High-Rate Full-Diversity Space–Time–Frequency Codes for Broadband MIMO Block-Fading Channels

A systematic design of high-rate full-diversity space-time-frequency (STF) codes is proposed for multiple-input multiple-output frequency-selective block-fading channels. It is shown that the proposed STF codes can achieve rate M_t and full-diversity M_tM_rM_bL, i.e., the product of the number of transmit antennas M_t, receive antennas M_r, fading blocks M_b, and channel taps L. The proposed STF codes are constructed from a layered algebraic design, where each layer of algebraic coded symbols are parsed into different transmit antennas, orthogonal frequency-division multiplexing tones, and fading blocks without rate loss. Simulation results show that the proposed STF codes achieve higher diversity gain in block-fading channels than some typical space-frequency codes