Techniques for supporting data transmission based on a low-complexity transmission scheme are described. In one design, a first user equipment (UE) generates a first transmission for a single subcarrier assigned to the first UE. The first UE sends the first transmission on the single subcarrier concurrently with a SC-FDMA transmission sent on multiple subcarriers by a second UE. In one design, the first UE generates a continuous sinusoidal signal at a frequency corresponding to the single subcarrier. The first UE modulates the continuous sinusoidal signal with data symbols and reference symbols. In one design, the first transmission includes a cyclic prefix followed by a useful portion in each symbol period and has phase discontinuity at symbol boundary. A base station processes a received signal to recover the first transmission sent by the first UE and the SC-FDMA transmission sent by the second UE.