Abstract
We report on the application of Wiener filters to the data of Weber-type gravitational-wave antennas, with particular reference to data processed by means of lock-in amplifiers driven at the frequencies of the modes of the detector. After a review of some basic results concerning the filtering of the data, we briefly examine the relationship between Wiener filters and matched filters. The discussion that follows is centred on various aspects related to the practical application of Wiener filters as well as on their limitations, also addressing the dependence of their performance on the values of their parameters. Finally, we consider some applications of non-optimal Wiener filters: by reducing the filter smoothing time constant, the time resolution can be increased; by increasing it, the filter becomes an estimator of the Brownian motion.
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