29 April 2010 Application of ℓp-regularized least squares for 0≤p≤1 in estimating discrete spectrum of relaxations for electromagnetic induction responses
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Abstract
The EMI response of a target can be accurately modeled by a sum of real exponentials. However, it is difficult to obtain the model parameters from measurements when the number of exponentials in the sum is unknown. In this paper, the estimation problem is reformulated into a linear system and model parameters are estimated through a modified Lp-regularized least squares algorithm for 0 <= p <= 1. Using tests on synthetic data and laboratory measurement of known targets the proposed method is shown to provide satisfactory and stable estimates. In addition, the proposed method does not require a good initial guess for convergence.
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Mu-Hsin Wei, Mu-Hsin Wei, Waymond R. Scott, Waymond R. Scott, James H. McClellan, James H. McClellan, Gregg D. Larson, Gregg D. Larson, } "Application of ℓp-regularized least squares for 0≤p≤1 in estimating discrete spectrum of relaxations for electromagnetic induction responses", Proc. SPIE 7664, Detection and Sensing of Mines, Explosive Objects, and Obscured Targets XV, 76640F (29 April 2010); doi: 10.1117/12.852397; https://doi.org/10.1117/12.852397
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