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Optimal Particle Filter Weight for Bayesian Direct Position Estimation in a GNSS Receiver.

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Direct Position Estimation (DPE) offers a novel Global Navigation Satellite System (GNSS) method for precise positioning. This technique, enhanced with particle filters, accurately processes signal correlations, even with multipath errors.

Keywords:
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Area of Science:

  • Geomatics Engineering
  • Satellite Navigation Systems
  • Signal Processing

Background:

  • Current Global Navigation Satellite System (GNSS) receivers typically convert signal correlations to pseudoranges before position estimation.
  • This linearization step can introduce errors and struggles with multi-modal probability distributions common in challenging signal environments.
  • Direct Position Estimation (DPE) presents a new approach to PVT estimation directly from GNSS signal correlations.

Purpose of the Study:

  • To adapt the Direct Position Estimation (DPE) measurement update for practical receiver implementation.
  • To incorporate residual user range errors, including multipath, into the DPE stochastic signal model.
  • To enable robust PVT estimation using GNSS multi-correlator values, even in the presence of signal disturbances.

Main Methods:

  • Derived a modified measurement update equation for particle filters within the DPE framework.
  • Implemented numerical evaluation in a logarithmic scale with appropriate normalizations for stability.
  • Integrated residual user range errors (orbit, clock, multipath, ionosphere) into the stochastic signal model from the outset.

Main Results:

  • Demonstrated that the standard GNSS signal model's measurement update is unsuitable for direct receiver implementation.
  • Developed a modified approach enabling sensible probability functions from GNSS multi-correlator values.
  • Showcased that multipath naturally widens the probability density function, improving robustness.

Conclusions:

  • The modified DPE approach, incorporating logarithmic scaling and comprehensive error modeling, is suitable for practical GNSS receivers.
  • This method effectively handles multi-modal distributions and signal errors like multipath.
  • Validated the enhanced DPE technique using both simulated and real-world GNSS data.