LISA Data Analysis Neil J Cornish Shane Larson

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

Outline l l l l 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 l l l Simple Waveforms High signal/noise (Too) Many sources Complex modulation One detector (Exception: Spinning Black Hole Binaries) LIGO l l l Complex Waveforms Poor signal/noise Few sources Weak modulation Two detectors (Exception: Isolated Pulsars)

Detector Response 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.

g. CLEAN Procedure

Single Source

Multiple Sources

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