One Second h(t) Factors From the High Frequency (1100 Hz) Calibration Line

The following are the filenames of the one second h(t) factors for the high frequency calibration line as produced by Myungkee (they can be found here).

The filename format is:

<run>_<det>_factor_<dt>_<ndiv>_cl<line>.mat

run - factors from what data run (S5)
det - H1, H2, or L1
dt - 001 indicates these factors were produced every second
ndiv - ID number for files as summarized here for H1, H2 and L1
line - 3 indicates these factors were produced using the 1100 Hz calibration line

Click on the file name of interest to see their results of the long FFT factor investigation:  (observations are at the bottom of the page)

N.B.  The GPS times on the plots are incorrect.  Refer to the links in the ndiv description for the actual GPS times.  The number of seconds (and therefore gammas) in each file is >2.5e+05.

H1
 H2
 L1
S5_H1_factor_001_108_cl3.mat S5_H2_factor_001_108_cl3.mat


S5_L1_factor_001_119_cl3.mat


S5_L1_factor_001_120_cl3.mat
S5_H1_factor_001_121_cl3.mat S5_H2_factor_001_121_cl3.mat S5_L1_factor_001_121_cl3.mat
S5_H1_factor_001_122_cl3.mat S5_H2_factor_001_122_cl3.mat S5_L1_factor_001_122_cl3.mat
S5_H1_factor_001_123_cl3.mat S5_H2_factor_001_123_cl3.mat S5_L1_factor_001_123_cl3.mat
S5_H1_factor_001_124_cl3.mat S5_H2_factor_001_124_cl3.mat S5_L1_factor_001_124_cl3.mat
S5_H1_factor_001_125_cl3.mat S5_H2_factor_001_125_cl3.mat S5_L1_factor_001_125_cl3.mat
S5_H1_factor_001_126_cl3.mat S5_H2_factor_001_126_cl3.mat S5_L1_factor_001_126_cl3.mat
S5_H1_factor_001_127_cl3.mat S5_H2_factor_001_127_cl3.mat S5_L1_factor_001_127_cl3.mat
S5_H1_factor_001_128_cl3.mat S5_H2_factor_001_128_cl3.mat S5_L1_factor_001_128_cl3.mat
S5_H1_factor_001_129_cl3.mat S5_H2_factor_001_129_cl3.mat S5_L1_factor_001_129_cl3.mat
S5_H1_factor_001_130_cl3.mat S5_H2_factor_001_130_cl3.mat S5_L1_factor_001_130_cl3.mat
S5_H1_factor_001_131_cl3.mat S5_H2_factor_001_131_cl3.mat S5_L1_factor_001_131_cl3.mat
S5_H1_factor_001_132_cl3.mat S5_H2_factor_001_132_cl3.mat S5_L1_factor_001_132_cl3.mat
S5_H1_factor_001_133_cl3.mat S5_H2_factor_001_133_cl3.mat S5_L1_factor_001_133_cl3.mat
S5_H1_factor_001_134_cl3.mat S5_H2_factor_001_134_cl3.mat S5_L1_factor_001_134_cl3.mat
S5_H1_factor_001_135_cl3.mat S5_H2_factor_001_135_cl3.mat S5_L1_factor_001_135_cl3.mat
S5_H1_factor_001_136_cl3.mat S5_H2_factor_001_136_cl3.mat S5_L1_factor_001_136_cl3.mat
S5_H1_factor_001_137_cl3.mat S5_H2_factor_001_137_cl3.mat S5_L1_factor_001_137_cl3.mat
S5_H1_factor_001_138_cl3.mat S5_H2_factor_001_138_cl3.mat S5_L1_factor_001_138_cl3.mat
S5_H1_factor_001_139_cl3.mat S5_H2_factor_001_139_cl3.mat S5_L1_factor_001_139_cl3.mat
S5_H1_factor_001_140_cl3.mat S5_H2_factor_001_140_cl3.mat S5_L1_factor_001_140_cl3.mat
S5_H1_factor_001_141_cl3.mat S5_H2_factor_001_141_cl3.mat S5_L1_factor_001_141_cl3.mat
S5_H1_factor_001_142_cl3.mat S5_H2_factor_001_142_cl3.mat S5_L1_factor_001_142_cl3.mat
S5_H1_factor_001_143_cl3.mat S5_H2_factor_001_143_cl3.mat S5_L1_factor_001_143_cl3.mat
S5_H1_factor_001_144_cl3.mat S5_H2_factor_001_144_cl3.mat S5_L1_factor_001_144_cl3.mat
