A method and apparatus provide synchronization signals and random access for flexible radio communication. Downlink orthogonal frequency division multiplexing signals including a synchronization signal can be received. The synchronization signal can be transmitted with a first subcarrier spacing and a first bandwidth. Cell detection can be performed using the received downlink orthogonal frequency division multiplexing signals to detect at least one cell. A cell of the at least one detected cell can be selected. Information of at least one subcarrier spacing associated with the selected cell can be received. The at least one subcarrier spacing can be used for communication. A second subcarrier spacing can be selected from the at least one subcarrier spacing. Fine downlink timing information can be obtained from an extended synchronization signal having a second bandwidth when the selected second subcarrier spacing is larger than the first subcarrier spacing. Transmitting can be performed using the fine downlink timing information.