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Source range and depth estimation from multipath range difference measurements

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2 Author(s)
J. S. Abel ; Inf. Syst. Lab., Stanford Univ., CA, USA ; J. O. Smith

A prefilter is developed that converts range differences into position estimates for the case of multipath range differences or simple range differences measured to a collinear element array. Lower bounds are placed on the variance of position estimates. The sensor placement providing the minimum bound variance is discussed, and an estimator-achieving the variance lower bound in the limit of small estimation errors-is presented. The estimator is the minimizer of a weighted equation error norm, and is a closed-form function of the measured range differences; analytic expressions for its bias and variance are given

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IEEE Transactions on Acoustics, Speech, and Signal Processing  (Volume:37 ,  Issue: 8 )