Results on a class of biorthogonal 2-D LP FIR filter banks

In this paper, we elaborate on the properties of a class of biorthogonal 2D linear-phase FIR filter banks that was defined previously (J. Davila, Proc. of 3rd ICICS, Singapore, Oct. 2001). We prove that filter banks in this class satisfy the perfect reconstruction conditions that have been derived elsewhere. We also derive a new and interesting property of the filter banks that belong to this class. This property results from combining two different ways of determining the number of antisymmetric analysis filters that are allowed in a filter bank.