64 lines
12 KiB
TeX
64 lines
12 KiB
TeX
\relax
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\providecommand\hyper@newdestlabel[2]{}
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\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
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\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
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\global\let\oldcontentsline\contentsline
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\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
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\global\let\oldnewlabel\newlabel
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\gdef\newlabel#1#2{\newlabelxx{#1}#2}
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\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
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\AtEndDocument{\ifx\hyper@anchor\@undefined
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\let\contentsline\oldcontentsline
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\global\let\hyper@last\relax
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\gdef\HyperFirstAtBeginDocument#1{#1}
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\providecommand\HyField@AuxAddToFields[1]{}
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\providecommand\HyField@AuxAddToCoFields[2]{}
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\babel@aux{english}{}
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\@writefile{toc}{\contentsline {section}{Introduction}{1}{section*.1}}
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\citation{Henninger2018}
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\citation{TODD1999322}
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\@writefile{toc}{\contentsline {section}{Materials and Methods}{2}{section*.2}}
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\@writefile{toc}{\contentsline {subsection}{Field site}{2}{subsection*.3}}
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\@writefile{toc}{\contentsline {subsection}{Field monitiring system}{2}{subsection*.4}}
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\@writefile{toc}{\contentsline {subsection}{Extraction of EOD frequencies}{2}{subsection*.5}}
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\@writefile{toc}{\contentsline {subsection}{EOD frequency tracking}{2}{subsection*.6}}
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\newlabel{sig.error}{{1}{2}{EOD frequency tracking}{equation.0.1}{}}
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\@writefile{toc}{\contentsline {section}{Results}{3}{section*.7}}
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\@writefile{toc}{\contentsline {subsection}{Tracking of individual EODs}{3}{subsection*.8}}
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\@writefile{toc}{\contentsline {subsubsection}{EOD signal tracking parameter: $\Delta $-EODf (EOD frequency difference)}{3}{subsubsection*.9}}
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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Spectrogram and part of EOD frequency traces from EOD signals of multiple fish including two EOD frequency traces crossing in the course of an EOD frequency rise. Single EOD signals marked in green and yellow form potential candidates to be connected to the EOD signal marked in black. The yellow and green bar represent the respective EOD frequency errors $\Delta f_0$ and $\Delta f_1$, as part of the tracking algorithm.\relax }}{3}{figure.caption.10}}
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\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
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\newlabel{dEODf}{{1}{3}{Spectrogram and part of EOD frequency traces from EOD signals of multiple fish including two EOD frequency traces crossing in the course of an EOD frequency rise. Single EOD signals marked in green and yellow form potential candidates to be connected to the EOD signal marked in black. The yellow and green bar represent the respective EOD frequency errors $\Delta f_0$ and $\Delta f_1$, as part of the tracking algorithm.\relax }{figure.caption.10}{}}
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\@writefile{toc}{\contentsline {subsubsection}{EOD signal tracking paramete: $\Delta $-F (EOD field difference)}{4}{subsubsection*.11}}
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\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Electric field properties deducted from EOD frequency power on different electrodes of potential partners in the course of tracking, respective to fig.\ref {dEODf}. Field properties on the left (green and yellow signal in fig.\ref {dEODf}) are compared to the field properies on the right (black signal in fig.\ref {dEODf}). The centered top field difference results from the substraction of the field properties of the green and black signal in fig.\ref {dEODf}, the centered bottom respectively the difference between the yellow and black signal. $\Delta field_0$ and $\Delta field_1$ represent the root-mean-square-error of the respective difle differences.\relax }}{4}{figure.caption.12}}
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\newlabel{dField}{{2}{4}{Electric field properties deducted from EOD frequency power on different electrodes of potential partners in the course of tracking, respective to fig.\ref {dEODf}. Field properties on the left (green and yellow signal in fig.\ref {dEODf}) are compared to the field properies on the right (black signal in fig.\ref {dEODf}). The centered top field difference results from the substraction of the field properties of the green and black signal in fig.\ref {dEODf}, the centered bottom respectively the difference between the yellow and black signal. $\Delta field_0$ and $\Delta field_1$ represent the root-mean-square-error of the respective difle differences.\relax }{figure.caption.12}{}}
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\@writefile{toc}{\contentsline {subsubsection}{Error values composed from $\Delta $-EODf and $\Delta $-Field}{5}{subsubsection*.13}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Determination of relative field and EOD frequency errors. Up: All possible field errors of signals within a time window of 30\tmspace +\thinmuskip {.1667em}s (3 $\times $ compare range) showing a maximum EOD frequency differen of 10\tmspace +\thinmuskip {.1667em}Hz were colected as possible field error distribution. Its cumulative sum histogram is displayed in red. Relative field errors for both, $\Delta field_0$ and $\Delta field_1$, are difined as the proportion of possible field errors smaller than the respective field errors. Smaller field errors result in smaller relative field errors and, thus, increase the likelihood of two signals belonging to one identity. Down: Relative frequency errors are calculated based on a boltzmann function. Relative frequency errors above 1\tmspace +\thinmuskip {.1667em}Hz already represent a special event within a EOD frequency trace and, thus, result in the maximum relative frequency error.\relax }}{5}{figure.caption.14}}
