Time-Domain Broadband Spatial Matrix Filter Design

An approach to design time-domain broadband matrix spatial filter (TDBMSF) via optimal matrix spatial filter design and FIR filter design was presented. Firstly, the working frequency band is decomposed into a number of narrowband frequency bins, and the weighting matrixes of each matrix spatial filter are deduced by optimal narrowband matrix spatial filter designing method to insure that the spatial power response invariant over the Azimuth angles. Secondly, a bank of FIR Alters corresponding to the elements with the same index of weighting matrices are designed to provide the frequency responses that approximate the associated weights of weighting matrix. Thirdly, the FIR filters associated with each matrix filter output are put together to construct N spatial broadband FIR filter (SBF) modules corresponding to the outputs of the TDBMSF. Both of optimal matrix spatial filter and FIR filters design are formulated as the second-order cone programming. Which can be easily solved using well-developed interior-point method. Results of computer simulation and lake-experiments demonstrate satisfied performance verified the presented approach.