A new design for physical downlink control channel (PDCCH) is proposed for the next generation 5G new radio systems. A UE receives the configuration of a default control resource set (CORESET) in MIB/SIB from its serving base station. The default CORESET contains both common search space and UE-specific search space for candidate PDCCH transmission. A PDCCH in a default CORESET is mapped to physical resource in a distributed or localized manner. Specifically, various REG-to-CCE mapping rules are proposed to improve frequency diversity gain, or frequency selectivity gain, or to reduce latency of PDCCH processing. Further, to facilitate analog beamforming in mmWave systems, the default CORESET is transmitted in a synchronization signal (SS) block associated with a corresponding analog beam direction.