Q2 By using convolution integral, find the overall impulse response H(t) for two cascaded systems with the system impulse responses, h₁ (t) and h₂ (t) expressed as: h₂ (t) = 7e-2u(t) h₂(t) = 3e-stu(t) State the commutative property of convolution. Then, show that the answer obtained in Q2 (a) satisfies the commutative property of convolution.

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By using convolution integral, find the overall impulse response H(t) for two cascaded
systems with the system impulse responses, h, (t) and h₂ (t) expressed as:
h₂ (t) = 7e-2u(t)
h₂(t) = 3e-stu(t)
State the commutative property of convolution. Then, show that the answer obtained
in Q2 (a) satisfies the commutative property of convolution.
Transcribed Image Text:By using convolution integral, find the overall impulse response H(t) for two cascaded systems with the system impulse responses, h, (t) and h₂ (t) expressed as: h₂ (t) = 7e-2u(t) h₂(t) = 3e-stu(t) State the commutative property of convolution. Then, show that the answer obtained in Q2 (a) satisfies the commutative property of convolution.
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