Design of low-complexity wideband beamformers with temporal sparsity

In this paper, a method for the design of a wideband beamformer with temporal sparsity is proposed. The main advantage of the proposed design is its low implementation complexity as the number of non-zero valued coefficients is reduced significantly. It is formulated as an l₁ minimisation problem with an added frequency invariant (FI) constraint if an FI response is desired. As a result, sparsity in the tapped delay-line (TDL) coefficients associated with each sensor is introduced and at the same time the designed response still gives an acceptable performance in terms of matching a desired response.