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General Relativity and Quantum Cosmology, gr-qc
Abstract:
In this article we study a particular method of detection of chirp signals
from coalescing compact binary stars -- the so-called dynamical tuning, i.e.
amplification of the signal via tracking of its instantaneous frequency by the
tuning of the signal-recycled detector. A time-domain consideration developed
for signal-recycled interferometers, in particular GEO 600, describes the
signal and noise evolution in the non-stationary detector. Its non-stationarity
is caused by motion of the signal recycling mirror, whose position defines the
tuning of the detector. We prove that the shot noise from the dark port and
optical losses remains white. The analysis of the transient effects shows that
during the perfect tracking of the chirp frequency only transients from
amplitude changes arise. The signal-to-noise-ratio gain, calculated in this
paper, is ~ 16 for a shot-noise limited detector and ~ 4 for a detector with
thermal noise.
