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In this paper, the authors study the Cramer-Rao Bound (CRB) for Continuous Phase Modulation (CPM) signals. Based on the CRB computations, they propose the optimum training sequence for joint estimation of carrier phase, frequency set and symbol timing. Their proposed training sequence is optimum in the sense that it minimizes the CRBs for all three estimation parameters simultaneously. The results are useful in the design of training sequences attached to data packets in burst-mode transmissions where Data-Aided (DA) synchronization is employed.
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