Linear Approximation of the Exponential Map with Application to Simplified Detection in Noncoherent MIMO Systems

We provide a quadratic approximation of the Generalized Likelihood Ratio Test (GLRT) in order to decode efficiently a certain class of unitary space-time codes for the noncoherent MIMO block fading channel. This quadratic approximation is derived from the Taylor series expansion of the GLRT truncated at the second order. A closed form expression of the approximate GLRT receiver in the MIMO case is derived and its performance loss is assessed through some preliminary simulation results.

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