17,428 research outputs found
Uncertainty Relation Revisited from Quantum Estimation Theory
By invoking quantum estimation theory we formulate bounds of errors in
quantum measurement for arbitrary quantum states and observables in a
finite-dimensional Hilbert space. We prove that the measurement errors of two
observables satisfy Heisenberg's uncertainty relation, find the attainable
bound, and provide a strategy to achieve it.Comment: manuscript including 4 pages and 2 figure
Linear estimation in Krein spaces. Part II. Applications
We have shown that several interesting problems in H∞-filtering, quadratic game theory, and risk sensitive control and estimation follow as special cases of the Krein-space linear estimation theory developed in Part I. We show that all these problems can be cast into the problem of calculating the stationary point of certain second-order forms, and that by considering the appropriate state space models and error Gramians, we can use the Krein-space estimation theory to calculate the stationary points and study their properties. The approach discussed here allows for interesting generalizations, such as finite memory adaptive filtering with varying sliding patterns
Theory and Applications of Proper Scoring Rules
We give an overview of some uses of proper scoring rules in statistical
inference, including frequentist estimation theory and Bayesian model selection
with improper priors.Comment: 13 page
Online Drift Compensation for Chemical Sensors Using Estimation Theory
Sensor drift from slowly changing environmental conditions and other instabilities can greatly degrade a chemical sensor\u27s performance, resulting in poor identification and analyte quantification. In the present work, estimation theory (i.e., various forms of the Kalman filter) is used for online compensation of baseline drift in the response of chemical sensors. Two different cases, which depend on the knowledge of the characteristics of the sensor system, are studied. First, an unknown input is considered, which represents the practical case of analyte detection and quantification. Then, the more general case, in which the sensor parameters and the input are both unknown, is studied. The techniques are applied to simulated sensor data, for which the true baseline and response are known, and to actual liquid-phase SH-SAW sensor data measured during the detection of organophosphates. It is shown that the technique is capable of estimating the baseline signal and recovering the true sensor signal due only to the presence of the analyte. This is true even when the baseline drift changes rate or direction during the detection process or when the analyte is not completely flushed from the system
Network Coding: Connections Between Information Theory And Estimation Theory
In this paper, we prove the existence of fundamental relations between
information theory and estimation theory for network-coded flows. When the
network is represented by a directed graph G=(V, E) and under the assumption of
uncorrelated noise over information flows between the directed links connecting
transmitters, switches (relays), and receivers. We unveil that there yet exist
closed-form relations for the gradient of the mutual information with respect
to different components of the system matrix M. On the one hand, this result
opens a new class of problems casting further insights into effects of the
network topology, topological changes when nodes are mobile, and the impact of
errors and delays in certain links into the network capacity which can be
further studied in scenarios where one source multi-sinks multicasts and
multi-source multicast where the invertibility and the rank of matrix M plays a
significant role in the decoding process and therefore, on the network
capacity. On the other hand, it opens further research questions of finding
precoding solutions adapted to the network level.Comment: IEEE Wireless Communications and Networking Conference (WCNC), April,
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Quantum estimation theory
Bibliography: p. 10."January 1979."Supported by NSF Grant ENG76-02860 NSF Grant ENG77-28444by Sanjoy K. Mitter, Stephen K. Young
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