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LIGO, the Laser Interferometer Gravitational-wave Observatory, has beendesigned and constructed to measure gravitational wave strain via differentialarm length. The LIGO 4-km Michelson arms with Fabry-Perot cavities haveauxiliary length control servos for suppressing Michelson motion of thebeam-splitter and arm cavity input mirrors, which degrades interferometersensitivity. We demonstrate how a post-facto pipeline (AMPS) improves a datasample from LIGO Science Run 6 with feedforward subtraction. Dividing data into1024-second windows, we numerically fit filter functions representing thefrequency-domain transfer functions from Michelson length channels into thegravitational-wave strain data channel for each window, then subtract thefiltered Michelson channel noise (witness) from the strain channel (target). Inthis paper we describe the algorithm, assess achievable improvements insensitivity to astrophysical sources, and consider relevance to futureinterferometry.

Increasing LIGO sensitivity by feedforward subtraction of auxiliary length control noise