Analysis of some filtering and data analysis methods for gravitational wave antennas with resonant transducers
Abstract
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 widebandnarrowband noise.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1982
 Bibcode:
 1982STIN...8412359P
 Keywords:

 Gravitational Wave Antennas;
 Resonators;
 Signal Analysis;
 Wiener Filtering;
 Beat Frequencies;
 Brownian Movements;
 Electroacoustic Transducers;
 Noise Temperature;
 Resonant Frequencies;
 Signal To Noise Ratios;
 Communications and Radar