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Detection of Multiple Transient Signals with Unknown Arrival Times
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
2005 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 51, no 5, 1856-1860 p.Article in journal (Refereed) Published
Abstract [en]

The problem of optimal detection of signal transients with unknown arrival times contaminated by additive Gaussian noise is considered. The transients are assumed to be time continuous and belong to a parameterized family with the uncertainty about the parameters described by means of an a priori distribution. Under the assumption of a negligible probability that the independent transient observations overlap in time, a likelihood ratio is derived for the problem of detecting an unknown number of transients from the family, each transient with unknown arrival time. The uncertainty about the arrival times is assumed to be equal for all transients and is also described by means of a distribution. Numerical simulations of the performance of detecting a particular transient signal family are presented in the form of receiver operating characteristics (ROCs) for both the optimal detector and the classical generalized likelihood ratio test (GLRT). The results show that the optimal detector yields noticeable performance improvements over the GLRT. Moreover, the results show that the optimal detector may still outperform the GLRT when the true and modeled uncertainties about arrival times no longer agree.

Place, publisher, year, edition, pages
2005. Vol. 51, no 5, 1856-1860 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-90174DOI: 10.1109/TIT.2005.846445OAI: oai:DiVA.org:uu-90174DiVA: diva2:162437
Available from: 2003-03-17 Created: 2003-03-17 Last updated: 2014-01-21Bibliographically approved
In thesis
1. Optimal Detectors for Transient Signal Families and Nonlinear Sensors: Derivations and Applications
Open this publication in new window or tab >>Optimal Detectors for Transient Signal Families and Nonlinear Sensors: Derivations and Applications
2003 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis is concerned with detection of transient signal families and detectors in nonlinear static sensor systems. The detection problems are treated within the framework of likelihood ratio based binary hypothesis testing.

An analytical solution to the noncoherent detection problem is derived, which in contrast to the classical noncoherent detector, is optimal for wideband signals. An optimal detector for multiple transient signals with unknown arrival times is also derived and shown to yield higher detection performance compared to the classical approach based on the generalized likelihood ratio test.

An application that is treated in some detail is that of ultrasonic nondestructive testing, particularly pulse-echo detection of defects in elastic solids. The defect detection problem is cast as a composite hypothesis test and a methodology, based on physical models, for designing statistically optimal detectors for cracks in elastic solids is presented. Detectors for defects with low computational complexity are also formulated based on a simple phenomenological model of the defect echoes. The performance of these detectors are compared with the physical model-based optimal detector and is shown to yield moderate performance degradation.

Various aspects of optimal detection in static nonlinear sensor systems are also treated, in particular the stochastic resonance (SR) phenomenon which, in this context, implies noise enhanced detectability. Traditionally, SR has been quantified by means of the signal-to-noise ratio (SNR) and interpreted as an increase of a system's information processing capability. Instead of the SNR, rigorous information theoretic distance measures, which truly can support the claim of noise enhanced information processing capability, are proposed as quantifiers for SR. Optimal detectors are formulated for two static nonlinear sensor systems and shown to exhibit noise enhanced detectability.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2003. 99 p.
Keyword
Signalbehandling, optimal detection, transient signals, noncoherent detection, unknown arrival time, ultrasonic nondestructive testing, nonlinear sensor, stochastic resonance, Signalbehandling
National Category
Signal Processing
Research subject
Signal Processing
Identifiers
urn:nbn:se:uu:diva-3343 (URN)91-506-1664-1 (ISBN)
Public defence
2003-04-11, K23, Magistern, Uppsala, 13:15
Opponent
Supervisors
Available from: 2003-03-17 Created: 2003-03-17Bibliographically approved

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