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

Vincent Savaux (1) , Yves Louët (1) , Moïse Djoko-Kouam (2) , Alexandre Skrzypczak (1)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 ECAM - ECAM Rennes - Louis de Broglie

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.

Keywords: channel estimation; least mean squares methods; optimisation; covariance matrices; OFDM modulation; mean square error methods

Domains: Engineering Sciences [physics]; Automatic

Vincent Savaux, Yves Louët, Moïse Djoko-Kouam, Alexandre Skrzypczak. Minimum mean-square-error expression of LMMSE channel estimation in SISO OFDM systems. Electronics Letters, 2013, 49 (18), pp.1152-1154. ⟨10.1049/el.2013.1993⟩. ⟨hal-00858869⟩