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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 1 Fourier Transform with differences on Simulated and Real Pulsar Data UPDATE Gamma-ray Large Area Space Telescope Marcus Ziegler Bill Atwood Brian Baughman Robert Johnson
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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 2 Basic Idea take only differences with t < max_diff typical max_diff = 10 000s typical EGRET viewingperiod ~ 1 000 000s Calculate the Fourier-Transform of the time differences of the photon arrival times t n.
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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 3 Dependence on max_diff The dependence of the signal width on max_diff Pulse width ~ 1/max_diff Simmulated Pulsar at 10Hz Power RMS off peak is called Noise Small max_diff + Small number of differences (fast) + Coarse stepping in Frequency space (fast) -Large noise (Small S/N ratio) Large max_diff + Good S/N ratio - Large number of differences (very slow)
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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 4 Blind Search for VELA VELA Viewing Period VP 7 max_diff 10 000s Scan region 1 Hz – 100 Hz Number of Photons 1 197 Number of differences 22 700 Number F trials 2 000 000 Calculations52 800 000 000 took 4h 30 min F0 catalog11.19888756 F0 from search 11.19882249 F1 catalog -0.1557 E-10 F1 from search 0.0850 E-10 F0 trials with S/N > 10 Refined search around good F0 candidates
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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 5 Blind Search for GEMINGA GEMINGA Viewing Period VP 10 max_diff 10 000s Scan region 1 Hz – 100 Hz Number of Photons 1 200 Number of differences 12 300 Number F trials 2 000 000 Calculations 2 400 000 000 took 3h 30 min F0 catalog4.2177501 F0 from search 4.2176815 F1 catalog -0.00195 E-10 F1 from search -0.00935 E-10 F0 trials with S/N > 10 Refined search around good F0 candidates
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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 6 The large F1 of CRAB Simmulate Pulsar F0 = 10Hz F1 = -3.0 E-10 F1 GEMINGA -0.00195 E-10 F1 VELA -0.15666 E-10 F1 CRAB -3.86228 E-10 Scan in F1 @ 10 Hz, max_diff 10 000s Scan in F1 CRAB max_diff 10 000s
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Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 7 F0 and F1 Scan for CRAB Scan in F CRAB max_diff 10 000s F1 steps @ 10Hz 0.05 E-10 F1 steps @ 30Hz 0.15 E-10 F0 catalog30.2254 F0 from search 29.9493 F1 catalog -3.8623 E-10 F1 from search -3.7719 E-10 Epoch CRAB 40000 Epoch Search48393 Calculations took 4d 16h
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