Abstract — Most space-time coding schemes can be classified either as non-coherent or coherent. In this paper we prove that optimal non-coherent decoding can always be decomposed into a channel estimation step followed by coherent decoding step. Surprisingly the required estimators do not in general minimise the mean squared error between the estimated and actual channel. Summary Since the appearance of seminal works on space-time information theory and coding, two main philosophies have emerged for the design of codes and associated decoding algorithms. The first strategy takes the view that fundamentally, the parameters of the space-time channel are unknown and information theoretic principles would direct us to design codes directl
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