Convergence analysis of the iterative adaptive Kronecker receiver for MIMO radar applications

We analyse an iterative adaptive multiple-input-multiple-output (MIMO) radar receiver in the situation where a K L-variate adaptive transmit-receive beamformer is structured as the Kronecker product of a K-variate (transmit) and an L-variate (receive) beamformer. We present results for the special case of two clutter propagation modes separated in elevation angle, where the direction-of-departure (DoD) of one mode and the direction-of-arrival (DoA) of the other mode coincide with that of a target. We introduce the analytical condition of convergence and signal-to-interference-plus-noise ratio (SINR) loss factor for a given training sample volume under a number of assumptions for a sample-matrix inversion (SMI)-based iterative algorithm, and demonstrate that the diagonally loaded SMI algorithm can provide significant improvement in the convergence rate of the iterative "Kronecker MIMO receiver".