\relax \@writefile{toc}{\contentsline {section}{\numberline {6}GRASP Routines: Gravitational Radiation from Binary Inspiral}{130}{section.6}} \newlabel{s:inspiral}{{6}{130}{GRASP Routines: Gravitational Radiation from Binary Inspiral\relax }{section.6}{}} \newlabel{e:tsolar}{{6.0.2}{130}{GRASP Routines: Gravitational Radiation from Binary Inspiral\relax }{equation.6.0.1}{}} \citation{biww} \citation{willwiseman} \citation{blanchet:1996} \citation{cutleretal} \citation{lincolnwill} \@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Chirp generation routines}{131}{subsection.6.1}} \@writefile{brf}{\backcite{biww}{{131}{6.1}{subsection.6.1}}} \@writefile{brf}{\backcite{willwiseman}{{131}{6.1}{subsection.6.1}}} \@writefile{brf}{\backcite{blanchet:1996}{{131}{6.1}{subsection.6.1}}} \@writefile{brf}{\backcite{cutleretal,lincolnwill}{{131}{6.1}{subsection.6.1}}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Function: {\tt phase\_frequency()}}{132}{subsection.6.2}} \newlabel{ss:phase_frequency}{{6.2}{132}{Function: {\tt phase\_frequency()}\relax }{subsection.6.2}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.3}Example: {\tt phase\_evoltn} program}{134}{subsection.6.3}} \newlabel{ss:phase_evoltn}{{6.3}{134}{Example: {\tt phase\_evoltn} program\relax }{subsection.6.3}{}} \citation{biww} \citation{bdiww} \@writefile{toc}{\contentsline {subsection}{\numberline {6.4}Detailed explanation of {\tt phase\_frequency()} routine}{137}{subsection.6.4}} \@writefile{brf}{\backcite{biww}{{137}{6.4}{subsection.6.4}}} \newlabel{e:frequencyns}{{6.4.1}{137}{Detailed explanation of {\tt phase\_frequency()} routine\relax }{equation.6.4.1}{}} \newlabel{e:phasens}{{6.4.2}{137}{Detailed explanation of {\tt phase\_frequency()} routine\relax }{equation.6.4.2}{}} \newlabel{e:theta}{{6.4.3}{137}{Detailed explanation of {\tt phase\_frequency()} routine\relax }{equation.6.4.3}{}} \@writefile{brf}{\backcite{bdiww}{{137}{6.4}{equation.6.4.3}}} \@writefile{lof}{\contentsline {figure}{\numberline {24}{\ignorespaces Orbital frequency as a function of the ``time'' coordinate $X=\mathopen {\hbox {$\left (\vbox to14.5\p@ {}\right .\nulldelimiterspace \z@ \mathsurround \z@ $}} {\eta (t_c-t) M_\odot \over 5 T_\odot m_{\rm tot} } \mathclose {\hbox {$\left )\vbox to14.5\p@ {}\right .\nulldelimiterspace \z@ \mathsurround \z@ $}}^{1/8}$. }}{138}{figure.24}} \newlabel{f:pNcutoff}{{24}{138}{Detailed explanation of {\tt phase\_frequency()} routine\relax }{figure.24}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.5}Function: {\tt chirp\_filters()}}{139}{subsection.6.5}} \newlabel{ss:chirp_filters}{{6.5}{139}{Function: {\tt chirp\_filters()}\relax }{subsection.6.5}{}} \citation{willwiseman} \citation{willwiseman} \@writefile{toc}{\contentsline {subsection}{\numberline {6.6}Detailed explanation of {\tt chirp\_filters()} routine}{141}{subsection.6.6}} \newlabel{e:chirpcos}{{6.6.1}{141}{Detailed explanation of {\tt chirp\_filters()} routine\relax }{equation.6.6.1}{}} \newlabel{e:chirpsin}{{6.6.2}{141}{Detailed explanation of {\tt chirp\_filters()} routine\relax }{equation.6.6.2}{}} \@writefile{brf}{\backcite{willwiseman}{{141}{6.6}{equation.6.6.4}}} \@writefile{brf}{\backcite{willwiseman}{{141}{6.6}{equation.6.6.5}}} \newlabel{e:psidef}{{6.6.6}{141}{Detailed explanation of {\tt chirp\_filters()} routine\relax }{equation.6.6.6}{}} \newlabel{e:psiphi}{{6.6.7}{142}{Detailed explanation of {\tt chirp\_filters()} routine\relax }{equation.6.6.7}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.7}Example: {\tt filters} program}{143}{subsection.6.7}} \newlabel{ss:filters}{{6.7}{143}{Example: {\tt filters} program\relax }{subsection.6.7}{}} \@writefile{lof}{\contentsline {figure}{\numberline {25}{\ignorespaces The zero-phase chirp waveform from a $2 \times 1.4 M_\odot $ binary system, starting at an orbital frequency of 60 Hz. The top graph shows the frequency of the dominant quadrupole radiation as a function of time, and the middle graph shows the waveform. The bottom graph shows a 40-msec stretch near the final inspiral/plunge.