DocumentCode :
25021
Title :
Sparsity-Aware Multi-Source TDOA Localization
Author :
Jamali-Rad, Hadi ; Leus, Geert
Author_Institution :
Fac. of Electr. Eng., Math. & Comput. Sci., Delft Univ. of Technol., Delft, Netherlands
Volume :
61
Issue :
19
fYear :
2013
fDate :
Oct.1, 2013
Firstpage :
4874
Lastpage :
4887
Abstract :
The problem of source localization from time-difference-of-arrival (TDOA) measurements is in general a non-convex and complex problem due to its hyperbolic nature. This problem becomes even more complicated for the case of multi-source localization where TDOAs should be assigned to their respective sources. We simplify this problem to an ℓ1-norm minimization by introducing a novel TDOA fingerprinting and grid design model for a multi-source scenario. Moreover, we propose an innovative trick to enhance the performance of our proposed fingerprinting model in terms of the number of identifiable sources. An interesting by-product of this enhanced model is that under some conditions we can convert the given underdetermined problem to an overdetermined one that could be solved using classical least squares (LS). Finally, we also tackle the problem of off-grid source localization as a case of grid mismatch. Our extensive simulation results illustrate a good performance for the introduced TDOA fingerprinting paradigm as well as a significant detection gain for the enhanced model.
Keywords :
convex programming; direction-of-arrival estimation; fingerprint identification; time-of-arrival estimation; ℓ1-norm minimization; LS; TDOA fingerprinting model; classical least squares; detection gain; grid design model; hyperbolic nature; innovative trick; noncovex problem; off-grid source localization; sparsity-aware multisource TDOA localization; time-difference-of-arrival measurement; Multi-source localization; TDOA fingerprinting; sparse reconstruction;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2013.2272288
Filename :
6553269
Link To Document :
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