Optimal reconstruction of the input signal in resonant gravitational wave detectors: Data processing algorithm and physical limitations

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Gravitational Wave Detectors And Experiments, Gravitational Radiation Detectors, Mass Spectrometers, And Other Instrumentation And Techniques, Mathematical Procedures And Computer Techniques

Scientific paper

We discuss a method of data filtering for a resonant gravitational wave detector that allows an optimal reconstruction of the input signal. The method consists of the estimate, by optimal Wiener filtering, of the amplitude of the Karhunen-Loève components of the signal at the antenna input, and only needs the assumption that the signal has a finite duration. After discussing an application of the method to a simplified model for a resonant antenna, we present a practical application to the reduction of the data from a room temperature antenna.

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