S5_H1_factor_001_145_cl3.mat S5_H2_factor_001_145_cl3.mat S5_L1_factor_001_145_cl3.mat
S5_H1_factor_001_146_cl3.mat S5_H2_factor_001_146_cl3.mat S5_L1_factor_001_146_cl3.mat
S5_H1_factor_001_147_cl3.mat S5_H2_factor_001_147_cl3.mat S5_L1_factor_001_147_cl3.mat
S5_H1_factor_001_148_cl3.mat S5_H2_factor_001_148_cl3.mat S5_L1_factor_001_148_cl3.mat
S5_H1_factor_001_149_cl3.mat S5_H2_factor_001_149_cl3.mat S5_L1_factor_001_149_cl3.mat
S5_H1_factor_001_150_cl3.mat S5_H2_factor_001_150_cl3.mat S5_L1_factor_001_150_cl3.mat
S5_H1_factor_001_151_cl3.mat S5_H2_factor_001_151_cl3.mat S5_L1_factor_001_151_cl3.mat
S5_H1_factor_001_152_cl3.mat S5_H2_factor_001_152_cl3.mat S5_L1_factor_001_152_cl3.mat
S5_H1_factor_001_153_cl3.mat S5_H2_factor_001_153_cl3.mat S5_L1_factor_001_153_cl3.mat
S5_H1_factor_001_154_cl3.mat S5_H2_factor_001_154_cl3.mat S5_L1_factor_001_154_cl3.mat
S5_H1_factor_001_155_cl3.mat S5_H2_factor_001_155_cl3.mat S5_L1_factor_001_155_cl3.mat
S5_H1_factor_001_156_cl3.mat S5_H2_factor_001_156_cl3.mat S5_L1_factor_001_156_cl3.mat
S5_H1_factor_001_157_cl3.mat S5_H2_factor_001_157_cl3.mat S5_L1_factor_001_157_cl3.mat
S5_H1_factor_001_158_cl3.mat S5_H2_factor_001_158_cl3.mat S5_L1_factor_001_158_cl3.mat
S5_H1_factor_001_159_cl3.mat S5_H2_factor_001_159_cl3.mat S5_L1_factor_001_159_cl3.mat
S5_H1_factor_001_160_cl3.mat S5_H2_factor_001_160_cl3.mat S5_L1_factor_001_160_cl3.mat
S5_H1_factor_001_161_cl3.mat S5_H2_factor_001_161_cl3.mat S5_L1_factor_001_161_cl3.mat
S5_H1_factor_001_162_cl3.mat S5_H2_factor_001_162_cl3.mat S5_L1_factor_001_162_cl3.mat
S5_H1_factor_001_163_cl3.mat S5_H2_factor_001_163_cl3.mat S5_L1_factor_001_163_cl3.mat
S5_H1_factor_001_164_cl3.mat S5_H2_factor_001_164_cl3.mat S5_L1_factor_001_164_cl3.mat
S5_H1_factor_001_165_cl3.mat S5_H2_factor_001_165_cl3.mat S5_L1_factor_001_165_cl3.mat
S5_H1_factor_001_166_cl3.mat S5_H2_factor_001_166_cl3.mat S5_L1_factor_001_166_cl3.mat
S5_H1_factor_001_167_cl3.mat S5_H2_factor_001_167_cl3.mat S5_L1_factor_001_167_cl3.mat
S5_H1_factor_001_168_cl3.mat S5_H2_factor_001_168_cl3.mat S5_L1_factor_001_168_cl3.mat
S5_H1_factor_001_169_cl3.mat S5_H2_factor_001_169_cl3.mat S5_L1_factor_001_169_cl3.mat
S5_H1_factor_001_170_cl3.mat S5_H2_factor_001_170_cl3.mat S5_L1_factor_001_170_cl3.mat
S5_H1_factor_001_171_cl3.mat S5_H2_factor_001_171_cl3.mat S5_L1_factor_001_171_cl3.mat
S5_H1_factor_001_172_cl3.mat S5_H2_factor_001_172_cl3.mat S5_L1_factor_001_172_cl3.mat
S5_H1_factor_001_173_cl3.mat S5_H2_factor_001_173_cl3.mat S5_L1_factor_001_173_cl3.mat
S5_H1_factor_001_174_cl3.mat S5_H2_factor_001_174_cl3.mat S5_L1_factor_001_174_cl3.mat
S5_H1_factor_001_175_cl3.mat S5_H2_factor_001_175_cl3.mat S5_L1_factor_001_175_cl3.mat
S5_H1_factor_001_176_cl3.mat S5_H2_factor_001_176_cl3.mat S5_L1_factor_001_176_cl3.mat
S5_H1_factor_001_177_cl3.mat S5_H2_factor_001_177_cl3.mat S5_L1_factor_001_177_cl3.mat
S5_H1_factor_001_178_cl3.mat S5_H2_factor_001_178_cl3.mat S5_L1_factor_001_178_cl3.mat
S5_H1_factor_001_179_cl3.mat S5_H2_factor_001_179_cl3.mat S5_L1_factor_001_179_cl3.mat

