Minimum mean-square-error expression of LMMSE channel estimation in SISO OFDM systems

Abstract : An expression of the minimum mean square error (MMSE) of the linear MMSE channel estimation is given in the case of a non-invertible channel covariance matrix, as in single-input single-output (SISO) OFDM system. A matrix expression, already proposed for a multi-input multi-output OFDM system in a previous article, is not valid in SISO. A new proof is then proposed, by deriving a scalar expression of the MMSE, which leads to solve an optimisation problem. Furthermore, we show that the proposed solution is the global minimum. Simulations validate the proposed development.
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Vincent Savaux, Yves Louët, Moïse Djoko-Kouam, Alexandre Skrzypczak. Minimum mean-square-error expression of LMMSE channel estimation in SISO OFDM systems. Electronics Letters, IET, 2013, 49 (18), pp.1152-1154. ⟨10.1049/el.2013.1993⟩. ⟨hal-00858869⟩

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