5.31. Prove the time convolution theorem (5.58), that is,
X1( t ) * x z( t ) x1( w ) X z( w )
By definitions (2.6) and ( 5.31), we have
By the time-shifting property (5.50)
5.31. Prove the time convolution theorem (5.58), that is,
X1( t ) * x z( t ) x1( w ) X z( w )
By definitions (2.6) and ( 5.31), we have
By the time-shifting property (5.50)