A method for performing a fast multiple-subcarrier-joint-modulation (MSJM) precoding. The method comprises grouping input information bits into bit blocks; converting the bit blocks into bit vectors; mapping a first group of bits of each bit vector to a real dimension of symbols in a symbol vector; mapping a second group of bits of each bit vector to an imaginary dimension of symbols in the symbol vector, wherein the mapping of the real dimension and the mapping of imaginary dimension are performed simultaneously; and modulating symbol vectors into data subcarriers.