Regarding alternative 2, the association between control channel and data channel on different numerologies could be implicit or explicit. For instance, in implicit association case, a control channel can be used to schedule data transmission on any numerology larger/smaller and equal to the numerology of control channel. By this way, once UE is configured with a control channel, the UE will establish the association by itself. For another example, in explicit association, when network provides configuration of a control channel, the network can associate the control channel to one or multiple numerologies. One possible way is to include numerology related information (e.g. numerology indexes) into control channel configuration. Other possible ways could be to include the control channel information (e.g. control channel configuration index) in numerology related configuration, or to map one or multiple numerologies of data channel on different cells.
Then the cross carrier scheduling method in LTE can be reused for this purpose. In carrier aggregation, a control channel can be used to schedule one or multiple cells. Based on the design, the association between control channel and numerology of data channel can be established. Moreover, a UE can be configured with multiple control channels. Different control channels may use different alternatives (e.g. default control channel uses alternative 3 and additional control channel(s) use alternative 2).
For alternative 3, the control channel could schedule data transmission on any numerology (UE is configured with or UE is capable to use). The scheduling control message transmitted on a control channel applied with alternative 3 may include information related to numerology of a data transmission.