Correlations of time-frequency spectra can measure EMRI population parameters to a few percent accuracy even when the EMRI gravitational wave background is two orders of magnitude weaker than the white dwarf foreground.
Detecting extreme mass ratio inspirals with LISA using time-frequency methods II: search characterization
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abstract
The inspirals of stellar-mass compact objects into supermassive black holes constitute some of the most important sources for LISA. Detection of these sources using fully coherent matched filtering is computationally intractable, so alternative approaches are required. In a previous paper (Wen and Gair 2005, gr-qc/0502100), we outlined a detection method based on looking for excess power in a time-frequency spectrogram of the LISA data. The performance of the algorithm was assessed using a single `typical' trial waveform and approximations to the noise statistics. In this paper we present results of Monte Carlo simulations of the search noise statistics and examine its performance in detecting a wider range of trial waveforms. We show that typical extreme mass ratio inspirals (EMRIs) can be detected at distances of up to 1--3 Gpc, depending on the source parameters. We also discuss some remaining issues with the technique and possible ways in which the algorithm can be improved.
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Time-frequency Imprints of Extreme Mass-Ratio Inspirals in Confusion Gravitational Wave Background
Correlations of time-frequency spectra can measure EMRI population parameters to a few percent accuracy even when the EMRI gravitational wave background is two orders of magnitude weaker than the white dwarf foreground.