Wrote some text :)
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j-hartling
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18
cite.bib
18
cite.bib
@ -82,7 +82,8 @@
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volume={196},
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pages={285--297},
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year={2010},
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}
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}# Cited
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@article{creutzig2010timescale,
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title={Timescale-invariant pattern recognition by feedforward inhibition and parallel signal processing},
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author={Creutzig, Felix and Benda, Jan and Wohlgemuth, Sandra and Stumpner, Andreas and Ronacher, Bernhard and Herz, Andreas VM},
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@ -106,7 +107,8 @@
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volume={32},
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pages={17332--17344},
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year={2012},
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}
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}# Cited
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@article{gollisch2002energy,
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title={Energy integration describes sound-intensity coding in an insect auditory system},
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author={Gollisch, Tim and Sch{\"u}tze, Hartmut and Benda, Jan and Herz, Andreas VM},
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@ -114,7 +116,8 @@
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volume={22},
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pages={10434--10448},
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year={2002},
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}
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}# Cited
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@article{hennig2014time,
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title={Time and timing in the acoustic recognition system of crickets},
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author={Hennig, R Matthias and Heller, Klaus-Gerhard and Clemens, Jan},
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@ -162,7 +165,8 @@
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volume={38--40},
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pages={263--268},
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year={2001},
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}
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}# Cited
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@article{machens2001representation,
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title={Representation of acoustic communication signals by insect auditory receptor neurons},
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author={Machens, Christian K and Stemmler, Martin B and Prinz, Petra and Krahe, R{\"u}diger and Ronacher, Bernhard and Herz, Andreas VM},
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@ -170,7 +174,8 @@
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volume={21},
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pages={3215--3227},
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year={2001},
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}
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}# Cited
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@article{malkin2014energy,
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title={Energy localization and frequency analysis in the locust ear},
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author={Malkin, Robert and McDonagh, Thomas R and Mhatre, Natasha and Scott, Thomas S and Robert, Daniel},
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@ -274,7 +279,8 @@
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volume={10},
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pages={533--546},
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year={1960},
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}
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}# Cited
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@article{tarasova2021biguttulus,
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title={{Songs and morphology in three species of the Chorthippus biguttulus group (Orthoptera, Acrididae, Gomphocerinae) in Russia and adjacent countries}},
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author={Tarasova, Tatiana and Tishechkin, Dmitry and Vedenina, Varvara},
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36
main.aux
36
main.aux
@ -18,8 +18,14 @@
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\abx@aux@segm{0}{0}{windmill2008time}
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\abx@aux@cite{0}{malkin2014energy}
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\abx@aux@cite{0}{clemens2011efficient}
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\abx@aux@segm{0}{0}{clemens2011efficient}
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\abx@aux@cite{0}{machens2001discrimination}
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\abx@aux@segm{0}{0}{machens2001discrimination}
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\abx@aux@cite{0}{machens2001representation}
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\abx@aux@segm{0}{0}{machens2001representation}
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\abx@aux@cite{0}{suga1960peripheral}
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\abx@aux@cite{0}{gollisch2002energy}
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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Grasshopper auditory system}}{3}{}\protected@file@percent }
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\newlabel{fig:pathway}{{1}{3}{}{}{}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Population-driven signal pre-processing}{3}{}\protected@file@percent }
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@ -28,30 +34,42 @@
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\abx@aux@page{6}{3}
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\newlabel{eq:bandpass}{{1}{3}{}{}{}}
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\abx@aux@page{7}{3}
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\abx@aux@page{8}{3}
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\newlabel{eq:env}{{2}{3}{}{}{}}
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\abx@aux@cite{0}{clemens2011efficient}
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\abx@aux@segm{0}{0}{clemens2011efficient}
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\newlabel{eq:env}{{2}{4}{}{}{}}
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\abx@aux@cite{0}{clemens2011efficient}
