A DT LTI system has impulse response

Question

Question

$$ h[n]=\left\{\begin{array}{cc} 1 & n \in\{-1,0,1\} \\ 0 & \text { otherwise } \end{array}\right. $$

(a) Is this system BIBO stable? Prove your answer.

(b) Is this system causal? Prove your answer.

(c) Is this system memoryless? Prove your answer.

(d) What would the response of this system to the signal

$$ x[n]= \begin{cases}1 & n \in\{0,1\} \\ 0 & \text { otherwise }\end{cases} $$

engineering Electrical-Engineering

Answer 1

Answer #1

Answer 2

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