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In this paper, the authors consider receiver design for space time block coded MIMO OFDM transmission over frequency selective block fading channels. The receiver employs the Expectation Maximization (EM) algorithm for joint channel and data recovery. It makes a collective use of the data and channel constraints that characterize the communication problem. The data constraints include pilots, the cyclic prefix, the finite alphabet constraint, space-time block coding, and the outer code. The channel constraints include the finite delay spread and frequency and time correlation as well as transmit and receive correlation. The channel estimation part of the algorithm (Or the Maximization step) is obtained using a Forward-Backward (FB) Kalman filter.
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