GPS Solutions

, 24:5 | Cite as

A model for assessing the impact of linear and nonlinear distortions on a GNSS receiver

  • Mariano VergaraEmail author
  • Felix Antreich
  • Christoph Enneking
  • Matteo Sgammini
  • Gonzalo Seco-Granados
Original Article


The tracking performance of a global navigation satellite system (GNSS) receiver is altered by signal distortions of different kinds, ranging from transmitter and receiver imperfections to various forms of channel impairments. Accurate modeling of the receiver performance in the presence of signal distortions allows to improve GNSS-based positioning, tighten error bounds, and thus enhance the integrity and the availability of the GNSS services. We present a model for the code-tracking loop performance of a GNSS receiver when the GNSS signal undergoes an arbitrary cascade of nonlinear and linear distortions. The impact of the distortions on the pseudorange estimation is analyzed by deriving closed-form expressions for the bias and variance of the tracking error. These analytical expressions are based on the well-known open-loop linearized delay-locked loop model. The validation is then performed using a GNSS software receiver that evaluates the tracking error numerically.


Signal quality monitoring Evil waveforms Tracking performance Delay-locked loop (DLL) 



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Airbus Defense and Space GmbHTaufkirchenGermany
  2. 2.German Aerospace Center (DLR)WesslingGermany
  3. 3.IEEC-CERESUniversitat Autònoma de Barcelona (UAB)BarcelonaSpain
  4. 4.Aeronautics Institute of Technology (ITA)São José dos CamposBrazil

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