Per-tone equalization for single carrier block transmission with cyclic prefix

This paper proposes per-tone equalization methods for single carrier block transmission with cyclic prefix (SC-CP). Minimum mean-square-error (MMSE) based optimum weights of the per-tone equalizers are derived for SISO (single-input single-output), SIMO (single-input multiple-output), and MIMO (multiple-input multiple-output) SC-CP systems. The proposed equalizers have multiple taps for each tone, therefore, they can achieve good performance even when the length of the guard interval (GI) is shorter than channel order. Moreover, by employing sliding discrete Fourier transform (DFT), the proposed equalizers can be efficiently implemented. Computer simulation results show that the proposed equalizers can significantly improve the bit error rate (BER) performance of the SISO, SIMO, and MIMO SC-CP systems with the insufficient GI.