A general method for designing multi-dimensional(MD) all phase digital filter(APDF) is presented in this paper.All such filters with an arbitrary parallelepiped-shaped passband can be designed based on an appropriate one-dimensional(1D) prototype APDF through performing MD decimation transformation.The proposed method can preserve the Nyquist constraint and zero-phase properties from the 1D prototype filter.A novel 1D APDF with a new optimized window is designed and used as 1D prototype filter with superior...