| ... | @@ -6,15 +6,15 @@ This is the home page for the review of the detection of non-quadrupole modes us |
... | @@ -6,15 +6,15 @@ This is the home page for the review of the detection of non-quadrupole modes us |
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## Method:
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## Method:
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1. Extract the parameters of the event from PE summary page or GraceDB.
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1. Extract the parameters of the event from PE summary page or GraceDB.
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2. Construct the time-frequency map (by wavelet transform using Morlet wavelet: Details: ) of the whitened data surroundings the event. The wavelet used in the analysis is different from the one described in the method paper. Details on the wavelet tranform is summarised [here](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/uploads/bf743a417b1494559a3613d8d3aed501/cwt_doc.pdf).
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2. Construct the time-frequency map (by wavelet transform using Morlet wavelet, summarised [here](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/uploads/bf743a417b1494559a3613d8d3aed501/cwt_doc.pdf)) of the whitened data surroundings the event. The wavelet used in the analysis is different from the one described in the method paper.
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3. Collect the energies in the pixels along various scaled 22-track. Especially, the arbitrary track is defined as $`f_{\alpha}(t) = \alpha f_{22}(t)`$, where the 22-track is generated using parameters obtained from PE/GraceDB. The summed energy along the $`f_{\alpha}(t)`$ track is defined as $`Y(\alpha)`$.
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3. Collect the energies in the pixels along various scaled 22-track. Especially, the arbitrary track is defined as $`f_{\alpha}(t) = \alpha f_{22}(t)`$, where the 22-track is generated using parameters obtained from PE/GraceDB. The summed energy along the $`f_{\alpha}(t)`$ track is defined as $`Y(\alpha)`$.
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4. The template model $`S(\alpha)`$ is constructed using the same mass-spin parameters.
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4. The template model $`S(\alpha)`$ is constructed using the same mass-spin parameters.
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5. Two consecutive points in $`Y(\alpha)`$ are highly correlated; thereby, the covariance matrix is necessary for hypothesis testing. The covariance matric is computed using the off-source data surrounding the event.
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5. Two consecutive points in $`Y(\alpha)`$ are highly correlated; thereby, the covariance matrix is necessary for hypothesis testing. The covariance matrix is computed using the off-source data surrounding the event.
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6. Finally, we defined a statistic ($`\beta`$) for detecting the higher-order modes from the inspiral part of the signal. For pure Gaussian noise case, the statistic $`\beta`$ follows a Gaussian distribution with zero mean and unit variance when no gravitational wave presents in the data, i.e., $`p(\beta \mid \mathcal{H}_0 ) \sim \mathcal{N}(0, 1)`$. However, $`p(\beta \mid \mathcal{H}_0 )`$ need not to be pure Gaussian for real LIGO data.
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6. Finally, we defined a statistic ($`\beta`$) for detecting the higher-order modes from the inspiral part of the signal. For pure Gaussian noise case, the statistic $`\beta`$ follows a Gaussian distribution with zero mean and unit variance when no gravitational wave presents in the data, i.e., $`p(\beta \mid \mathcal{H}_0 ) \sim \mathcal{N}(0, 1)`$. However, $`p(\beta \mid \mathcal{H}_0 )`$ need not to be pure Gaussian for real LIGO data.
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## References
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## References
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* *Unveiling the spectrum of inspiralling black holes*: [arXiv:1910.04565](https://arxiv.org/abs/1910.04565),
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* *Unveiling the spectrum of inspiralling black holes*: [arXiv:1910.04565](https://arxiv.org/abs/1910.04565),
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presentated in [R&D call 2019-08-19](https://dcc.ligo.org/G1901496)
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presented in [R&D call 2019-08-19](https://dcc.ligo.org/G1901496)
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* Note on spectrogram: [link]( https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/uploads/bf743a417b1494559a3613d8d3aed501/cwt_doc.pdf)
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* Note on spectrogram: [link]( https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/uploads/bf743a417b1494559a3613d8d3aed501/cwt_doc.pdf)
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* *Detection of Nonquadrupole mode from inspiralling compact binary mergers*:
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* *Detection of Nonquadrupole mode from inspiralling compact binary mergers*:
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[Link](https://wiki.ligo.org/CBC/InspiralHOM)
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[Link](https://wiki.ligo.org/CBC/InspiralHOM)
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| ... | @@ -52,13 +52,13 @@ The python implementation of the analysis can be found [here](https://git.ligo.o |
... | @@ -52,13 +52,13 @@ The python implementation of the analysis can be found [here](https://git.ligo.o |
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| Script | Short description | Status | git hash | Comment | final sign-off |
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| Script | Short description | Status | git hash | Comment | final sign-off |
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| ------ | ----------------- | ------ | -------- | ------- | -------------- |
