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
Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 2 Basic Idea take only differences with t < max_diff typical max_diff = s typical EGRET viewingperiod ~ s Calculate the Fourier-Transform of the time differences of the photon arrival times t n.
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)
Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 4 Blind Search for VELA VELA Viewing Period VP 7 max_diff s Scan region 1 Hz – 100 Hz Number of Photons Number of differences Number F trials Calculations took 4h 30 min F0 catalog F0 from search F1 catalog E-10 F1 from search E-10 F0 trials with S/N > 10 Refined search around good F0 candidates
Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 5 Blind Search for GEMINGA GEMINGA Viewing Period VP 10 max_diff s Scan region 1 Hz – 100 Hz Number of Photons Number of differences Number F trials Calculations took 3h 30 min F0 catalog F0 from search F1 catalog E-10 F1 from search E-10 F0 trials with S/N > 10 Refined search around good F0 candidates
Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 6 The large F1 of CRAB Simmulate Pulsar F0 = 10Hz F1 = -3.0 E-10 F1 GEMINGA E-10 F1 VELA E-10 F1 CRAB E-10 Scan in 10 Hz, max_diff s Scan in F1 CRAB max_diff s
Marcus Ziegler SCIPP/UCSCPulsar Meeting DC2 7 F0 and F1 Scan for CRAB Scan in F CRAB max_diff s F1 10Hz 0.05 E-10 F1 30Hz 0.15 E-10 F0 catalog F0 from search F1 catalog E-10 F1 from search E-10 Epoch CRAB Epoch Search48393 Calculations took 4d 16h