A user equipment (UE) cell search involves tuning a demodulation frequency of the UE based on signals received from a first encountered cell and using a non-initial cell search procedure to continue searching for a cell that is qualified for camping on, wherein the non-initial cell search procedure relies on the demodulation frequency being within limits of accuracy that enable successful reception and decoding of received information. Prior to finding a qualified cell, information enabling a first discovered unqualified cell to again be found is saved. After a period of time during which the non-initial cell search procedure has been performed and before the UE's demodulation frequency is beyond acceptable limits of accuracy, the saved information is used to again tune the demodulation frequency based on reading signals from the first discovered unqualified cell. The UE then continues to perform the non-initial cell search procedure.