}}{144}{figure.25}} \newlabel{f:chirp}{{25}{144}{Example: {\tt filters} program\relax }{figure.25}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.8}Practical Suggestion for Setting Up a Large Bank of Filters:}{145}{subsection.6.8}} \newlabel{ss:practical}{{6.8}{145}{Practical Suggestion for Setting Up a Large Bank of Filters:\relax }{subsection.6.8}{}} \citation{willwiseman} \@writefile{toc}{\contentsline {subsection}{\numberline {6.9}Additional contributions to the phase and frequency of the chirp}{146}{subsection.6.9}} \newlabel{ss:additional}{{6.9}{146}{Additional contributions to the phase and frequency of the chirp\relax }{subsection.6.9}{}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.9.1}Spin Effects}{146}{subsubsection.6.9.1}} \newlabel{sss:spin}{{6.9.1}{146}{Spin Effects\relax }{subsubsection.6.9.1}{}} \@writefile{brf}{\backcite{willwiseman}{{146}{6.9.1}{subsubsection.6.9.1}}} \newlabel{e:frequencyspin}{{6.9.1}{146}{Spin Effects\relax }{equation.6.9.1}{}} \newlabel{e:phasespin}{{6.9.2}{146}{Spin Effects\relax }{equation.6.9.2}{}} \citation{bdiww} \newlabel{e:chi_defn}{{6.9.3}{147}{Spin Effects\relax }{equation.6.9.3}{}} \newlabel{e:spin_defn}{{6.9.6}{147}{Spin Effects\relax }{equation.6.9.5}{}} \newlabel{e:cgstogeom}{{6.9.8}{147}{Spin Effects\relax }{equation.6.9.8}{}} \@writefile{brf}{\backcite{bdiww}{{147}{6.9.1}{equation.6.9.8}}} \newlabel{spinhultay}{{6.9.9}{148}{Spin Effects\relax }{equation.6.9.9}{}} \citation{blanchet:1996} \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.9.2} 2.5 Post-Newtonian corrections to the inspiral chirp}{149}{subsubsection.6.9.2}} \newlabel{sss:post52}{{6.9.2}{149}{ 2.5 Post-Newtonian corrections to the inspiral chirp\relax }{subsubsection.6.9.2}{}} \@writefile{brf}{\backcite{blanchet:1996}{{149}{6.9.2}{Item.73}}} \newlabel{e:frequencyp52}{{6.9.1}{149}{ 2.5 Post-Newtonian corrections to the inspiral chirp\relax }{equation.6.9.1}{}} \newlabel{e:phasep52}{{6.9.2}{149}{ 2.5 Post-Newtonian corrections to the inspiral chirp\relax }{equation.6.9.2}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.10}Function: {\tt make\_filters()}}{151}{subsection.6.10}} \newlabel{ss:make_filters}{{6.10}{151}{Function: {\tt make\_filters()}\relax }{subsection.6.10}{}} \citation{cutler:1994} \citation{droz:1999} \citation{poisson:1995} \citation{blanchet:1996} \@writefile{toc}{\contentsline {subsection}{\numberline {6.11}Stationary phase approximation to binary inspiral chirps}{152}{subsection.6.11}} \newlabel{ss:statphase}{{6.11}{152}{Stationary phase approximation to binary inspiral chirps\relax }{subsection.6.11}{}} \@writefile{brf}{\backcite{cutler:1994}{{152}{6.11}{subsection.6.11}}} \@writefile{brf}{\backcite{droz:1999}{{152}{6.11}{subsection.6.11}}} \newlabel{e:chirpcosfreq}{{6.11.1}{152}{Stationary phase approximation to binary inspiral chirps\relax }{equation.6.11.1}{}} \newlabel{e:chirpsinfreq}{{6.11.2}{152}{Stationary phase approximation to binary inspiral chirps\relax }{equation.6.11.1}{}} \newlabel{e:Psi(f)}{{6.11.3}{152}{Stationary phase approximation to binary inspiral chirps\relax }{equation.6.11.3}{}} \@writefile{brf}{\backcite{poisson:1995}{{152}{6.11}{equation.6.11.3}}} \@writefile{brf}{\backcite{blanchet:1996}{{152}{6.11}{equation.6.11.3}}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.12}Function: {\tt sp\_filters()}}{154}{subsection.6.12}} \newlabel{ss:sp_filters}{{6.12}{154}{Function: {\tt sp\_filters()}\relax }{subsection.6.12}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.13}Example: {\tt compare\_chirps} program}{155}{subsection.6.13}} \newlabel{ss:compare_chirps}{{6.13}{155}{Example: {\tt compare\_chirps} program\relax }{subsection.6.13}{}} \@writefile{lof}{\contentsline {figure}{\numberline {26}{\ignorespaces The output of {\tt compare\_chirps}, comparing the stationary-phase approximate waveform FFT'd into the time domain (red curve) with a 2nd-order post-Newtonian chirp calculated in the time domain, using {\tt