The focus of this article was on the Doppler effect caused by the acceleration due to the relative motion between the transmitter and receiver. This acceleration affects the correlation behavior of the cyclic prefix and destroys the orthogonality of the sub-carriers due to the synchronization impairments.

The proposed system is assessed through simulations at different scenarios and at different channel conditions to imitate the realistic case. Additionally, the suggested method is investigated with an off-line data that was recorded and processed from an experiment at the North Sea. This paper presented a technique to tackle the effect of a broadband time varying Doppler shift in UWC. This technique adopted a learn- ing and punishment approach to iteratively estimate the Doppler shift parameters. These parameters were estimated by the cooperation of a two point estimation of the normalized correlation of the first order moment in addition to the linear prediction of the speed change. This method is very robust when the relative velocity is changing linearly and capable of dealing with the ve- locity inflection. The suggested algorithm is capable of tackling an acceleration up to ±1 m/s2 during the packet time and correcting a speed up to 3 m/s.