W. Huang et al., PLL PERFORMANCE OF DS-CDMA SYSTEMS IN THE PRESENCE OF PHASE NOISE, MULTIUSER INTERFERENCE, AND ADDITIVE GAUSSIAN-NOISE, IEEE transactions on communications, 46(11), 1998, pp. 1507-1515
The performance of decision-directed phase-locked loops (PLL) for use
in direct-sequence code-division multiple-access (DS-CDMA) systems is
investigated in the presence of phase noise, multiuser interference, a
nd additive white Gaussian noise (AWGN), A unified and accurate analys
is of the effect of these sources of noise on the PLL is carried out b
ased on a nonlinear model (the Fokker-Planck method) since a linear an
alysis yields a large deviation between analytical results and actual
performance at low signal-to-noise ratios (SNR:). After describing the
implementation of the PLL, the steady-state probability density funct
ion (PDF) of the phase estimator error in a first-order loop is derive
d. It is shown that a tradeoff exists between the effect due to the ph
ase noise, the magnitude of the multiuser interference, and the AWGN a
s a function of loop bandwidth, The optimal loop bandwidth minimizing
the impact of these sources of noise on the PLL and the requirements o
n the, frequency uncertainty of the carrier source for a required accu
racy of the phase estimator are detailed, Numerical results of the var
iance of the phase estimator error are discussed for Gold codes.