Pilot-aided designs of memoryless block equalizers with minimum redundancy

Multicarrier and single-carrier block-based transceivers with minimum redundancy have proved to be an alternative to classical orthogonal frequency-division multiplex (OFDM) and single-carrier with frequency-domain equalization (SC-FD) systems. In general, these minimum-redundancy transceivers have superior throughput performance than OFDM and SC-FD systems, requiring the same asymptotic complexity, viz. O(M log₂ M), for M data symbols. However, the previous proposals of such transceivers rely on the channel-state information (CSI) assumption. In addition, they also assume that the equalizer was previously designed, focusing on the equalization problem only. The aim of this work is to present some theoretical results related to the design of the equalizers that employ minimum redundancy, without assuming CSI. The key result of this paper is to show that it is possible to design those equalizers based on pilot information and using fast-converging iterative algorithms that require O(M log₂ M) operations per iteration.