  For classical estimation with an underlying linear model the best linear
unbiased estimator (BLUE) is usually utilized for estimating the deterministic
but unknown parameter vector. In the case of real valued parameter vectors but
complex valued measurement matrices and noise vectors, the BLUE results in
complex valued estimates, introducing a systematic error. In recent years
widely linear estimators have been investigated for complex estimation. In this
work a novel widely linear classical estimator is derived which incorporates
the knowledge that the parameter vector is real valued. The proposed estimator
is unbiased in the classical sense and it outperforms the BLUE and the best
widely linear unbiased estimator (BWLUE) in terms of the variances of the
vector estimator's elements.
