Lattice-Reduction-Aided and Integer-Forcing Equalization

摘要

In this monograph, a tutorial review of lattice-reduction-aided (LRA) and integer-forcing (IF) equalization approaches in MIMO communications is given. Both methods have in common that integer linear combinations are decoded; the remaining integer interference is resolved subsequently. The aim is to enlighten similarities and differences of both approaches. The various criteria for selecting the integer linear combinations available in the literature are summarized in a unified way. Thereby, we clearly distinguish between the criteria according to which the non-integer equalization part is optimized and those, which are inherently considered in the applied lattice algorithms, i.e., constraints on the integer equalization part. The demands on the signal constellations and coding schemes are discussed in detail. We treat LRA/IF approaches for receiver-side linear equalization and decision-feedback equalization, as well as transmitter-side linear preequalization and precoding.