Digital Beamforming Correction Algorithm Under the Matching Error of Space-Frequency Steering Vector

In real application, errors exist in environment, signal source and array sensors. The mismatch between the assuming steering vector of the desired signal and the real one will make the array beamformer to suppress the desired signal as interference. For the problem of beamforming performance degradation due to the signal matching errors, a new parallel digital multi-beam forming algorithm under the Space-frequency wide-band constraint is proposed. Taking the uniform circular array (UCA) as an example, the solution to the multi-beam forming algorithm is deduced by paralleling the single-star constraint of uncertainty set of the space-frequency vector. At the same time, solving process of the optimal weight is given. The algorithm effectively improves the output signal-to-noise ratio (SNR) of the digital multi-beam former. The algorithm is verified by Computer simulations, demonstrating its robustness.