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A novel joint frame synchronization and carrier frequency offset estimation scheme for burst transmission mode multi-carrier systems is proposed, which uses a Central- Symmetric and Comb-Like training sequence (CSCL). This time-domain Comb-Like shape eases its power detection at the receiver without increasing the total training sequence power. Fine frame synchronization as well as carrier frequency offset acquisition with a maximum acquisition range of plusmnN/4timesSF times the subcarrier spacing can also be performed based on the proposed training sequence, where N denotes the Discrete Fourier Transform (DFT) length and SF stands for an integer-valued spreading factor that is used to generate the proposed training sequence. The remaining carrier frequency offset after acquisition can be further estimated and corrected by using a Fine Adjustment algorithm. In order to reduce the performance loss introduces by a higher Peak-to-Average Power Ratio (PAPR) in the CSCL, a time-domain Constant-Envelop training sequence (CE) is also proposed in this paper, which outperforms CSCL- based algorithm. The comparison of the proposed algorithms with the SS (Shi&Serpedin) algorithm by computer simulation illustrates the superior performance of the proposed algorithm with regard to estimation accuracy.