Analysis of Some Filtering and Data Analysis Methods for Gravitational Wave Antennas with Resonant Transducers

摘要

The signal, noise, and noise temperature of phase sensitive detectors (PSD's) driven at the initial bar resonance frequency (omega R); PSD's driven at omega R cascaded with PSD's driven at the beat frequency (omega b); and PSD's driven at the resonance frequency of the two modes arising from the interaction of the bar and the transducer are derived. Going from the single oscillator to the double oscillator the signal power is reduced by a factor of two, as the brownian and back reaction noise, and the wideband noise is increased by a factor of two, because of the doubling of the bandwidth. This gives a factor of four for the product wideband-narrowband noise.