When using the partial wavelet coherence or multiple wavelet coherence software,
please refer to:

Ng, E. K. W. and J. C. L. Chan, 2012: Geophysical application of partial wavelet coherence and multiple wavelet coherence. J. Atmos. Oceanic Technol., doi: 10.1175/JTECH-D-12-00056.1. Link

Instead of just introducing the application of partial wavelet coherence and multiple wavelet coherence in geophysics, this paper also gives a summary review on the basics of wavelet analysis, including the continuous wavelet transform, cross wavelet transform and phase angle, and wavelet coherence, which are essential for a better understand of partial wavelet coherence and multiple wavelet coherence.

Users are highly recommended to read the paper of Torrence and Compo (1998) and Grinsted et al. (2004) for more fundamental principals on wavelet applications.


Grinsted, A., J. C. Moore and S. Jevrejeva, 2004: Application of the cross wavelet transform and wavelet coherence to geophysical time seres. Nonlin. Process. Geophys., 11, 561-566.

Liu, Y., X. S. Liang, R. H. Weisberg, 2007: Rectification of the bias in the wavelet power spectrum, J. Atmos. Oceanic Technol., 24, 2093-2012.

Maraun, D. and J. Kruths, 2004: Cross wavelet analysis: significance testing and pitfalls. Nonlini Process. Geophys., 11, 505-514.

Torrence, C. and G. P. Compo, 1998: A practical guide to wavelet  analysis. Bull. Amer. Meteor. Soc., 79, 61-78.

Veleda, D., R. Montagne, and M. Araújo, 2012: Cross wavelet bias corrected by normalizing scales. J. Atmos. Oceanic Technol., doi:10.1175/JTECH-D-11-00140.1.

Should there be any enquiry, please feel free to contact:
Eric K. W. Ng