Decomposition of 2-D linear systems into 1-D systems in the frequency domain

摘要

A method is presented for the decomposition of the frequency domain of 2-D linear systems into two equivalent 1-D systems having dynamics in different directions and connected by a feedback system. It is shown that under some assumptions the decomposition problem can be reduced to finding a realizable solution to the matrix polynomial equation X(z/sub 1/)P(z/sub 2/)+Q(z/sub 1/)Y(z/sub 2/)=D(z/sub 1/, z/sub 2/). A procedure for finding a realizable solution X(z/sub 1/), Y(z/sub 2/) to the equation is given.