Open AccessMinimum mean‐square‐error expression of LMMSE channel estimation in SISO OFDM systems
Author(s) -
Savaux V.,
Louët Y.,
DjokoKouam M.,
Skrzypczak A.
Publication year - 2013
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2013.1993
Subject(s) - minimum mean square error , invertible matrix , expression (computer science) , orthogonal frequency division multiplexing , mathematics , mean squared error , covariance matrix , closed form expression , channel (broadcasting) , control theory (sociology) , algorithm , matrix (chemical analysis) , computer science , statistics , telecommunications , estimator , mathematical analysis , control (management) , artificial intelligence , programming language , materials science , pure mathematics , composite material
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.