OBSERVATIONS:

FFT Observations:

For H1 and H2:

There appears to be low frequency (< 0.1 Hz) noise in these factors.  This noise causes the histograms of the real and imaginary parts of the FFT to not fit a Gaussian distribution well (the fit under estimates near the mean and over estimates away from the mean).  Also, the histogram of the FFT magnitude no longer fits well to a Rayleigh distribution (the fit under estimates below the distribution peek and over estimates above).  However, the deviation from the expected distribution is expected with the addition of a noise in a narrow (significantly less than the Nyquist frequency range) frequency band.

For L1:

These results are relatively comparable to the similar investigation done on the gammas produced by the mid-frequency calibration line.  The real and imaginary parts of the FFT fit a Gaussian distribution well and the FFT magnitude fits a Rayleigh distribution well.

In general:

Looking closer at the FFT magnitude plots, it becomes obvious that there are significant differences in the noise in the Hanford IFOs and the Livingston one.  First off, the magnitude of the FFT (after the low frequency noise) varies below about 10 for H1 and about 25 for H2.  For L1, the magnitude varies below about 200!   This is significantly more than the FFT magnitude variance of the mid-cal line gamma investigation.  This suggests that there may also be low frequency noise in the FFT magnitude for L1 that is buried under the overall noise (i.e. the only reason we see this noise in H1 and H2 is that the results are 'quiet' enough for us to see them).  However, the variance in the FFT magnitude for H1 and H2 is not significantly different than for the mid-cal line investigation and no low frequency noise was observed there.

Timeseries Observations:

H1:

The real part of gamma is very steady over these long time periods and have a very small variance.  When there is a data drop, it is only for a short time and the gamma resumes at nearly the same values.  This applies as well the time imaginary part.  The ratio of the standard deviation of the real and imaginary part tracks about about 2.

H2:

The real part of gamma is steady over long periods of time, but does have a tendency to wander over this time.  Otherwise, these timeseries compare to the H1 time series (including the std(Re/Im) ratio).

L1:

The real part of the gamma isn't as steady as either H1.  While the L1 Re(gamma) will wander with time as H2 does, it also has a tendency towards long terms drifts in Re(gamma).  There are also frequent data drops for much longer periods of time than observed for H1 and H2.  The std(Re/Im) ratio is a bit less than H1 and H2 at about 1.7.

In general:

The mid-cal line gamma investigation is comparable to the results shown here EXCEPT that the ratio of the standard deviation of the real and imaginary parts of gamma is larger by about a factor of 2.