Mean time to loss of lock and average switching rate of an automatic frequency control loop with an interferer and noise in a fading channel

  • Authors:

  • Amin Emad;Norman C. Beaulieu

  • Affiliations:

  • Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

The performance of an automatic frequency control (AFC) loop in a noisy fading channel when an interference signal is present at the input of the AFC is studied. Independent non-identically distributed (i.n.d.) channels with Rayleigh and Rician fading are considered. The received signals are assumed to be narrowband and linearly modulated while the analysis is applicable to the unmodulated scenario as well. Closed-form expressions and integral form formulas are derived for the mean time to loss of lock (MTLL) and the average switching rate (ASR) of an AFC. Numerical examples are provided to illustrate the effects of noise and slow fading on the performance of an AFC in the presence of an interferer. It is shown that in some scenarios, an AFC has a better performance if the desired signal is corrupted by more noise.