Analysis of a linearly constrained least squares algorithm for adaptive beamforming

The problem of linearly constrained least squares has many applications in signal processing. In this paper, we present a perturbation analysis of a linearly constrained least squares algorithm for adaptive beamforming. The perturbation bounds for the solution as well as for the latest residual element are derived. We also propose an error estimation scheme for the residual element, which can be incorporated into a systolic array implementation of the algorithm.