Solution to the inverse problem for a noisy spherical gravitational wave antenna
arXiv:gr-qc/9712079 · doi:10.1103/PhysRevD.58.062002
Abstract
A spherical gravitational wave antenna is distinct from other types of gravitational wave antennas in that only a single detector is necessary to determine the direction and polarization of a gravitational wave. Zhou and Michelson showed that the inverse problem can be solved using the maximum likelihood method if the detector outputs are independent and have normally distributed noise with the same variance. This paper presents an analytic solution using only linear algebra that is found to produce identical results as the maximum likelihood method but with less computational burden. Applications of this solution to gravitational waves in alternative symmetric metric theories of gravity and impulsive excitations also are discussed.
12 pages, 3 figures, to appear in Phys. Rev. D
References in corpus (4)
Cited by in corpus (10)
- The Past, Present and Future of the Resonant-Mass Gravitational Wave Detectors
- Sensitivity of the spherical gravitational wave detector MiniGRAIL operating at 5 K
- Complete model of a spherical gravitational wave detector with capacitive transducers. Calibration and sensitivity optimization
- Probing nuclear physics with supernova gravitational waves and machine learning
- Matched filter for multi-transducers resonant GW antennas
- Astrophysics from data analysis of spherical gravitational wave detectors
- Coherent detection method of gravitational wave bursts for spherical antennas
- Solution of the inverse problem in spherical gravitational wave detectors using a model with independent bars
- Events trigger generator for resonant spherical detectors of gravitational waves
- Multichannel matched filtering for spherical gravitational wave antennas