dc.contributor.advisor |
Dhurandhar, Sanjeev |
en_US |
dc.contributor.author |
UPADHYAYA, PRANJAL |
en_US |
dc.date.accessioned |
2021-01-15T09:50:08Z |
|
dc.date.available |
2021-01-15T09:50:08Z |
|
dc.date.issued |
2020-06 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5547 |
|
dc.description.abstract |
The analysis of stochastic gravitational wave background involves the cross-correlation of signals detected by the two detectors at short time intervals augmented by a filter to optimize the signal to noise ratio. The rotation of Earth leads to a change in the baseline with respect to the signal coming from a particular direction in the sky which causes interference which is used to sample the Gravitational Wave Background. This however leads to a point spread function which means that the contribution from a single source spreads across the sky-sphere. The statistic that is obtained from this analysis shows that the contribution at each point is a weighted sum from the sources over the entire sky.If the sky is divide into n pixels, the weights form a $n \times n$ matrix dubbed the beam pattern matrix. The power is now obtained by solving n linear algebraic equations in power. This process is called deconvolution. The aim of this project is to get a basis to represent the beam pattern matrix and do away with the need to deconvolve the map which is a cumbersome process. The basis being optimized to the problem might also provide some new insight into the problem. |
en_US |
dc.language.iso |
en |
en_US |
dc.subject |
Research Subject Categories::NATURAL SCIENCES::Physics::Other physics::Theory of relativity, gravitation |
en_US |
dc.subject |
Research Subject Categories::NATURAL SCIENCES::Physics::Other physics::Mathematical physics |
en_US |
dc.title |
Improving the Radiometric Search of Stochastic Gravitational Wave Background with a Natural Set of Basis Functions |
en_US |
dc.type |
Thesis |
en_US |
dc.contributor.department |
Dept. of Physics |
en_US |
dc.contributor.registration |
20151137 |
en_US |