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Calibration Using Matrix Completion With Application to Ultrasound Tomography (2013)

Institute of Electrical and Electronics Engineers (IEEE)

In: IEEE Transactions on Signal Processing

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Publication Date: 2013-09-07

Description: We study the application of matrix completion in the process of calibrating physical devices. In particular we propose an algorithm together with reconstruction bounds for calibrating circular ultrasound tomography devices. We use the time-of-flight (ToF) measurements between sensor pairs in a homogeneous medium to calibrate the system. The calibration process consists of a low-rank matrix completion algorithm to de-noise and estimate random and structured missing ToFs, and the classic multi-dimensional scaling method to estimate the sensor positions from the ToF measurements. We provide theoretical bounds on the calibration error. Several simulations are conducted to evaluate the theoretical results presented in this paper.

Print ISSN: 1053-587X

Electronic ISSN: 1941-0476

Topics: Electrical Engineering, Measurement and Control Technology

Published by Institute of Electrical and Electronics Engineers (IEEE) on behalf of The IEEE Signal Processing Society.

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