Introduction.- Signal Processing at Detection Theory.- MIMO Vector Space Signal Detection.- Successive Interference Cancellation Based MIMO Detection.- Lattice Reduction Based MIMO Detection.- MIMO Iterative Receivers.- Bit-Wise MIMO-BICM-ID using Lattice Reduction.- Randomized Sampling-based MIMO Iterative Receivers.- Iterative Channel Estimation and Detection.- Multiuser and Multicell MIMO The Use of Lattice Reduction.