Joint power and beam allocation of opportunistic array radar for multiple target tracking in clutter

This paper proposes a joint power and beam allocation scheme based on chance-constraint programming (CCP) for multiple target tracking of opportunistic array radar (OAR) in cluttered domains. The objective of the scheme is to cope with complex environments, unknown target information, and insufficient resource of radar system installed in mobile platforms operating over prolonged time periods. In this scheme, the total power of transmitting beams used in estimation process is minimized by effective allocation over the targets so that the desired tracking performance is attained. Allowing for the randomness of target RCS, the CCP used for balancing tracking performance and power resource is introduced conditioned on a specified confidence level. To track the targets more efficiently, the beams are allocated to the targets with large prior Cramér-Rao lower bound (CRLB). Then, in conjunction with an information reduction factor (IRF), the tracking Bayesian CRLB (BCRLB) of the illuminated targets can be considered as a measurement criteria for resource allocation in clutter. Through Conditional Value at Risk (CVaR), the CCP is relaxed to a convex problem solved by Lagrange multipliers method with Kuhn-Tucker (KT). The simulation results verify the validity and practicability of the resource allocation scheme.