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With the fast development of wireless mobile communication networks, the 4th and 5th-generation wireless mobile communication systems are now applied in different fields. They can be efficiently used in land–air wireless communication to provide wireless Inter-net services for passengers on civilian aircrafts. The frequency offset estimation (FOE) is an important issue in land–air wireless communication environment. Accordingly, a novel joint FOE scheme based on the orthogonal frequency division multiplexing system is pro-posed in this paper. Firstly, this paper proposes a new FOE algorithm based on the peak power ratio (PPR) on the physical random-access channel (PRACH). Secondly, a joint FOE scheme is proposed, which uses the conventional FOE based on the physical uplink shared channel and the proposed PPR FOE based on PRACH. The proposed joint FOE scheme can extend the range of FOE from [−1000 Hz, 1000 Hz] to [−1875 Hz, 1875 Hz] and has better performance than the proposed PPR FOE method and the conventional FOE. [ABSTRACT FROM AUTHOR]