@@ -54,16 +54,17 @@ For VItamin, it makes more sense to calculate the JSD between BBH and BH encount
## 3.1 JSD of t0 calculation: BBH
100 BBHs with different random noise were input to VItamin. We calculated JSD for each two t0 samples and got 50 JSDs of t0.
100 BBHs with different random noise were input to VItamin. We calculated JSD for each two t0 samples, and got 50 JSDs of t0. The result of this part is the purple distribution in Fig 3.2.1.
## 3.2 JSD of t0 calculation: BBH vs BH encounter
In the Signals section, Only one kind of BH encounter waveform is showed. Now we decide to expand the test to all proper BH encounters that we have. Therefore, BH encounters with mass ratio of 1, 4, 8, 16 were used except the one with mass ratio of 2, which has two peaks.
Naturally, the injection parameters like sky locations should be fixed. So we only adjusted distance, to make the amplitude of each kind of BH encounter can be similar with the BBH in the Signals section.
In the Section 1.1, Only one kind of BH encounter waveform is showed. Now we decide to expand the test to all proper BH encounters that we have. Therefore, BH encounters with mass ratio of 1, 4, 8, 16 were used except the one with mass ratio of 2, which has two peaks.
Naturally, the injection parameters like sky locations should be fixed. So we only adjusted distance, to make the amplitude of each kind of BH encounter can be similar with the BBH in the Section 1.1.
> m1: 5000 MPc
> m4: 2500 MPc
> m8: 1500 MPc
> m16: 500 MPc
For each waveform with specific mass ratio like, mass ratio of 1, We injected 100 signals, with different random noise(notice these noises are totally the same with Section 3.1, input them to VItamin, and calculated JSD of t0 between its t0 samples (as a BH encounter) and BBH samples (from Section 3.1), and got 100 JSDs of t0.
We also injected BBH using BH encounter peak value given by VItamin. From four BH encounters(mass ratio = 1, 4, 8, 16), we got four BBHs. Then these BBHs' VItamin posteriors were calculated JSDs with corresponding BH encounters.
