Differential Beamforming

Another fundamental way to perform beamforming is by considering pressure differences among microphones instead of direct pressure as in conventional beamforming. This leads to the co-called differential beamformingBeamformingdifferential with at least two great advantages: frequency-invariant beampatterns and high directional gains. Although there are different strategies to derive differential beamformers, none of the developed and available approaches do it in an elegant and systematic way. This is what we attempt to do in this chapter by starting with the simplest case: first-order linear difference equations.