make\_filters()} (black curve). The lower part of the graph shows three interesting regions of the upper (complete) graph. The bottom left detail shows the Gibbs startup-transient, the bottom middle detail shows a typical region of good agreement, and the bottom right detail shows the Gibbs turn-off transient. The Gibbs startup transient is also visible at the far right of the upper figure, which is periodically identified with the far left. }}{156}{figure.26}} \newlabel{f:compare_chirps}{{26}{156}{Example: {\tt compare\_chirps} program\relax }{figure.26}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.14}Wiener (optimal) filtering}{157}{subsection.6.14}} \newlabel{ss:wienerfilt}{{6.14}{157}{Wiener (optimal) filtering\relax }{subsection.6.14}{}} \newlabel{e:noise}{{6.14.5}{157}{Wiener (optimal) filtering\relax }{equation.6.14.5}{}} \newlabel{e:nspec}{{6.14.6}{158}{Wiener (optimal) filtering\relax }{equation.6.14.6}{}} \newlabel{e:n2}{{6.14.8}{158}{Wiener (optimal) filtering\relax }{equation.6.14.8}{}} \newlabel{e:definprod}{{6.14.9}{158}{Wiener (optimal) filtering\relax }{equation.6.14.9}{}} \newlabel{e:sovern}{{6.14.12}{158}{Wiener (optimal) filtering\relax }{equation.6.14.12}{}} \citation{cutler:1994} \newlabel{e:optimal}{{6.14.14}{159}{Wiener (optimal) filtering\relax }{equation.6.14.14}{}} \newlabel{e:lag}{{6.14.15}{159}{Wiener (optimal) filtering\relax }{equation.6.14.15}{}} \@writefile{brf}{\backcite{cutler:1994}{{159}{6.14}{equation.6.14.16}}} \newlabel{e:cfnorm}{{6.14.17}{159}{Wiener (optimal) filtering\relax }{equation.6.14.17}{}} \newlabel{e:ono}{{6.14.22}{160}{Wiener (optimal) filtering\relax }{equation.6.14.22}{}} \newlabel{e:complexsig}{{6.14.23}{160}{Wiener (optimal) filtering\relax }{equation.6.14.23}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.15}Comparison of signal detectability for single-phase and two-phase searches}{162}{subsection.6.15}} \newlabel{ss:compare12}{{6.15}{162}{Comparison of signal detectability for single-phase and two-phase searches\relax }{subsection.6.15}{}} \@writefile{lof}{\contentsline {figure}{\numberline {27}{\ignorespaces The threshold for a two-phase search $S^{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip \textrm {two-phase}}_0$ is shown as a function of the threshold for the single-phase search $S^{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip \textrm {single-phase}}_0$ which gives the same false alarm rate. When the false alarm rates are small, they are very nearly equal. }}{163}{figure.27}} \newlabel{f:thresholds}{{27}{163}{Comparison of signal detectability for single-phase and two-phase searches\relax }{figure.27}{}} \citation{NumRec} \@writefile{toc}{\contentsline {subsection}{\numberline {6.16}Function: \tt correlate()}{164}{subsection.6.16}} \newlabel{ss:correlate}{{6.16}{164}{Function: \tt correlate()\relax }{subsection.6.16}{}} \newlabel{e:corrdef}{{6.16.1}{164}{Function: \tt correlate()\relax }{equation.6.16.1}{}} \@writefile{brf}{\backcite{NumRec}{{164}{6.16}{equation.6.16.2}}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.17}Function: {\tt avg\_inv\_spec()}}{166}{subsection.6.17}} \newlabel{ss:avg_inv_spec}{{6.17}{166}{Function: {\tt avg\_inv\_spec()}\relax }{subsection.6.17}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.18}Function: {\tt orthonormalize()}}{167}{subsection.6.18}} \newlabel{ss:orthonormalize}{{6.18}{167}{Function: {\tt orthonormalize()}\relax }{subsection.6.18}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.19}Dirty details of optimal filtering: wraparound and windowing}{168}{subsection.6.19}} \newlabel{ss:dirty}{{6.19}{168}{Dirty details of optimal filtering: wraparound and windowing\relax }{subsection.6.19}{}} \@writefile{lof}{\contentsline {figure}{\numberline {28}{\ignorespaces A chirp starting at initial time $i=0$ and ending at time $i=13500$ is processed through a chirp filter, whose output peaks at time $i=0$. Notice that because of wraparound, the (non-causal) filter output begins ``earlier" than $i=0$.