Minimum redundancy multicarrier and single-carrier systems based on Hartley transforms

Four efficient block-based transceivers exploiting the displacement structure approach are proposed. In terms of computational burden, the resulting systems are asymptotically as simple as orthogonal frequency-division multiplex (OFDM) and single-carrier with frequency-domain (SC-FD) equalization transceivers. Even though the effective channel impulse response must be symmetric, the novel schemes are appealing since they only use discrete Hartley transforms (DHTs) and diagonal matrices in their structures, which results in numerically efficient algorithms for the equalization process. The key feature of the proposed transceivers is their higher throughput, since they require only half the number of symbols of redundancy in comparison to the standard OFDM and SC-FD systems.