In your ANTS book, chapter 19.6 and 26.5 talk about ITPC/ISPC and power. It was proved that connectivity would not be influenced when the signal amplitude was dampened or enlarged considerably. Therefore, connectivity could be interpreted independent of power as long as power is not zero. However, when the amplitude of signal was adjusted by multiplying some extreme numbers (e.g. 0.0001), the signal-noise-ratio (SNR) would not change. Just as the paper Muthukumaraswamy and Singh 2011 showed, low SNR affected connectivity. My question is how to rule out low SNR’s influence on functional connectivity (e.g. ISPC, WPLI).
All the best,