Effect of frequency offset on carrier phase and symbol timing recovery in digital receivers

A new all-digital technique for clock and carrier phase synchronization of digital receivers was introduced by the authors. This technique is based on a polynomial approximation of the likelihood function and utilizes the Farrow (1988) structure for symbol interpolation. In this article, we analyze the effect of frequency offset or Doppler shift on the performance of the receiver while adjusting jointly the symbol timing and the carrier phase. Simulation results for the data-aided synchronization principle using two types of interpolators are provided and compared with the theoretical case. We notice that our optimized interpolator performs clearly better compared to the traditional Lagrange interpolator.