A method and apparatus for implementing reference signal transmissions in a wireless communication system. In one embodiment, the method includes the cell, transmission point (TP), or transmission and reception point (TRP) broadcasting a first RS periodically for measurement, wherein the first RS is transmitted at multiple occasions (or timings) in each period on different beams. The method also includes the cell, TP, or TRP transmitting a second RS to a UE for PDCCH demodulation, wherein the second RS is transmitted on multiple beams in a beam set of the UE in a subframe (or symbol) in which the PDCCH is transmitted.