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On the other hand, considering multi-carrier communication, the joint compensation of timing and carrier frequency offsets is studied in [363] and their work can be extended to consider joint estimation of synchronization impairments.
Finally, as detailed in Table 18, the categorized papers may also differ with respect to providing joint channel estimation, requiring CSI or training, proposing estimation or compensation, or providing lower bounds on estimation of synchronization parameters.
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However, both papers, [200, 203], do not consider channel estimation as it may help in improving the estimation performance of synchronization impairments, and further, they do not suggest algorithms for compensation of MTOs and MCFOs.
The reduction of the intrinsic synchronization error will facilitate a precise estimation of the synchronization between a parent node and its children, or between different neighbors.
The calculation of PSYNC for HIPESYN is conducted according to the estimation of the synchronization error for this algorithm.
The estimation of the synchronization parameters and the channel state relies on scattered pilots obtained with the auxiliary pilot technique.
The only assumption lies on the perfect estimation of timing synchronization (one sample per symbol, optimum sampling time).
Finally, note that this error value is further required to compute the estimation of the synchronization error, as it is explained below.
Before the estimation of phase-synchronization, to achieve a reference-free evaluation, the current source density (CSD) at each electrode position was obtained by applying the spherical Laplace operator to the voltage distribution on the surface of the scalp [64].
Bayesian filters for estimation of time-varying synchronization parameters in spread spectrum systems have already been suggested in the field of communications using the extended Kalman filter [17] as well as the sequential Monte Carlo approach [18, 19].
In GNSS receivers, antenna arrays are usually applied to signal tracking, where the algorithms may have access to an initial coarse estimation of the signal synchronization parameters and the array attitude (and thus an estimation of the direction of arrival of the desired signals).
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