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\abx@aux@segm{0}{0}{clemens2011efficient}
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\abx@aux@page{9}{4}
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\abx@aux@page{10}{4}
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\abx@aux@page{11}{4}
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\abx@aux@page{12}{4}
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\abx@aux@page{13}{4}
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\newlabel{eq:highpass}{{4}{4}{}{}{}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Feature extraction by individual neurons}{4}{}\protected@file@percent }
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\abx@aux@page{8}{4}
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\abx@aux@page{14}{4}
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\@writefile{toc}{\contentsline {section}{\numberline {3}Two mechanisms driving the emergence of intensity-invariant song representation}{5}{}\protected@file@percent }
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\newlabel{eq:toy_env}{{9}{5}{}{}{}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Threshold nonlinearity \& temporal averaging}{6}{}\protected@file@percent }
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\newlabel{eq:pdf_split}{{13}{6}{}{}{}}
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\newlabel{eq:pdf}{{14}{6}{}{}{}}
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\newlabel{eq:feat_avg}{{15}{6}{}{}{}}
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\@writefile{toc}{\contentsline {section}{\numberline {4}Discriminating species-specific song\\patterns in feature space}{8}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {5}Conclusions \& outlook}{8}{}\protected@file@percent }
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\gdef\svg@ink@ver@settings{{\m@ne }{inkscape}{\m@ne }}
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\abx@aux@read@bbl@mdfivesum{30F059979BE6776947A91FBA35B9AE52}
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282
main.bbl
282
main.bbl
@ -139,6 +139,260 @@
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\field{pages}{12136\bibrangedash 12145}
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\range{pages}{10}
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\endentry
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|
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|
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|
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|
||||
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|
||||
\field{volume}{10}
|
||||
\field{year}{1960}
|
||||
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|
||||
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|
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|
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|
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|
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|
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|
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51
main.tex
51
main.tex
@ -126,18 +126,40 @@ $\rightarrow$ More general, simpler, unfitted formalized Gabor filter bank
|
||||
\subsection{Population-driven signal pre-processing}
|
||||
|
||||
Grasshoppers receive airborne sound waves by a tympanal organ at each side of
|
||||
the thorax. The tympanal membrane~(Fig.\,\ref{fig:pathway}) vibrates in
|
||||
response to incoming sound waves in a frequency-dependent manner: Vibrations of
|
||||
specific frequencies are focused on different membrane areas, while other
|
||||
frequencies are attenuated~(\mbox{\cite{michelsen1971frequency}};
|
||||
the thorax~(Fig.\,\ref{fig:pathway}a). The tympanal membrane acts as a mechanical resonance filter:
|
||||
Vibrations of specific frequencies are focused on different membrane areas,
|
||||
while other frequencies are attenuated~(\mbox{\cite{michelsen1971frequency}};
|
||||
\mbox{\cite{windmill2008time}}; \mbox{\cite{malkin2014energy}}). This
|
||||
mechanical resonance filter can be modelled by an initial bandpass filter
|
||||
processing step can be approximated by an initial bandpass filter
|
||||
\begin{equation}
|
||||
\filt(t)\,=\,\raw(t)\,*\,\bp, \qquad \fc\,=\,5\,\text{kHz},\,30\,\text{kHz}
|
||||
\label{eq:bandpass}
|
||||
\end{equation}
|
||||
applied to the acoustic input signal $\raw(t)$.
|
||||
|
||||
applied to the acoustic input signal $\raw(t)$. The auditory receptor neurons
|
||||
connect directly to the tympanal membrane and transduce mechanical vibrations
|
||||
into electro-chemical potentials. The receptor population is substrate to
|
||||
several known signal processing steps. First, the receptors extract
|
||||
the signal envelope~(\mbox{\cite{machens2001discrimination}}), which likely
|
||||
involves a rectifying nonlinearity~(\mbox{\cite{machens2001representation}}).
|
||||
This can be modelled as full-wave rectification followed by lowpass filtering
|
||||
\begin{equation}
|
||||
\env(t)\,=\,|\filt(t)|\,*\,\lp, \qquad \fc\,=\,500\,\text{Hz}
|
||||
\label{eq:env}
|
||||
\end{equation}
|
||||
of the tympanal signal $\filt(t)$. Furthermore, the receptors exhibit a
|
||||
sigmoidal response curve over logarithmically compressed intensity
|
||||
levels~(\mbox{\cite{suga1960peripheral}}; \mbox{\cite{gollisch2002energy}}). In
|
||||
the model, logarithmic compression is achieved by conversion to decibel scale
|
||||
\begin{equation}
|
||||
\db(t)\,=\,10\,\cdot\,\dec \frac{\env(t)}{\dbref}, \qquad \dbref\,=\,\max[\env(t)]
|
||||
\label{eq:log}
|
||||
\end{equation}
|
||||
relative to the maximum intensity $\dbref$ of the signal envelope $\env(t)$.
|
||||
Next, the axons of the receptor neurons project into the metathoracic ganglion,
|
||||
where they synapse onto local interneurons~(Fig.\,\ref{fig:pathway}b). Both the
|
||||
auditory receptors~(\mbox{\cite{fisch2012channel}}) and the subsequent
|
||||
interneurons~(\mbox{\cite{clemens2010intensity}}) display spike-frequency
|
||||
adaptation.
|
||||
|
||||
|
||||
|
||||
@ -154,22 +176,13 @@ Initial: Continuous acoustic input signal $x(t)$
|
||||
|
||||
Filtering of behaviorally relevant frequencies by tympanal membrane\\
|
||||
$\rightarrow$ Bandpass filter 5-30 kHz
|
||||
|
||||
Extraction of signal envelope (AM encoding) by receptor population\\
|
||||
$\rightarrow$ Full-wave rectification, then lowpass filter 500 Hz
|
||||
%
|
||||
\begin{equation}
|
||||
\env(t)\,=\,|\filt(t)|\,*\,\lp, \qquad \fc\,=\,500\,\text{Hz}
|
||||
\label{eq:env}
|
||||
\end{equation}
|
||||
%
|
||||
|
||||
Logarithmically compressed intensity tuning curve of receptors\\
|
||||
$\rightarrow$ Decibel transformation
|
||||
%
|
||||
\begin{equation}
|
||||
\db(t)\,=\,10\,\cdot\,\dec \frac{\env(t)}{\dbref}, \qquad \dbref\,=\,\max[\env(t)]
|
||||
\label{eq:log}
|
||||
\end{equation}
|
||||
%
|
||||
|
||||
Spike-frequency adaptation in receptor and interneuron populations\\
|
||||
$\rightarrow$ Highpass filter 10 Hz
|
||||
%
|
||||
|
||||
Loading…
Reference in New Issue
Block a user