2) Consider the continuous-time LTI system with impulse response h(t)=e-$t u(t-1) Calculate the output of this system to the input 0

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2) Consider the continuous-time LTI system with impulse response
h(t)=e-$t u(t-1)
Calculate the output of this system to the input
0<t<10;
otherwise.
x(t) = 3
У(()— х(t) * h(t)— ?
3) Consider a discrete-time LTI system with impulse response
h[n]= 1/5 [d[n] + ô [n-1] + ô [n-2] + ô [n-3] + ô [n-4]]
Compute the output signal y(n) of this system when the input is
x(n)=(1/2) n u[n]
4) Discuss if the above LTI systemsin questions 2 and 3 are
- with memory
-- causal
-- stable
Transcribed Image Text:2) Consider the continuous-time LTI system with impulse response h(t)=e-$t u(t-1) Calculate the output of this system to the input 0<t<10; otherwise. x(t) = 3 У(()— х(t) * h(t)— ? 3) Consider a discrete-time LTI system with impulse response h[n]= 1/5 [d[n] + ô [n-1] + ô [n-2] + ô [n-3] + ô [n-4]] Compute the output signal y(n) of this system when the input is x(n)=(1/2) n u[n] 4) Discuss if the above LTI systemsin questions 2 and 3 are - with memory -- causal -- stable
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