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Currently, the pycwt library includes a wavelet coherence (wct) function for measuring similarity between two signals. I propose the addition of a wavelet-based semblance function, as described by Cooper and Cowan (2008), to evaluate local phase relationships between time series as a function of both frequency and time. This method enhances the analysis of signal interactions by leveraging wavelet transforms to assess phase correlations, providing a more comprehensive understanding of temporal dynamics in multichannel data. Implementing this functionality will significantly improve the library's utility for researchers in fields such as geosciences and biomedical engineering etc.
Currently, the pycwt library includes a wavelet coherence (wct) function for measuring similarity between two signals. I propose the addition of a wavelet-based semblance function, as described by Cooper and Cowan (2008), to evaluate local phase relationships between time series as a function of both frequency and time. This method enhances the analysis of signal interactions by leveraging wavelet transforms to assess phase correlations, providing a more comprehensive understanding of temporal dynamics in multichannel data. Implementing this functionality will significantly improve the library's utility for researchers in fields such as geosciences and biomedical engineering etc.
Reference:
[1] G.R.J. Cooper, D.R. Cowan, "Comparing time series using wavelet-based semblance analysis," Computers & Geosciences, Volume 34, Issue 2, 2008, Pages 95-102, https://www.sciencedirect.com/science/article/pii/S0098300407001185.
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