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System synchronization between the user equipment (UE) and the base station (eNodeB) is a fundamental physical layer procedure in the cellular system and performed by synchronization signal. New Radio (NR) synchronization signal is expected to have the wider band reserved, which enables the use of the longer sequence than that in Long Term Evolution (LTE). This paper simulates the downlink (DL) initial synchronization procedure for NR in 5G and evaluates the NR primary synchronization signal (NR-PSS) design with various lengths. To accomplish the DL initial synchronization at the UE, the NR-PSS is firstly detected in the time domain using a matched filter, and then the carrier frequency offset (CFO) is the sum of the integer frequency offset (IFO) and the sum of the fractional frequency offset (FFO). After compensating the CFO of the received signal, we detect the NR second synchronization signal (NR-SSS) in the frequency domain. To evaluate the NR-PSS design with various lengths, the performance of the residual timing offset and residual frequency offset is considered. The simulation results show that the performance of the residual timing offset with the longer sequences is better and the length of the NR-PSS has no impact on the performance of the residual frequency offset. Thus we propose longer sequences in the NR-PSS design when the performance of the residual timing offset and the residual frequency offset is only considered.

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