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| ------ | ----------------- | ------ | -------- | ------- | -------------- |
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| [utils.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/utils.py) | Content: Class MiscellaneousUtils: Main Class for the analysis , Function NegativeLogLikelihoodRatio: Used for maximizing the LLR over unknown overall amplitudes of the template model of each 'm' mode. | Done | 61cafb16d7c1f93ddd2217650ca4e0204b5bd166 | Still needs some documentation fixes | :heavy_check_mark: |
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| [utils.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/utils.py) | Content: Class MiscellaneousUtils: Main Class for the analysis , Function NegativeLogLikelihoodRatio: Used for maximizing the LLR over unknown overall amplitudes of the template model of each 'm' mode. | Done | 61cafb16d7c1f93ddd2217650ca4e0204b5bd166 | Still needs some documentation fixes | :heavy_check_mark: |
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| [noisebg.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/noisebg.py) | Tools for computing background distribution| Done | | | Nathan: :x: , Haris: :x: |
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| [noisebg.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/noisebg.py) | Tools for computing background distribution| Done | | | Nathan: :heavy_check_mark: , Haris: :x: |
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| [calndm.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/calndm.py) | Tools to obtain best central frequency of the wavelet, by maximizing power along 22 modes track| Done | 61cafb16d7c1f93ddd2217650ca4e0204b5bd166 | Some small typos in the comments still need to be fixed | :heavy_check_mark: |
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| [calndm.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/calndm.py) | Tools to obtain best central frequency of the wavelet, by maximizing power along 22 modes track| Done | 61cafb16d7c1f93ddd2217650ca4e0204b5bd166 | Some small typos in the comments still need to be fixed | :heavy_check_mark: |
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| [inspiralhom_analysis.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/inspiralhom_analysis.py) | Stand-alone python script to perform the analysis on an event. | | | | Nathan: :x: , Haris: :x: |
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| [inspiralhom_analysis.py](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/scripts/inspiralhom_analysis.py) | Stand-alone python script to perform the analysis on an event. | | | | Nathan: :x: , Haris: :x: |
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We performed a set of investigations on the analysis to check it's efficiency. Below is the summary of investigations performed to test the pipeline.
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We performed a set of investigations on the analysis to check its accuracy. Below is the summary of investigations performed to test the pipeline.
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# Investigations for code review
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# Investigations for code review
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| ... | @@ -66,14 +66,14 @@ We performed a set of investigations on the analysis to check it's efficiency. |
... | @@ -66,14 +66,14 @@ We performed a set of investigations on the analysis to check it's efficiency. |
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| ------ | ------ |--------|-------------------------|---------------------|---------------|----------------|
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| ------ | ------ |--------|-------------------------|---------------------|---------------|----------------|
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| [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Choice on ending frequency of the $`22-`$mode track | To be updated | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/overelap33) | Soumen | Haris: for S190412m the overlaps between $`S(\alpha)`$ for 22 and 33 modes are less than 3% for ending frequencies<0.6f_ISCO. We need to check for S190814bv also. | Nathan: :x: , Haris: :x: |
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| [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Choice on ending frequency of the $`22-`$mode track | To be updated | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/overelap33) | Soumen | Haris: for S190412m the overlaps between $`S(\alpha)`$ for 22 and 33 modes are less than 3% for ending frequencies<0.6f_ISCO. We need to check for S190814bv also. | Nathan: :x: , Haris: :x: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Comparison of PSDs between Welch and BayesLine | DONE | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/PSDs-comparison) | Soumen | Haris: PSDs look consistent for detection purposes. Nathan: PSDs are not exactly the same, but have the same general amplitude. However, the GW190814 BayesLine PSD appears to be from 60 Hz-subtracted data, while the Welch PSD for that event and both PSDs for GW190412 have the 60 Hz line present. This should be sorted out. | Nathan: :x:, Haris: :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Comparison of PSDs between Welch and BayesLine | DONE | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/PSDs-comparison) | Soumen | Haris: PSDs look consistent for detection purposes. Nathan: PSDs are not exactly the same, but have the same general amplitude. However, the GW190814 BayesLine PSD appears to be from 60 Hz-subtracted data, while the Welch PSD for that event and both PSDs for GW190412 have the 60 Hz line present. This should be sorted out. | Nathan: :x:, Haris: :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Study on choice of deltaT and deltaF | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-choice-of-deltaT-and-deltaF) | Soumen | Haris: $`Y(\alpha)`$ is defined as the sum of energy content of the pixels along the $`\alpha`$ track. Thus it will depend on the pixel size. However, the final $`\beta`$ will be independent of the choice of pixel size. Further, for sample rates<=4KHz, the