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This project presents a statistical model of a jointly
optimized beamformer-assisted acoustic echo canceler (AEC). The constrained joint optimization problem can be formulated so that it becomes equivalent to the linearly-constrained minimum variance problem. The new formulation leads to analytical models that can be used to predict the
transient performance of adaptive wideband beamformers. A stochastic model is derived for the transient and steady-state behaviors of the residual echo power. The convergence analysis provides a stability bound for the adaptation step-size. Monte
Carlo simulations can be performed to illustrate the accuracy of the model, which can then used to provide design guidelines. ...