I. Introduction
Visible light communications (VLC) is an emerging optical wireless communication scheme supporting short-range and high-speed data transmission [1]–[4]. It has been viewed as an important complementary technique of traditional cellular communications. In VLC, the light emitting diode (LED) bulbs are used to support communication service and illumination service simultaneously. From the communication perspective, the VLC systems should be spectrally efficient. From the illumination perspective, the VLC systems should support dimming control. Hence, it is important to design spectral-efficient and dimmable transmission schemes for VLC.