spectrograms seem to be consistent for various choices of the sampling rate. The analysis is restricted to sample rates<=4KHz | Nathan: :x:, Haris: :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Study on choice of deltaT and deltaF | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-choice-of-deltaT-and-deltaF) | Soumen | $`Y(\alpha)`$ is defined as the sum of energy content of the pixels along the $`\alpha`$ track. Thus it will depend on the pixel size. However, the final $`\beta`$ does not depend strongly on the choice of pixel size. Further, for sample rates <= 4096 Hz, the spectrograms seem to be consistent for various choices of the sampling rate. The analysis is restricted to sample rates <= 4096 Hz. | :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Study on $`p-`$value | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-p-value) | Soumen | Extrapolation of $`P(\beta\|H_0)`$ doesn't seem to be a good idea. Will use background samples to quote an upper bound on *p*-value | :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Study on $`p-`$value | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-p-value) | Soumen | Extrapolation of $`P(\beta\|H_0)`$ doesn't seem to be a good idea. Will use background samples to quote an upper bound on *p*-value | :heavy_check_mark: |
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# GW190412m
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# GW190412
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| Script | Short description | Status | git hash | Comment | final sign-off |
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| Script | Short description | Status | git hash | Comment | final sign-off |
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| ------ | ----------------- | ------ | -------- | ------- | -------------- |
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| ------ | ----------------- | ------ | -------- | ------- | -------------- |
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| [test_insphom_GW190412_C01.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190412/analysis/C01/test_insphom_GW190412_C01.sh) | Bash script to produce results (h5 file) for the event GW190412m | Done | 8e5b4c8ee8fafc512ede902c4e8101d004775ec8 | Haris: In future, the choice of `track-max-length` can be optimized to get maximum SNR | Nathan: :x: , Haris: :heavy_check_mark: |
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| [test_insphom_GW190412_C01.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190412/analysis/C01/test_insphom_GW190412_C01.sh) | Bash script to produce results (h5 file) for the event GW190412 | Done | 8e5b4c8ee8fafc512ede902c4e8101d004775ec8 | Haris: In future, the choice of `track-max-length` can be optimized to get maximum SNR | Nathan: :x: , Haris: :heavy_check_mark: |
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| [ReadResults.ipynb](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190412/analysis/C01/ReadResults.ipynb) | Notebook used for producing final plots for GW190412 from `h5` file | Pending| | Haris: It would be better if you can place the colorbar in the spectrogram on the top pf the pannel horozontaly. Location of data file in CIT cluster: /home/soumen.roy/ HHM/o3inspiralhom/ inspiral_hom_contribution/ GW190412/C01/ S190412m_L1_C01_0p6fISCO_0p45.h5 | Nathan: :x: , Haris: :x: |
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| [ReadResults.ipynb](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190412/analysis/C01/ReadResults.ipynb) | Notebook used for producing final plots for GW190412 from `h5` file | Pending| | Haris: It would be better if you can place the colorbar in the spectrogram on the top pf the pannel horozontaly. Location of data file in CIT cluster: /home/soumen.roy/ HHM/o3inspiralhom/ inspiral_hom_contribution/ GW190412/C01/ S190412m_L1_C01_0p6fISCO_0p45.h5 | Nathan: :x: , Haris: :x: |
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| ... | @@ -81,26 +81,26 @@ Below is the summary of investigations to test the S190412m results. |
... | @@ -81,26 +81,26 @@ Below is the summary of investigations to test the S190412m results. |
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| Reviewer| Task | Status | Link to review material | Persons Responsible | Comment | final sign-off |
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| Reviewer| Task | Status | Link to review material | Persons Responsible | Comment | final sign-off |
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| ------ | ------ |--------|-------------------------|---------------------|---------------|----------------|
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| ------ | ------ |--------|-------------------------|---------------------|---------------|----------------|
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Analysis of GW190412m with PE samples as templates | In progress | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Distribution-of-on-source-beta) | Soumen | Haris: It is evident from the $`\beta`$ histogram that using MaxL value of parameters as template is not an optimal way. Alternatively, we need to marginalize $`\beta`$ over templates from constructed from samples. | Nathan: :x: , Haris: :x: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Analysis of GW190412 with PE samples as templates | In progress | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Distribution-of-on-source-beta) | Soumen | Haris: It is evident from the $`\beta`$ histogram that using MaxL value of parameters as template is not an optimal way. Alternatively, we need to marginalize $`\beta`$ over templates from constructed from samples. | Nathan: :x: , Haris: :x: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Inject study for S190412m event using C00 data | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/injection-Study-for-S190412m-event) | Soumen | This exercise is done with an slightly different definition of $`Y(\alpha)`$ or $`\tilede x(\tau,f)`$. See the first bullet point in th [**page**](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-choice-of-deltaT-and-deltaF) for details. However, we note that the event $`\beta`$ value in on the