Consider the following block diagram of an interconnected system and assume the unit impulse responses of...

 

Transcribed Image Text:

Consider the following block diagram of an interconnected system and assume the unit impulse responses of the individual subsystems are given by: hi(t)=eu(t), h(t) = e'u(t), h3(t) = (1 - e)u(t), h4(t) = 38(t-1) hi(t) halt) h319) $ [hu] Using the time-shift property of convolution and the following formulas: edit-edzt elstu(t) *e ztu(t) = -u(t), for + A d-d editu(t) * etu(t) = tetu(t) find the unit impulse response of the equivalent system, h(t), such that y(t) =h(t)*x(t). 1 Consider the following block diagram of an interconnected system and assume the unit impulse responses of the individual subsystems are given by: hi(t)=eu(t), h(t) = e'u(t), h3(t) = (1 - e)u(t), h4(t) = 38(t-1) hi(t) halt) h319) $ [hu] Using the time-shift property of convolution and the following formulas: edit-edzt elstu(t) *e ztu(t) = -u(t), for + A d-d editu(t) * etu(t) = tetu(t) find the unit impulse response of the equivalent system, h(t), such that y(t) =h(t)*x(t). 1