WALSH-FUNCTION ANALYSIS OF 2-D GENERALIZED CONTINUOUS SYSTEMS

We demonstrate the importance of the generalized or implicit 2-D continuous systems by showing their use in the solution of partial differential equations in two variables. A technique is presented for solving these systems in terms of Walsh functions. The method replaces the solution of a two-variable partial differential equation with the solution of a linear algebraic generalized 2-D Sylvester equation. An efficient technique for the recursive solution of the latter equation is offered. All the results apply also in the usual Roesser 2-D state-space case. © 1990 IEEE