Sanjeev Dhurandhar Colloqm - Indian Institute of Astrophysics
Sanjeev Dhurandhar Colloqm - Indian Institute of Astrophysics
Sanjeev Dhurandhar Colloqm - Indian Institute of Astrophysics
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De-convolving the GW sky-map<br />
The integral equation must be inverted !<br />
D = B .P + n, D = D ( W )<br />
D : data<br />
B : known beam matrix<br />
P : GW power distribution over sky pixels<br />
i<br />
i<br />
n : noise<br />
Solution:<br />
ML estimator:<br />
T - 1 - 1 T -1<br />
P = ( B N B ) B N .D<br />
12 th February 2008 <strong>Indian</strong> <strong>Institute</strong> <strong>of</strong> <strong>Astrophysics</strong> Colloquium