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

Best Widely Linear Unbiased Estimator for Real Valued Parameter Vectors