6,438 research outputs found
Optimal filtering of the LISA data
The LISA time-delay-interferometry responses to a gravitational-wave signal
are rewritten in a form that accounts for the motion of the LISA constellation
around the Sun; the responses are given in closed analytic forms valid for any
frequency in the band accessible to LISA. We then present a complete procedure,
based on the principle of maximum likelihood, to search for stellar-mass binary
systems in the LISA data. We define the required optimal filters, the
amplitude-maximized detection statistic (analogous to the F statistic used in
pulsar searches with ground-based interferometers), and discuss the false-alarm
and detection probabilities. We test the procedure in numerical simulations of
gravitational-wave detection.Comment: RevTeX4, 28 pages, 9 EPS figures. Minus signs fixed in Eq. (46) and
Table II. Corrected discussion of F-statistic distribution in Sec. IV
Quasi-Optimal Filtering in Inverse Problems
A way of constructing a nonlinear filter close to the optimal Kolmogorov -
Wiener filter is proposed within the framework of the statistical approach to
inverse problems. Quasi-optimal filtering, which has no Bayesian assumptions,
produces stable and efficient solutions by relying solely on the internal
resources of the inverse theory. The exact representation is given of the
Feasible Region for inverse solutions that follows from the statistical
consideration.Comment: 9 pages, 240 K
Effect of reduced computer precision on a midcourse navigation and guidance system using optimal filtering and linear prediction
Reduced computer precision effect on midcourse navigation and guidance system using optimal filtering and linear predictio
On the Sensitivity of a Hollow Sphere as a Multi-modal Resonant Gravitational Wave Detector
We present a numerical analysis to simulate the response of a spherical
resonant gravitational wave detector and to compute its sensitivity. Under the
assump- tion of optimal filtering, we work out the sensitivity curve for a
sphere first taking into account only a single transducer, and then using a
coherent analysis of the whole set of transducers.Comment: 24 pages, 11 figures, published versio
Improved mirror position estimation using resonant quantum smoothing
Quantum parameter estimation, the ability to precisely obtain a classical
value in a quantum system, is very important to many key quantum technologies.
Many of these technologies rely on an optical probe, either coherent or
squeezed states to make a precise measurement of a parameter ultimately limited
by quantum mechanics. We use this technique to theoretically model, simulate
and validate by experiment the measurement and precise estimation of the
position of a cavity mirror. In non-resonant systems, the achieved estimation
enhancement from quantum smoothing over optimal filtering has not exceeded a
factor two, even when squeezed state probes were used. Using a coherent state
probe, we show that using quantum smoothing on a mechanically resonant
structure driven by a resonant forcing function can result significantly
greater improvement in parameter estimation than with non-resonant systems. In
this work, we show that it is possible to achieve a smoothing improvement by a
factor in excess of three times over optimal filtering. By using intra-cavity
light as the probe we obtain finer precision than has been achieved with the
equivalent quantum resources in free-space.Comment: 14 pages, 9 figures and 1 tabl
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