higher tail of the distribution of $`\beta`$s obtained from the injection campaign. One possible reason behind this could be the injections are done with SEOBNRv4HM. We suggest investigating this by NR injections. | Nathan: :x: , Haris: :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Inject study for GW190412 event using C00 data | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/injection-Study-for-S190412m-event) | Soumen | This exercise is done with an slightly different definition of $`Y(\alpha)`$ or $`\tilde X(\tau,f)`$. See the first bullet point in this [**page**](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-choice-of-deltaT-and-deltaF) for details. However, we note that the event $`\beta`$ value in on the higher tail of the distribution of $`\beta`$s obtained from the injection campaign. One possible reason behind this could be the injections are done with SEOBNRv4HM. We suggest investigating this by NR injections. | :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Injection study using NR waveform | cell | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/Injection-study-using-NR-waveorm) | cell | This exercise is done with an slightly different definition of $`Y(\alpha)`$ or $`\tilede x(\tau,f)`$. See the first bullet point in the [**page**](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-choice-of-deltaT-and-deltaF) for details. | Nathan: :x: , Haris: :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Injection study using NR waveform | cell | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/Injection-study-using-NR-waveorm) | cell | This exercise is done with an slightly different definition of $`Y(\alpha)`$ or $`\tilde X(\tau,f)`$. See the first bullet point in the [**page**](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Study-on-choice-of-deltaT-and-deltaF) for details. | :heavy_check_mark: |
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# GW190814bv
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# GW190814
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| Script | Short description | Status | git hash | Comment | final sign-off |
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| Script | Short description | Status | git hash | Comment | final sign-off |
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| ------ | ----------------- | ------ | -------- | ------- | -------------- |
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| ------ | ----------------- | ------ | -------- | ------- | -------------- |
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| [test_insphom_GW190814_C01.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190814/analysis/C01/test_insphom_GW190814_C01.sh) | Bash script to produce results (h5 file) for the event GW190814bv | | | | Nathan: :x: , Haris: :x: |
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| [test_insphom_GW190814_C01.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190814/analysis/C01/test_insphom_GW190814_C01.sh) | Bash script to produce results (h5 file) for the event GW190814 | | | | Nathan: :x: , Haris: :x: |
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| [ReadResults.ipynb](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190814/analysis/C01/ReadResults.ipynb) | Notebook used for producing final plots for GW190814 from `h5` file | | | | Nathan: :x: , Haris: :x: |
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| [ReadResults.ipynb](https://git.ligo.org/soumen.roy/o3inspiralhom/blob/master/GW190814/analysis/C01/ReadResults.ipynb) | Notebook used for producing final plots for GW190814 from `h5` file | | | | Nathan: :x: , Haris: :x: |
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Investigations for S190814bv result review
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Investigations for GW190814 result review
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| Reviewer| Task | Status | Link to review material | Persons Responsible | Comment | final sign-off |
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| Reviewer| Task | Status | Link to review material | Persons Responsible | Comment | final sign-off |
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| ------ | ------ |--------|-------------------------|---------------------|---------------|----------------|
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| ------ | ------ |--------|-------------------------|---------------------|---------------|----------------|
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Analysis of GW190814bv with PE samples as templates | In progress | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Distribution-of-on-source-beta) | Soumen | | Nathan: :x: , Haris: :x: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Analysis of GW190814 with PE samples as templates | In progress | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/-/wikis/Distribution-of-on-source-beta) | Soumen | | Nathan: :x: , Haris: :x: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Inject study for S190814bv event using C00 data | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/injection-Study-for-S190814bv-event) | Soumen | Haris:Same as in the case of GW190412m injection simulation. | Nathan: :x: , Haris: :heavy_check_mark: |
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| [Haris K](https://git.ligo.org/haris-k), [Nathan K. Johnson-McDaniel](https://git.ligo.org/nathan-johnson-mcdaniel) | Inject study for GW190814 event using C00 data | Done | [Link](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/injection-Study-for-S190814bv-event) | Soumen | Same comment as for the GW190412 injection simulation. | :heavy_check_mark: |
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# Link to review telecons minutes
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# Link to review telecons minutes
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1. [07/11/2019](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/Telecons/07November2019)
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1. [07/11/2019](https://git.ligo.org/soumen.roy/o3inspiralhom/wikis/Telecons/07November2019)
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