On 2015 Jul 30, Marco Weiergräber commented:

In their response Dibue-Adjei and Schneider state that they have decided to sample and analyze beyond the nominal sampling rate of the transmitter and state that this is done by other groups as well. To prove this two references (Raver SM et al., 2013 and Black SW et al., 2014) are mentioned. First, sampling beyond the nominal sampling rate is virtuell and does not generate real data points. According to the Nyquist-Shannon sampling theorem, frequency reconstruction beyond half of the nominal sampling rate of the transmitter, i.e. 125 Hz in this case, is not possible. The Nyquist-Shannon limit has been violated in Dibue et al. (2013) Second, the references given (Raver SM et al., Black SW et al., 2014) do not support the statement of Dibue-Adjei and Scheider in their response. Gamma is analyzed up to 60 and 80 Hz respectively in both references. With a transmitter bandwidth of 1-50Hz this could be tolerable. However, unlike in Dibue et al. (2013), the Nyquist-Shannon limit of 125 Hz has not been violated in both references. Indeed, a literature screen does not reveal any violation of the Nyquist-Shannon limit despite those published in Dibue et al. (2013, 2014) and Kamp et al. (2014).

On 2015 Jul 30, Marco Weiergräber commented:

In their response Dibue-Adjei and Schneider state that they have decided to sample and analyze beyond the nominal sampling rate of the transmitter and state that this is done by other groups as well. To prove this two references (Raver SM et al., 2013 and Black SW et al., 2014) are mentioned. First, sampling beyond the nominal sampling rate is virtuell and does not generate real data points. According to the Nyquist-Shannon sampling theorem, frequency reconstruction beyond half of the nominal sampling rate of the transmitter, i.e. 125 Hz in this case, is not possible. The Nyquist-Shannon limit has been violated in Dibue et al. (2013) Second, the references given (Raver SM et al., Black SW et al., 2014) do not support the statement of Dibue-Adjei and Scheider in their response. Gamma is analyzed up to 60 and 80 Hz respectively in both references. With a transmitter bandwidth of 1-50Hz this could be tolerable. However, unlike in Dibue et al. (2013), the Nyquist-Shannon limit of 125 Hz has not been violated in both references. Indeed, a literature screen does not reveal any violation of the Nyquist-Shannon limit despite those published in Dibue et al. (2013, 2014) and Kamp et al. (2014).