Joint oversampled carrier and time-delay synchronization in digital communications with large excess bandwidth

  • Authors:
  • Jordi Vilí-Valls;Laurent Ros;Jean-Marc Brossier

  • Affiliations:
  • Universitat Politècnica de Catalunya (UPC), Jordi Girona 1-3, 08034 Barcelona, Spain;GIPSA-Lab, Department Image Signal, BP 46 - 38402 Saint Martin d'Hères, France;GIPSA-Lab, Department Image Signal, BP 46 - 38402 Saint Martin d'Hères, France

  • Venue:
  • Signal Processing
  • Year:
  • 2012

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Abstract

This paper deals with the joint estimation of the pair dynamical carrier phase/Doppler shift and the time-delay in a digital receiver. We consider a Binary Offset Carrier shaping function as used in satellite positioning, which is a time-limited pulse with a large excess bandwidth, and a Data Aided synchronization scenario, where we have a constant time-delay and a Brownian phase evolution with a linear drift. The proposed study is relative to the use of an oversampled signal model after matched filtering, leading to a colored reception noise and a non-stationary power signal. The contribution of this paper is twofold. First, we derive the Hybrid Cramer-Rao Bound for the joint phase/Doppler estimation problem. Then, we propose a method for the joint time-delay/carrier synchronization, which couples an Extended Kalman Filter and an Expectation-Maximization type algorithm. Our numerical results show the potential gain of using the oversampled signal for carrier synchronization, obtaining better performances than using a classical synchronizer, and good time-delay estimation.