Embodiments of the present disclosure relate to the communication processes in a wireless communication system based on short TTIs. According to one embodiment of the present disclosure, there provide a method for communication by a base station. The method comprise: receiving, from a user equipment, an uplink demodulation reference signal, DMRS, in an uplink transmission time interval, TTI, of an uplink subframe, which supports two or more uplink TTIs. At least one uplink TTI supported by the uplink subframe is configured to only transmit uplink control information and/or uplink data without any uplink DMRS. In the other aspects of the present disclosure, there also provides methods for communication by a user equipment and corresponding apparatuses.