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Phase-based frequency estimators over frequency-selective fading channels are examined. The implementation complexity of phase-based estimators is low due to their explicit structures which require no numerical search. The statistical information of the measurement phase noise (MPN) is crucial for phase-based estimators. The exact probability density function of the MPN over frequency-selective fading...
The exact statistical models for the measurement phase noise in estimating the frequency and phase of a single sinusoid over the additive white Gaussian noise channel are derived. The a posteriori probability density function (PDF) and the a priori PDF of the phase noise derived are given by explicit, closed-form expressions that are valid for arbitrary signal-to-noise ratios. It is shown that as...
Iterative decoding of low-density parity-check codes transmitted over noncoherent channels using binary differential phase-shift keying modulation is examined. Using the joint estimation approach and the averaged likelihood function approach, the log-likelihood ratios of the two values of each bit, based on two contiguous received signal samples that convey the bit, are derived. In addition, a simplified...
By incorporating apriori knowledge via the apriori probability density function of the frequency and phase, the Kalman estimator for linear, minimum mean-square error estimation of these single-tone parameters in additive, white, Gaussian noise is presented. First, a linear, two-dimensional state-space model for the frequency and phase of a sinusoid is formulated. Then, two Kalman filters are proposed,...
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