everything for 1ms kernels

rebuttal2.tex

@@ -229,13 +229,15 @@
   P-units, but "much stronger" does not clearly convey this,
   especially in the abstract.}
 
-\response{We changed the sentence to ``...  we identify these predicted nonlinear responses primarily in low-noise P-units and in more than every second ampullary cell.''}
+\response{We changed the sentence to ``...  we identify these
+  predicted nonlinear responses primarily in a few low-noise P-units
+  and in more than every second ampullary cell.''}
 
 \issue{(3) Figure 1A. "r" needs to be clearly defined here. Based on
   the text, it seems to be the baseline firing rate of the neuron, but
   this needs to be made clear in the figure legend.}
 
-\response{We added a brief sentence to the caption.}
+\response{We added a brief explanatory sentence to the caption.}
 
 \issue{(4) Figure 1B. "Because frequencies can also be negative..."
   This is unclear and needs more explanation, especially because there
@@ -251,15 +253,15 @@
   clipped in these two figures.}
 
 \response{You are right. In figure 4 we show now the spectrum up to
-  750Hz, such that fEOD and its interactions with df2 and harmonics
-  are included. We labeled the additonal peaks accordingly. In figure
-  3 we stay with the small range, because we have so little data (only
-  three trials of 500ms duration) for this special setting where one
-  of the beat frequencies approximately matches the P-units baseline
-  firing rate. This is why the power spectra are very noisy. Also, for
-  an introductory figure we prefer to only show the few peaks that are
-  relevant for the rest of the manuscript, such that the reader does
-  not get overwhelmed.  }
+  750\,Hz, such that $f_{EOD}§ and its interactions with $\Delta f_2$
+  and harmonics are included. We labeled the additonal peaks
+  accordingly. In figure 3 we stay with the small range, because we
+  have so little data for this special setting where one of the beat
+  frequencies approximately matches the P-units baseline firing rate
+  (only three trials of 500ms duration). This is why the power
+  spectra are very noisy. Also, for an introductory figure we prefer
+  to only show the few peaks that are relevant for the rest of the
+  manuscript, such that the reader does not get overwhelmed.}
 
 \issue{(6) Figure 3. Why are these example firing rates based on
   convolution with a 1 ms Gaussian kernel if the analyses were based
@@ -268,15 +270,34 @@
   actually analyzed. More fundamentally, why would a 2-fold difference
   in kernel width be appropriate for presentation vs. analysis?}
 
-\response{This was for historical reasons. We updated figure 3 to also
-  use the 2ms kernel. Now all firing rates in the manuscript are based
-  on the 2ms kernel.}
+\response{This was for historical reasons. We now decided to use the
+  1\,ms kernel for all figures and analysis. In doing so we also added
+  panels showing firing rates in addition to the response spectra in
+  figure 4. Using the more narrow kernel better reveals the details of
+  the time course of the firing rate and this way improves the
+  connection between the firing rate and the response spectra. In
+  figure 10, middel column, the range of possible values of the
+  response modulations is a bit enlarged by using the 1\,ms kernel,
+  but the correlations and their significance did not change a lot
+  either.}
 
 \issue{(7) Figure 3D legend. The relationship between 2nd order AM
   (envelope) and the two nonlinear peaks should be made clear. I
   believe the envelope is represented by both peaks, correct?}
 
-\response{ADD SENTENCE.}
+\response{No, what is shown is the power spectrum of the spike
+  response, not the one of the amplitude modulation or envelope of the
+  stimulus. We added a sentence to the end of the figure caption to
+  make this clear.}
+
+\response{If it were the power spectrum of the signal after it passed
+  a non-linearity (rectification or threhsolding at zero), then there
+  could be also peaks at the sum and difference of the beat
+  frequencies. However, since they are close to the higher one of the
+  two beat frequencies they do not show up in the AM as obviously as
+  for the settings used in the social envelope papers by Eric Fortune
+  and Andre Longtin and colleges (I guess this is what you have in
+  mind).}
 
 \issue{(8) Line 302. "not-small amplitude" is arbitrary and
   vague. Please be clearer and more precise.}