MSEE Thesis


The major goal of this work was to establish a set of algorithms for the investigation of processes classified as first order Markov. In particular, these algorithms were applied to the analysis of the first-order digital phase-locked loop. Several characteristics of the loop were investigated, including the steady-state phase reference density function and the associated probability of error, the acquisition process of the loop, including a study of the acquisition probabilities under different conditions, and the cycle slipping phenomenon as it applies to the DPLL. In general, the parameters of interest in each case above were determined and derived, then solved by means of numerical techniques

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