Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.1, pp.39-43

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.1, pp.39-43

Performance of BPSK Soft-Limited Channel in the Presence of Imperfect Carrier Reference Signal Extraction
Mihajlo C. Stefanovic, Cemal Dolicanin, and Vladica B. Mitrovic

This paper presents an analytical approach for determining the bit error probability in detecting a binary phase-shift-keying (BPSK) signal transmitted over a soft-limited channel in the presence of the uplink and downlink noise, as well as the noisy carrier reference signal. The phase-locked loop (PLL), as the constituent part of the receiver in the receiving ground station, is used in providing the reference signal extraction, which is assumed to be imperfect. The uplink noise is considered in the specific way through the envelope variations and the frequency offset of the signal remitted by the satellite station having influence on the variations of the phase locked loop parameters in the receiving ground station, consequently on the probability density function of the phase error, i.e. the average bit error probability. The obtained results are based on the nonlinear phase-locked loop model with primary emphasis on the degradation in the system performance produced by the imperfect carrier signal extraction.
Key words: satellite communications, phase-locked loop, nonlinear model, error probability

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