A subspace fitting algorithm of acoustic vector sensor array and corresponding matrix pre-filter design

In order to ease the response distortion of the pass-band of the matrix pre-filter, a simple approach for designing matrix spatial filter is proposed, which complies with the criterion of minimizing the sum of the k maximal distortion norm (k is the number of the constraint points) within the pass-band, while constraining the filter response within the stop-band. The response distortion could be decreased by complying with the new criterion. In regard to the costly amount of calculation of the high-resolution methods, an algorithm based on matrix spatial pre-filtering and subspace fitting using acoustic vector array (MF-VSSF) is proposed. Through combined processing by using the signal subspace of the pressure and particle velocity the pre-filtering matrix and signal subspace of the proposed algorithm is decreased to M-dimensional (M is the number of array-elements), which reduces the time-consumption of the matrix pre-filter design and DOA searching. Simulation results show that, the proposed method offers not only a clear advantage to lower quantity of calculation, but also an acceptable estimation and resolution performance, moreover, the designed pre-filter can efficiently attenuate the interference within the stop-band and improve the estimation and resolution performance of DOA estimators.