}}{169}{figure.28}} \newlabel{f:chirpa}{{28}{169}{Dirty details of optimal filtering: wraparound and windowing\relax }{figure.28}{}} \@writefile{lof}{\contentsline {figure}{\numberline {29}{\ignorespaces A chirp starting at initial time $i=15,000$ and ending at time $i=28,500$ is processed through a chirp filter, whose output peaks at time $i=15,000$.}}{170}{figure.29}} \newlabel{f:chirpb}{{29}{170}{Dirty details of optimal filtering: wraparound and windowing\relax }{figure.29}{}} \@writefile{lof}{\contentsline {figure}{\numberline {30}{\ignorespaces A chirp starting at initial time $i=52,035$.}}{171}{figure.30}} \newlabel{f:chirpc}{{30}{171}{Dirty details of optimal filtering: wraparound and windowing\relax }{figure.30}{}} \@writefile{lof}{\contentsline {figure}{\numberline {31}{\ignorespaces An impulse shortly after $i=0$.}}{171}{figure.31}} \newlabel{f:chirpd}{{31}{171}{Dirty details of 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\@writefile{toc}{\contentsline {subsection}{\numberline {6.21}Function: {\tt freq\_inject\_chirp()}}{175}{subsection.6.21}} \newlabel{ss:freq_inject_chirp}{{6.21}{175}{Function: {\tt freq\_inject\_chirp()}\relax }{subsection.6.21}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.22}Function: {\tt time\_inject\_chirp()}}{176}{subsection.6.22}} \newlabel{ss:time_inject_chirp}{{6.22}{176}{Function: {\tt time\_inject\_chirp()}\relax }{subsection.6.22}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.23}Vetoing techniques (time domain outlier test)}{177}{subsection.6.23}} \newlabel{ss:veto-time}{{6.23}{177}{Vetoing techniques (time domain outlier test)\relax }{subsection.6.23}{}} \@writefile{lof}{\contentsline {figure}{\numberline {35}{\ignorespaces A short stretch of raw IFO data in the time domain, which passes the outlier test.}}{178}{figure.35}} \newlabel{f:data1t}{{35}{178}{Vetoing techniques (time domain outlier test)\relax }{figure.35}{}} \@writefile{lof}{\contentsline {figure}{\numberline {36}{\ignorespaces A histogram of this data shows that it has no outlier points.}}{178}{figure.36}} \newlabel{f:data1h}{{36}{178}{Vetoing techniques (time domain outlier test)\relax }{figure.36}{}} \@writefile{lof}{\contentsline {figure}{\numberline {37}{\ignorespaces A short stretch of raw IFO data in the time domain, which fails the outlier test.}}{179}{figure.37}} \newlabel{f:data2t}{{37}{179}{Vetoing techniques (time domain outlier test)\relax }{figure.37}{}} \@writefile{lof}{\contentsline {figure}{\numberline {38}{\ignorespaces A histogram of this data shows that it has a number of outlier points -- which is why it fails to outlier test.}}{179}{figure.38}} \newlabel{f:data2h}{{38}{179}{Vetoing techniques (time domain outlier test)\relax }{figure.38}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.24}Vetoing techniques ($r^2$ time/frequency test)}{180}{subsection.6.24}} \newlabel{ss:veto}{{6.24}{180}{Vetoing techniques ($r^2$ time/frequency test)\relax }{subsection.6.24}{}} \@writefile{lof}{\contentsline {figure}{\numberline {39}{\ignorespaces A typical set of frequency intervals $\Delta f_i$ for the case $p=4$.}}{181}{figure.39}} \newlabel{f:fintervals}{{39}{181}{Vetoing techniques ($r^2$ time/frequency test)\relax }{figure.39}{}} \newlabel{e:prob1}{{6.24.8}{181}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.8}{}} \newlabel{e:defpbar}{{6.24.10}{181}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.10}{}} \citation{matthewsandwalker} \newlabel{e:deltaprob}{{6.24.17}{182}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.17}{}} \@writefile{brf}{\backcite{matthewsandwalker}{{182}{6.24}{equation.6.24.17}}} \newlabel{e:vards}{{6.24.18}{182}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.18}{}} \newlabel{e:twophasesig}{{6.24.25}{184}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.25}{}} \newlabel{e:deftwhophaser2}{{6.24.34}{185}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.34}{}} \newlabel{r2expected}{{6.24.35}{185}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.35}{}} \newlabel{chi2expected}{{6.24.37}{185}{Vetoing