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A bilinear system represents a generalization of the class of linear systems (See below). Although they operate with 1-D inputs and outputs, they are closely

A bilinear system represents a generalization of the class of linear systems (See below). Although they operate with 1-D inputs and outputs, they are closely related to 2-D systems. The output of a bilinear system can be expressed as y(n, n) : = y(n) = x(m 1 )x(m 2 )h(n - m 1 , n - m 2 ) m 1 m 2 If a bilinear system is characterized by the 2-D DSFT of h(n 1 ,n 2 ), denoted by H ( e j 1 , e j 2 ) , find the response of the system to the input x ( n ) = a e j 1 n + b e j 2 n

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