A phase-only array transmit beam accurate control method under color noise environment

Abstract

This invention discloses a method for precise control of the phase-only array transmit beam in a colored noise environment, comprising: modeling the array gain maximization, main lobe ripple suppression, and side lobe level control into a unified Rayleigh quotient optimization problem with non-convex constraints; achieving spatial correlation adaptation to the colored noise environment by explicitly embedding the noise covariance matrix into the objective function; converting the main and side lobe constraints into penalty terms of the objective function through an augmented Lagrangian function, and mapping the remaining phase-only constraints to a complex circular manifold space, thereby transforming the original non-convex optimization problem into a solvable manifold optimization problem; designing an augmented Lagrangian solver based on the Riemannian manifold framework, iteratively updating the weight vector using manifold gradient descent, and finally iteratively converging to the optimal phase-only weight vector that satisfies the non-convex constraints.

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