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In this paper, the authors derive the PMEPR upper bound for the concatenation of OFDM (Orthogonal Frequency-Division Multiplexing) sequences. This new study enables people to construct the longer OFDM sequences from the shorter ones. They investigate how the PMEPR (Peak-to-Mean-Envelope-Power Ratio) upper bound changes as sequences of different lengths and PMEPRs concatenate. Their new theoretical results are crucial for the PMEPR control of OFDM sequences since it is harder to construct long sequences possessing good properties and concatenating several shorter sequences can be an effective alternative solution in practice.
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