Asymptotically optimum estimation of signal waveform in the presence of uncertainties about the steering vector

The problem of signal waveform estimation using an antenna array in case of uncertainties about the steering vector is considered. New asymptotically (in sample size) optimum estimators are derived. In contrast to the known optimal solutions, the employed method of synthesis yields non-iterative direct-form estimators. Simulation results are provided to evaluate the performance of the synthesized estimators. It is shown that the proposed asymptotic estimators perform as well as the iterative optimal estimators and they outperform the MVDR estimator in a wide range of input signal-to-noise and uncertainty ratios.

► New signal waveform estimators are derived in case of uncertainties about the antenna steering vector.
► The estimators are direct and asymptotically optimal.
► The proposed asymptotic estimators perform as well as the iterative optimal estimators.