In 5G NR systems, users with restricted signal bandwidth may suffer from poor positioning and range performance. In this paper, we present a detailed performance analysis of the frequency hopping method, allowing such users to cover significantly more frequency bandwidth while having a relatively small signal bandwidth in a given time interval. The performance is investigated in a non-stationary frequency selective channel in the absence of phase continuity between hops using coherent or non-coherent joint full frequency bandwidth signal processing algorithms. It was shown that the correct operation of the coherent algorithm requires the phase errors compensation between each pair of signal frequency hops. The proposed non-coherent signal processing algorithm does not require correction of the signal phases and demonstrates its advantages for high mobility users in comparison with the coherent algorithm.