, thus the others will be without them. The main goal is to obtain diagram(s) without the interferences as well as the intensive emission (e.g., continuum). This means the diagram(s) with the fine structures under interest (if they exist in the original map).

Since the tadpole wave train consists of short-, middle-, and long-period components, the AGWS curve exhibited a straight part with no dominant peaks. This type of straight part may be the first signature of the these waves.

We can use (arbitrary series, e.g., frequency or spatial ones).