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\newlabel{rel_errors}{{3}{5}{Determination of relative field and EOD frequency errors. Up: All possible field errors of signals within a time window of 30\,s (3 $\times $ compare range) showing a maximum EOD frequency differen of 10\,Hz were colected as possible field error distribution. Its cumulative sum histogram is displayed in red. Relative field errors for both, $\Delta field_0$ and $\Delta field_1$, are difined as the proportion of possible field errors smaller than the respective field errors. Smaller field errors result in smaller relative field errors and, thus, increase the likelihood of two signals belonging to one identity. Down: Relative frequency errors are calculated based on a boltzmann function. Relative frequency errors above 1\,Hz already represent a special event within a EOD frequency trace and, thus, result in the maximum relative frequency error.\relax }{figure.caption.14}{}}
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\@writefile{toc}{\contentsline {subsubsection}{Frequency error determination}{6}{subsubsection*.15}}
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\@writefile{toc}{\contentsline {subsubsection}{Field error determination}{6}{subsubsection*.16}}
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\@writefile{toc}{\contentsline {subsubsection}{Total error definition}{6}{subsubsection*.17}}
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\@writefile{toc}{\contentsline {subsubsection}{Assign temporal EOD frequency traces}{6}{subsubsection*.18}}
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\@writefile{toc}{\contentsline {subsubsection}{Running connection}{6}{subsubsection*.21}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces ---\relax }}{7}{figure.caption.19}}
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\newlabel{tmp_idents}{{4}{7}{---\relax }{figure.caption.19}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Pre sorting of EOD signals into temporal identities. A-C: Detected origin signals within a 30\tmspace +\thinmuskip {.1667em}s time window can be assigned to target signals with a maximum time lag of 10\tmspace +\thinmuskip {.1667em}s. Signals are assigned to each other based on their respective error values. The resulting temporal identity traces are formed based on the lowest possible error values. D: Error values of possible origin signals and target signals sorted by their temporal occurance. E: Eror values of possible origin signals and target signals sorted by their temporal identity. Only every second identity is displayed indicated for plotting reasons.\relax }}{8}{figure.caption.20}}
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\newlabel{error_matrix}{{5}{8}{Pre sorting of EOD signals into temporal identities. A-C: Detected origin signals within a 30\,s time window can be assigned to target signals with a maximum time lag of 10\,s. Signals are assigned to each other based on their respective error values. The resulting temporal identity traces are formed based on the lowest possible error values. D: Error values of possible origin signals and target signals sorted by their temporal occurance. E: Eror values of possible origin signals and target signals sorted by their temporal identity. Only every second identity is displayed indicated for plotting reasons.\relax }{figure.caption.20}{}}
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\@writefile{toc}{\contentsline {subsection}{d-EODf and d-Field of same identity signals vs. non-same identity signals}{8}{subsection*.23}}
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\@writefile{toc}{\contentsline {subsection}{Roc analysis}{8}{subsection*.26}}
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\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Running connection. A: Temporal identities assigned via lowest error value connections. The black and grey bars together indicate the whole data snippet temporal identities have been assigned before. Connections within the grey areas are assumed to be unsteady since signals within compare range but outside the gray are could point to those signals as well but are neglected in this particular temporal identity assignment. Connections within the black bar area indicate valid connections since every signal possible connected to those signals lie within the temporal assignment range. B: Already assigned identities, i.e. potential connection partners for the temporal identities to assigne, are shown. C: The yellow and green signals (already discussed in fig. \ref {dEODf} and fig. \ref {dField}) represent the origin signals of the respective identities to best fit to a signal of one temporal identity, indicated in black. The yellow-to-black error is lower than the green-to-black error. D: Signals of temporal identities got assigned to signals of already assigned identities based on their lowest error value to each other.\relax }}{9}{figure.caption.22}}
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\newlabel{running_connection}{{6}{9}{Running connection. A: Temporal identities assigned via lowest error value connections. The black and grey bars together indicate the whole data snippet temporal identities have been assigned before. Connections within the grey areas are assumed to be unsteady since signals within compare range but outside the gray are could point to those signals as well but are neglected in this particular temporal identity assignment. Connections within the black bar area indicate valid connections since every signal possible connected to those signals lie within the temporal assignment range. B: Already assigned identities, i.e. potential connection partners for the temporal identities to assigne, are shown. C: The yellow and green signals (already discussed in fig. \ref {dEODf} and fig. \ref {dField}) represent the origin signals of the respective identities to best fit to a signal of one temporal identity, indicated in black. The yellow-to-black error is lower than the green-to-black error. D: Signals of temporal identities got assigned to signals of already assigned identities based on their lowest error value to each other.\relax }{figure.caption.22}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Random caption\relax }}{10}{figure.caption.24}}
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\newlabel{EODf_error_shift}{{7}{10}{Random caption\relax }{figure.caption.24}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Random caption\relax }}{10}{figure.caption.25}}
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\newlabel{Field_error_shift}{{8}{10}{Random caption\relax }{figure.caption.25}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Random caption\relax }}{11}{figure.caption.27}}
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\newlabel{ROC}{{9}{11}{Random caption\relax }{figure.caption.27}{}}
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\bibdata{bibliography}
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\bibcite{Henninger2018}{{1}{2018}{{Henninger et~al.}}{{}}}
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\bibcite{TODD1999322}{{2}{1999}{{Todd and Andrews}}{{}}}
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\bibstyle{apalike}
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