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 |