An Approximately Efficient TDOA Localization Algorithm in Closed-Form for Locating Multiple Disjoint Sources With Erroneous Sensor Positions

This paper considers the problem of time difference-of-arrival (TDOA) source localization when the TDOA measurements from multiple disjoint sources are subject to the same sensor position displacements from the available sensor positions. This is a challenging problem and closed-form solution with g...

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Vydáno v:IEEE transactions on signal processing Ročník 57; číslo 12; s. 4598 - 4615
Hlavní autoři: Le Yang, Ho, K.C.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY IEEE 01.12.2009
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Accuracy
Acoustic sensors
Algorithms
Applied sciences
Closed-form solution
Detection, estimation, filtering, equalization, prediction
Disjoint sources
Estimates
Exact sciences and technology
Exact solutions
Information, signal and communications theory
Localization
Mathematical analysis
Miscellaneous
Noise measurement
Nonlinear equations
Position (location)
Position measurement
Sensor arrays
sensor position errors
Sensor systems
Sensors
Signal and communications theory
Signal processing
Signal, noise
Sonar navigation
Studies
Telecommunications and information theory
Time difference of arrival
time difference of arrival (TDOA)
Time measurement
localization
Parameter estimation
Nonlinear problems
Algorithm
Joint detection
Arrival time
sensor position errors
Accuracy
Disjoint sources
Algorithm performance
Simulation
Source localization
time difference of arrival (TDOA)
Position measurement
Signal processing
Target detection
Cramer Rao inequality
ISSN:1053-587X, 1941-0476
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Popis
Shrnutí:This paper considers the problem of time difference-of-arrival (TDOA) source localization when the TDOA measurements from multiple disjoint sources are subject to the same sensor position displacements from the available sensor positions. This is a challenging problem and closed-form solution with good localization accuracy has yet to be found. This paper proposes an estimator that can achieve this purpose. The proposed algorithm jointly estimates the unknown source and sensor positions to take the advantage that the TDOAs from different sources have the same sensor position displacements. The joint estimation is a highly nonlinear problem due to the coupling of source and sensor positions in the measurement equations. We introduce the novel idea of hypothesized source locations in the algorithm development to enable the formulation of psuedolinear equations, thereby leading to the establishment of closed-form solution for source location estimates. Besides the advantage of closed-form, the newly developed algorithm is shown analytically, under the condition that the TDOA measurement noise and the sensor position errors are sufficiently small, to reach the CRLB accuracy. For clarity, the localization of two disjoint sources is used in the algorithm development. The developed algorithm is then examined under the special case of a single source and extended to the more general case of more than two unknown sources. The theoretical developments are supported by simulations.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2009.2027765