techniques ($r^2$ time/frequency test)\relax }{equation.6.24.37}{}} \@writefile{lof}{\contentsline {figure}{\numberline {40}{\ignorespaces The probability that the $r^2$ statistic exceeds a given threshold $R^2$ is shown for both the single-phase and two-phase test, for $p=8$ and $p=16$ frequency ranges. For example, for the single-phase $p=8$ test, the probability that $r^2 > 2.31$ is 1\% for a chirp plus Gaussian noise. For the single-phase test with $p=16$ the probability of exceeding the same threshold is about $10^{-3}$. }}{186}{figure.40}} \newlabel{f:rsquared}{{40}{186}{Vetoing techniques ($r^2$ time/frequency test)\relax }{figure.40}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.25} How does the $r^2$ test work ?}{187}{subsection.6.25}} \@writefile{lof}{\contentsline {figure}{\numberline {41}{\ignorespaces This figure shows the output of four single-phase filters for the $p=4$ case, for a ``true chirp" injected into a stream of real IFO data (left set of figures) and a transient noise burst already present in another stream of real IFO data (right set of figures). When a true chirp is present, the filters in the different frequency bands all peak at the same time offset $t_0$: the time offset which maximizes the SNR. At this instant in time, all of the $S_i$ are about the same value. However when the filter was triggered by a non-chirp signal, the filters in the different frequency bands peak at different times, and in fact at time $t_0$ they have very different values (some large, some small, and so on). }}{187}{figure.41}} \newlabel{f:timefreqplot}{{41}{187}{ How does the $r^2$ test work ?\relax }{figure.41}{}} \citation{NumRec} \@writefile{toc}{\contentsline {subsection}{\numberline {6.26}Function: {\tt splitup()}}{189}{subsection.6.26}} \newlabel{ss:splitup}{{6.26}{189}{Function: {\tt splitup()}\relax }{subsection.6.26}{}} \@writefile{brf}{\backcite{NumRec}{{189}{6.26}{subsection.6.26}}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.27}Function: {\tt splitup\_freq()}}{190}{subsection.6.27}} \newlabel{ss:splitup_freq}{{6.27}{190}{Function: {\tt splitup\_freq()}\relax }{subsection.6.27}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.28}Function: {\tt splitup\_freq2()}}{191}{subsection.6.28}} \newlabel{ss:splitup_freq2}{{6.28}{191}{Function: {\tt splitup\_freq2()}\relax }{subsection.6.28}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.29}Function: {\tt splitup\_freq3()}}{192}{subsection.6.29}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.30}Example: {\tt optimal} program}{193}{subsection.6.30}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.31}Some output from the {\tt optimal} program}{199}{subsection.6.31}} \@writefile{lof}{\contentsline {figure}{\numberline {42}{\ignorespaces This shows the event that triggered the $2\times 1.4$ solar mass binary inspiral filter with a SNR of 8.71 (see the first set of sample output from the optimal filtering code above, at time 325.23). This same ``event" can also be seen in Figure\nobreakspace {}\ref {f:diag0}. The horizontal axis is sample number, with samples $\approx 10^{-4}$ seconds apart; the vertical axis is the raw (whitened) IFO output. The event labeled ``drip" can be heard in the data (it sounds like a faucet drip) and is picked up by the optimal filtering technique, but it is NOT visible to the naked eye. This event is vetoed by the splitup technique described earlier - it has extremely low probability of being a chirp plus stationary noise.}}{201}{figure.42}} \newlabel{f:drip}{{42}{201}{Some output from the {\tt optimal} program\relax }{figure.42}{}} \@writefile{lof}{\contentsline {figure}{\numberline {43}{\ignorespaces This another event that triggered the $2\times 1.4$ solar mass binary inspiral filter with a SNR of 17.33. This event sounds like a ``bump"; it is probably due to a bad cable connection. It can be easily seen (and vetoed) in the time domain. 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