This article proposes a design method for parameterized differential beamformer to address the problem of white noise amplification in differential microphone arrays. Through theoretical deduction, it has been proven that the delay summation beamformer can maximize white noise gain, while the hyper directional beamformer can maximize directional gain. Using the unitary diagonalization method to process the pseudo correlation matrix between the steering vector and white noise gain, obtaining orthogonal eigenvectors, and designing the parameters of the beamformer based on this. Through simulation experiments, the performance of parameterized differential beamformer was analyzed under different parameter settings. The experimental results show that by adjusting the parameters, this method can achieve a flexible balance and adjustment between white noise gain and directional gain.