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Exploiting the benefits of multiple antenna technologies is strongly conditioned based on the knowledge of the wireless channel that affects the transmissions. To this end, various channel estimation algorithms have been proposed in the literature for Multiple-Input Multiple-Output (MIMO) channels. These algorithms are typically studied from a perspective that does not consider constraints on the energy consumption of their implementation. This paper proposes a methodology for evaluating the total energy consumption required for transmitting, receiving, and processing a preamble signal in order to produce a channel estimate in multiple antenna systems. The methodology is used for finding the training signals that minimize the energy consumption for attaining given mean square estimation error.
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