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added notes to nonlinear papers

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@ -524,14 +524,21 @@ We can find nonlinearities in many sensory systems such as rectification in the
In the auditory or the active electric sense, for example, nonlinear processes are needed to extract envelopes, i.e. amplitude modulations of a carrier signal\cite{Joris2004, Barayeu2023} called beats. Beats are common stimuli in different sensory modalities enabling rhythm and pitch perception in human hearing \cite{Roeber1834, Plomp1967, Joris2004, Grahn2012} and providing context for electrocommunication in weakly electric fish \cite{Engler2001, Hupe2008, Henninger2018, Benda2020}.
\notejb{Wo genau soll die Einleitung hinzielen? Das ist bis jetzt eine Ansammlung von Aussagen zum Thema nonlinearities und irgendwie schleicht sich da der Fisch noch rein.}
\notejb{What are the main findings of the manuscript? (i) 2nd order susceptibility can be measured using RAM stimuli, (ii) we see a bit of nonlinearity in low-CV P-units and strong one in ampullary cells. (ii) We find stuff, that matches the theoretical predictions (Voronekov) (iii) AMs with carrier (auditory) (iv) There is an estimation problem because of low N and RAM stimulus introducing linearizing noise. (v) noise split gives a good estimate that translates well to pure sine wave stimulation.}
\notejb{Strong aspects are (i) how to estimate 2nd order susceptibilities, (ii) what do they tell us about relevant stimuli, (iii) nonlinearities show up only for very specific frequencies}
\notejb{For the estimation problem we need to cite work that also measured higher order Wiener kernels and filters (we need to find the Andrew French paper, who else? Gabbiani? John Miller?). For nonlinear encoding we need to talk about linear-nonlinear models (Chinchilinsky, Gollisch, Jan Clemens) versus Wiener series (French). And we find nonlinear responses in neurons that have been considered as quite linear, but only at specific frequency combinations and low signal amplitudes.}
\notejb{\cite{French1973} Derivation of the Fourier transformed kernels measured with white noise.}
\notejb{\cite{French1976} Technical issues and tests of Fourier transformed kernels measured with white noise.}
\notejb{\cite{Victor1977} Cat retinal ganglion cells, gratings with sum of 6 or 8 sinusoids. X - versus Y cells. Peak at f1 == f2 in Y cells. X-cells rather linear. Discussion of mechanism, where a nonlinearity comes in along the pathway}
\notejb{\cite{Marmarelis1972} Temporal 2nd order kernels, how well do kernels predict responses}
\notejb{\cite{Victor1988} Cat retinal ganglion cells, sum of sinusoids, very technical, one measurement similar to \citep{Victor1977}.}
\notejb{\citep{Mitsis2007} Spider mechanorecptor. Linear filterss, multivariate nonlinearity, and threshold. Second order kernel needed for this. Gausian noise stimuli.}
\notejb{\citep{French2001} Time kernels up to 3rd order for predicting spider mechanorecptor responses (spikes!)}
\notejb{\citep{French1999} Review on time domoin nonlinear systems identification}
\noteab{The nonlinearity of a system has been accessed with the use of wiener kernels \cite{French1973,French1976}, measuring the system response to white noise stimulation. Besides that the nonlinearity of a system has been addressed by pure sinewave simulation, considering the Fourier transform of the Volterra series \cite{Victor1977,Victor1980,Shapley1979}. The estimates of the nonlinearity with both methods, white noise and sinewave stimulation, was shown to yield similar results \cite{Vitor1979}. Nonlinearity was investigated, not addressing the system properties, but focusing on the quadratic phase coupling of the two input frequencies \cite{Nikias1993, Neiman2011fish}. With these approaches nonlinearity at the sum of two input frequencies was quantified in retinal cells \cite{Shapley1979} for stimuli with small amplitudes, in ampullary cells \cite{Neiman2011fish}, in the EEG of sleep \cite{Barnett1971,Bullock1997} and in mechanorecetors \cite{French1976}. Second-order responses have been quantified in not amplitude modulated \cite{Neiman2011fish} and amplitude modulated systems \cite{Victor1977,Victor1980,Shapley1979}.}