Training sequence design for data-aided synchronization of burst-mode CPM

In this paper, we study the Cramér-Rao bound (CRB) for continuous phase modulation (CPM) signals. Based on the CRB computations, we propose the optimum training sequence for joint estimation of carrier phase, frequency offset and symbol timing. Our 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.