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In this paper we tackle the joint source symbol detection and multi-channel acquisition problem in the context of wireless digital flat-fading links with space diversity. We propose a simple parametric statistical channel model which decouples the time dynamics of the channel vector in amplitude and direction. We implement the corresponding maximum a posterior (MAP) joint estimator for the amplitude and direction of the channel vector and the source information symbols. We derive a computationally attractive iterative scheme to solve an approximation of the optimization problem associated with the MAP estimator. This scheme is based on an interior point method (IPM). Preliminary computer simulations assessing the good performance of our proposed solutions are included.