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In principle, for an impulsive gravitational-wave signal, the signal-to-noise ratio for a resonant-mass antenna is independent of frequency if the limiting noise source is the antenna thermal noise. A gain-bandwidth restriction only arises when the coupling of the resonant antenna to the output amplifier is considered. Applying Bode's gain-bandwidth theorem we are able to derive in a general way the linear amplifier sensitivity limit for a resonant-mass detector. The practical bandwidth limits for a detector utilizing a superconducting inductive transducer are discussed. A fractional bandwidth of {~}0.17 appears feasible with current technology. Additional bandwidth and sensitivity can be achieved with an array of detectors.
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Michelson et al. (1984) studied this question.
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