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Output of system with system function H1 and H2

Specify output of system with system function H1 and H2 when connected in cascade and in parallel?

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When system having input x(t) is linked in cascade with the system H1 and H2 the output of the system comes out to be:

Y (t) =H2 {H1 {x (t)}}

When system is linked in parallel output of the system is given by

Y (t) =H1 x1 (t) +H2 x2 (t). 

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