Time Delay Estimation for TDOA Self-Calibration using Truncated Nuclear Norm Regularization
Jiang, Fangyuan; Kuang, Yubin; Åström, Karl (2013). Time Delay Estimation for TDOA Self-Calibration using Truncated Nuclear Norm Regularization Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on, 3885 - 3889. The 38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013). Vancouver, Canada: IEEE - Institute of Electrical and Electronics Engineers Inc.
Conference Proceeding/Paper
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Published
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English
Authors:
Jiang, Fangyuan
;
Kuang, Yubin
;
Åström, Karl
Department:
Mathematics (Faculty of Engineering)
Mathematical Imaging Group
ELLIIT: the Linköping-Lund initiative on IT and mobile communication
eSSENCE: The e-Science Collaboration
Research Group:
Mathematical Imaging Group
Abstract:
Measurements with unknown time delays are common in different applications such as microphone array, radio antenna array calibration, where the sources (e.g. sounds) are transmitted in unknown time instants. In this paper, we present a method for estimating unknown time delays from Time-Difference-of-Arrival (TDOA) measurements. We propose a novel rank constraint on a matrix depending on the measurements and the unknown time delays. The time delays are recovered by solving a truncated nuclear norm minimization problem using alternating direction method of multipliers (ADMM). We show in synthetic experiments that the proposed method recovers the time delays with good accuracy for noisy and missing data.
Keywords:
Nuclear Norm ;
Time-Difference-of-Arrival ;
Time Delay Estimation ;
Self-Calibration ;
Computer Vision and Robotics (Autonomous Systems) ;
Mathematics
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