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Neil J. Cornish & Shane Larson (Caltech)
LISA Data Analysis Neil J. Cornish & Shane Larson (Caltech)
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Outline The LISA Data Analysis Problem
Antenna Pattern and Detector Response Signal Modulation Circular Newtonian Binaries Template Space Topology & Geometry Source Identification Source Subtraction
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Data Analysis: LISA LIGO Simple Waveforms High signal/noise
(Too) Many sources Complex modulation One detector Complex Waveforms Poor signal/noise Few sources Weak modulation Two detectors (Exception: Spinning Black Hole Binaries) (Exception: Isolated Pulsars)
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Detector Response Detector Response Tensor
Decompose into Fourier components Detector Response Tensor (Cornish & Larson 2001,Cornish & Rubbo 2002)
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Antenna Patterns
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LISA’s scan pattern Frequency Modulation Amplitude Modulation
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Circular Newtonian Binaries
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Signal Modulation AM FM PM (Cutler 1998, valid for )
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Template/Parameter Space
Topology: Geometry: (Doppler metric)
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Sky Location
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Frequency and Orbital Phase
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Angular Momentum Sphere
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Template Count >75% Overlap (>95% Overlap takes ~ )
Fourier space method takes ~ 1 kflop to generate each template. Few hours to generate >95% bank.
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gCLEAN Procedure
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Single Source
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Multiple Sources
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Current Work Incorporating full detector response model
Using all A,E,T channels Chirping sources Simultaneous multi-source removal
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