  The goal of this chapter is to review the recent work and advances in the
area of space-time beamforming algorithms and their application to radar
systems. These systems include phased-array \cite{melvin} and multi-input
multi-output (MIMO) radar systems \cite{haimo_08}, mono-static and bi-static
radar systems and other configurations \cite{melvin}. Furthermore, this chapter
also describes in detail some of the most successful space-time beamforming
algorithms that exploit low-rank and sparsity properties as well as the use of
prior-knowledge to improve the performance of STAP algorithms in radar systems.
