ANALYSIS OF A FRAME- AND FREQUENCY SYNCHRONIZER FOR (BURSTY) OFDM

Analytical results for a frame- and car- rier frequency synchronization scheme with repetition preamble (2) are derived. When such a preamble is composed of random Orthogonal Frequency{Division Multiplexing (OFDM) symbols with cyclic preflx, a surprising statistical efiect occurs in non{dispersive channels; the lock{in probability of the frame synchro- nizer is non{uniformly distributed inside the valid syn- chronization range. This efiect is illuminated with a theory which perfectly corresponds to simulation re- sults. Furthermore, we provide an expression for the variance of the normalized frequency estimate in the presence of frame synchronization errors. This result can be used to design the required preamble length to achieve a prescribed burst frequency accuracy.

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