Neil J. Cornish & Shane Larson (Caltech)

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Presentation transcript:

Neil J. Cornish & Shane Larson (Caltech) LISA Data Analysis Neil J. Cornish & Shane Larson (Caltech)

Outline The LISA Data Analysis Problem Antenna Pattern and Detector Response Signal Modulation Circular Newtonian Binaries Template Space Topology & Geometry Source Identification Source Subtraction

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)

Detector Response Detector Response Tensor Decompose into Fourier components Detector Response Tensor (Cornish & Larson 2001,Cornish & Rubbo 2002)

Antenna Patterns

LISA’s scan pattern Frequency Modulation Amplitude Modulation

Circular Newtonian Binaries

Signal Modulation AM FM PM (Cutler 1998, valid for )

Template/Parameter Space Topology: Geometry: (Doppler metric)

Sky Location

Frequency and Orbital Phase

Angular Momentum Sphere

Template Count >75% Overlap (>95% Overlap takes ~ ) Fourier space method takes ~ 1 kflop to generate each template. Few hours to generate >95% bank.

gCLEAN Procedure

Single Source

Multiple Sources

Current Work Incorporating full detector response model Using all A,E,T channels Chirping sources Simultaneous multi-source removal