Jk. Zhang et al., Perfect reconstruction condition for multidimensional and multirate delay chain system and its matrix method, PROG NAT SC, 9(11), 1999, pp. 863-870
An open problem about the perfect reconstruction of modified multidimension
al and multirate delay chain system is solved. All possible delay matrices
satisfying perfect reconstruction are designed for the given sampling matri
x in two-dimension case, and a method is also proposed for solving the syst
em of linear equations in a class of integer rings.