Kullback-Leibler divergence region in MIMO radar detection problems

One of the most relevant performance measures in detection problems is the pair of Kullback-Leibler divergences between the densities of the observations under the two hypotheses. In this work, the problem of space-time code design for a multiple-input, multiple-output detection systems is addressed, and the set of achievable divergence pairs is characterized when different constraints are imposed on the code matrix. Knowledge of this region permits to achieve the desired performance level in the detection system (e.g., the time for taking a decision in a sequential probability ratio test or the probability of miss in a likelihood ratio test) and, if a cost function is assigned, to carry out optimal waveform design.