A. Ortolan et al., OPTIMAL RECONSTRUCTION OF THE INPUT SIGNAL IN RESONANT GRAVITATIONAL-WAVE DETECTORS - DATA-PROCESSING ALGORITHM AND PHYSICAL LIMITATIONS, Physical review. D. Particles and fields, 50(8), 1994, pp. 4737-4743
We discuss a method of data filtering for a resonant gravitational wav
e detector that allows an optimal reconstruction of the input signal.
The method consists of the estimate, by optimal Wiener filtering, of t
he amplitude of the Karhunen-Loeve components of the signal at the ant
enna input, and only needs the assumption that the signal has a finite
duration. After discussing an application of the method to a simplifi
ed model for a resonant antenna, we present a practical application to
the reduction of the data from a room temperature antenna.