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Tensor-based approach for time-delay estimation

: Hammoud, Bilal; Antreich, Felix; Nossek, Josef Anton; Carvalho Lustosa da Costa, Joao Paulo

Informationstechnische Gesellschaft -ITG-:
WSA 2016, 20th International ITG Workshop on Smart Antennas. CD-ROM : March 9-11, 2016, Munich, Germany
Berlin: VDE Verlag, 2016 (ITG-Fachbericht 261)
ISBN: 3-8007-4177-6
ISBN: 978-3-8007-4177-9
International Workshop on Smart Antennas (WSA) <20, 2016, Munich>
Conference Paper
Fraunhofer IIS ()
Verfahren der Navigation; Navigationssystem; GPS; Galileo

Multipath (ML) signals reflected from the surrounding objects of a Global Navigation Satellite Systems (GNSS) receiver lead to a bias in the time-delay estimation of the line-of-sight (LOS) signal. In several cases, this bias is reflected as errors in the pseudo-range estimation of the receiver. In this paper, we derive a tensor-based filtering approach using an antenna array and a compression method based on canonical components (CC) with a bank of signal matched correlators in order to mitigate multipath and to estimate the time-delay of the LOS signal of a GNSS satellite. First, we resort to multi-dimensional filtering based on the principal singular vectors of the multi-dimensional data. In order to separate highly correlated signal components in the multi-dimensional signal subspace methods like forward-backward averaging (FBA), spatial smoothing (SPS), and the recently developed expanded spatial smoothing (SPS-EXP) are applied. Afterwards, time-delay estimation of the LOS signal is performed with a simple interpolation based on the multi-dimensional filtered cross-correlation values of the bank of correlators. An advantage of such an approach is that no multi-dimensional nonlinear problems need to be solved and also no model order estimation is required.