Formulation of optimum beam space processing for directional transmission phased array systems

Standard beam space processing algorithms, such as minimum variance distortionless response, normally assume that the transmitter is omni-directional, and hence are mismatched when the transmitter is directional. This paper derives a new formula for the case of directional transmission. An example shows that the new formula achieves significantly better performance than the standard beam space formula when the transmission is via directional beams. Also, the idea of adding virtual beams to reduce the response to out of sector signals is proposed. Finally, the applicability of the algorithm for non-stationary scatterers is examined.