Abstract

The potential false problem associated with the sampled data type of Costas loop implementation is addressed in this paper. The term lock is used here to differentiate this type of false behavior from the data sideband false behavior of analog Costas loops [1]-[8]. It is shown that the sampled-data version of the conventional Costas loop, sampled at a rate 1/T_{s} , can alias at frequencies that are multiples of 1/2T_{s} away from the carrier frequency. It is also shown that the alias problem of the sampled data version of the Costas loop with hard-limited in-phase channel is further Compounded by the potential occurrence of false frequencies at rational multiples of 1/2T_{s} , away from the carrier. The false S -curves of I-Q loops and decision-directed I-Q loops are investigated in detail, with and without additive noise. Close agreement between theory and earlier experimental results is also demonstrated.

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