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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

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