Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Active high resolution time delay estimation for large BT signals
IEEE Transactions on Signal Processing
Computation of spectral and root MUSIC through real polynomial rooting
IEEE Transactions on Signal Processing
Subspace-based estimation of time delays and Doppler shifts
IEEE Transactions on Signal Processing
GPS positioning in a multipath environment
IEEE Transactions on Signal Processing
Time delay and spatial signature estimation using knownasynchronous signals
IEEE Transactions on Signal Processing
Super-resolution TOA estimation with diversity for indoor geolocation
IEEE Transactions on Wireless Communications
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Positioning systems based on time of arrival (TOA) rely on an accurate estimation of the first signal arrival which is the only one bearing position information. In this context, first arrival path detectors based on the minimum variance (MV) and the normalized minimum variance (NMV) criteria are robust against multipath propagation and non-line-of-sight (NLOS) situations. The aim of the paper is twofold. On the one hand, efficient implementations of those criteria will be presented. On the other hand, two polynomial rooting procedures based on the MV criterion will be exposed. As it will be shown, they lead to better performance than the traditional MV versions based on a grid search. In general, these methods imply finding the roots of a polynomial with complex coefficients. In order to reduce their computational burden a conformal mapping is proposed herein.