The purpose of this lecture it to learn the basic concepts of the gravitational wave data analysis. In

this lecture, we focus on the analysis of the gravitational waves from inspiraling compact binaries,

which are consider to be the most promising sources for ground based detectors. First we

introduce the concept of the maximum likelihood method and derive the basic formula of the

matched filtering. We then discuss the application of the matched filtering to the analysis of the

inspiraling compact binaries.

Ref. (1) M. Maggiore, "Gravitational waves volume 1: theory and experiment" (2008). Section 7.

Ref. (2) J.D.E. Creighton and W.G. Anderson, "Gravitational-wave physics and astronomy" (2011),

Section 7.

Ref. (3) P. Jaranowski and A. Krolak,  "Analysis of Gravitational-wave data" (2009).

Ref. (4) B.S. Sathyaprakash and B. F. Schutz, Living Rev. Relativity 12 (2009), 2.

K. Hayama (Osaka City University):

“Fundamentals of the gravitational wave data analysis III, IV”

……

Kenichi Oohara (Niigata University):

“Fundamentals of the gravitational wave data analysis V”

The Hilbert-Huang transform (HHT) is a novel, adaptive approach to time series analysis. It does

not impose a basis set on the data or otherwise make assumptions about the data form, and so the

time-frequency decomposition is not limited by spreading due to uncertainty. Because of the high

resolution of the time-frequency, the HHT is promising for search for gravitational waves,

investigating properties of detected gravitational waves and examining detector characterization. I

will review the method of the HHT and report recent results of our research.

References:

1) N.E. Huang, S.R. Long and Z. Shen; "The mechanism for frequency downshift in nonlinear wave

evolution," Adv. Appl. Mech., Vol. 32 (1996) 59–111.

2) N.E. Huang et al.; "The empirical mode decomposition and the Hilbert spectrum for nonlinear and

non-stationary time series analysis,” Proc. R. Soc. London Ser. A, Vol. 454 (1998) 903–993.

3) H. Takahashi, K. Oohara, M. Kaneyama, Y. Hiranuma and J.B. Camp; "On Investigating EMD

Parameters to Search for Gravitational Waves," Advances in Adaptive Data Analysis, Vol. 5 (2013)

1350010.

Aug 10

Miok Park (U of Waterloo):

“Deformations of Lifshitz holography with the Gauss-Bonnet term in (n+1) dimensions”

We investigate deformations of Gauss-Bonnet-Lifshitz holography in (n+1) dimensional spacetime.

Marginally relevant operators are dynamically generated by a momentum scale Lambda ~ 0 and

correspond to slightly deformed Gauss-Bonnet-Lifshitz spacetimes via a holographic picture. To

admit (non-trivial) sub-leading orders of the asymptotic solution for the marginal mode, we find that

the value of the dynamical critical exponent z is restricted by z= n-1-2(n-2) tilde{alpha}, where

tilde{alpha} is the (rescaled) Gauss-Bonnet coupling constant. The generic black hole solution,

which is characterized by the horizon flux of the vector field and tilde{alpha}, is obtained in the

bulk, and we explore its thermodynamic properties for various values of n and tilde{alpha}.

Dongfeng Gao (Wuhan Institute of Physics and Mathematics):

“Gravitational-wave Detection With Matter-wave Interferometers Based On Standing Light

Waves”

We study the possibility of detecting gravitational-waves with matter-wave interferometers, where

atom beams are split, deflected and recombined totally by standing light waves. Our calculation

shows that the phase shift is dominated by terms proportional to the time derivative of the

gravitational wave amplitude. Taking into account future improvements on current technologies, it is

promising to build a matter-wave interferometer detector with desired sensitivity.

Yun Kau Lau (AMSS):

“Coevolution of black holes-galaxies and space detection of gravitational waves"

Junwei Cao (Tsinghua U):

“Summary of Gravitational Wave Research Activities at Tsinghua University”

The LSC group at Tsinghua University is the only LSC member in mainland China. Its contribution to

LIGO currently revolves around the use of modern computing techniques: virtual machines, GPU

acceleration, and advanced algorithms. The four research lines followed in the group in preparation

for Advanced LIGO are presented.

Yuta Michimura (U of Tokyo):

“Alignment Sensing and Control for the KAGRA interferometer”

KAGRA is a cryogenic interferometric gravitational wave detector which is under construction at the

underground site of Kamioka mine. In order to achieve the fundamental sensitivity of KAGRA, mirror

motions of the interferometer must be finely controlled. However, the alignment control of mirrors

will be one of the most challenging issue because of angular instability of the arm cavities and high

degeneracy of alignment signals from each mirror. Also, complexity of the KAGRA cryogenic

suspension makes this issue more challenging. I will present recent results from a model we

developed for simulating the alignment sensing and control scheme.

Ayaka Shoda (U of Tokyo):

“A New Detector for Low-Frequency Gravitational Waves: Torsion-bar Antenna”

Gravitational wave (GW) astronomy will reveal the new aspect of our universe. Examples of

interesting targets that we can observe only by GWs are black hole binaries and a stochastic

gravitational wave background (SGWB). However, the ground-based interferometers and other

ground based detectors do not have good sensitivity below 10 Hz though the main frequency of

GWs from black hole binaries and a SGWB is lower. Then, we developed novel detector Torsion-bar

Antenna (TOBA). TOBA is fundamentally sensitive around 0.1 - 1.0 Hz even on the ground. We have

already developed first prototypes and performed a SGWB search. This work set a first upper limit

on a SGWB around 0.2 Hz. Now we are upgrading the prototype as a next step. I will introduce our

experiment and a future plan.

Yusuke Sakakibara (U of Tokyo):

“Cooling time reduction of KAGRA”

In interferometric cryogenic gravitational wave detectors, such as KAGRA in Japan, there are plans

to cool mirrors and their suspension systems (payloads) in order to reduce thermal noise, that is,

one of the fundamental noise sources.  Because of the large payload masses (several hundred kg

in total) and their thermal isolation, a cooling time of several months is required.  Our calculation

shows that a high-emissivity coating (e.g. a diamond-like carbon (DLC) coating) can reduce the

cooling time effectively by enhancing radiation heat transfer.  Here, we have experimentally verified

the effect of the DLC coating on the reduction of the cooling time.

Yuki Susa (Tokyo Institute of Technology):

“Review of the SQL in Gravitational Wave Detection”