Analysis of a Frame - and Frequency Synchronizerfor (

| Analytical results for a frame-and carrier 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 preex, a surprising statistical eeect occurs in non{dispersive channels; the lock{in probability of the frame synchro-nizer is non{uniformly distributed inside the valid synchronization range. This eeect is illuminated with a theory which perfectly corresponds to simulation results. 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.