Design of deterministic beamformers for arbitrarily configured arrays

Design of deterministic (fixed) beamformers for arbitrarily configured, narrow-band and broad-band arrays is addressed in this paper. A least squares procedure is described which is based on the formulation and solution of a set of eigenvector constraint equations. The constraints are employed to effectively specify array/beamformer response for selected pass-band and stop-band regions of source location and frequency parameters. For broad-band beamformer design, the design procedure results in improved response control compared to narrow-band decomposition design approaches. Additionally, a procedure for evaluating the plausibility of a response specification is described.