Problem 1 (5 pts for each property. 40 pts total). For the DT system in textbook problem 2.28, page 144, determine whether the system is causal and stable. You must explain your reasoning. You only need to consider (a) to (d). (2 properties for each system, one for causality and one for stability, 8 properties in total). Ay = AxAh. 2.28. The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. (a) h[n] = ("u[n] (b) h[n] (0.8)"u[n + 2] (c) h[n] = (¹)"u[n] (d) h[n] = (5)"u[3 - n]
Problem 1 (5 pts for each property. 40 pts total). For the DT system in textbook problem 2.28, page 144, determine whether the system is causal and stable. You must explain your reasoning. You only need to consider (a) to (d). (2 properties for each system, one for causality and one for stability, 8 properties in total). Ay = AxAh. 2.28. The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. (a) h[n] = ("u[n] (b) h[n] (0.8)"u[n + 2] (c) h[n] = (¹)"u[n] (d) h[n] = (5)"u[3 - n]
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Transcribed Image Text:Problem 1 (5 pts for each property. 40 pts total). For the DT system in textbook problem 2.28,
page 144, determine whether the system is causal and stable. You must explain your reasoning.
You only need to consider (a) to (d). (2 properties for each system, one for causality and one for
stability, 8 properties in total).
![Ay = AxAh.
2.28. The following are the impulse responses of discrete-time LTI systems. Determine
whether each system is causal and/or stable. Justify your answers.
(a) h[n] = ("u[n]
(b) h[n]
(0.8)"u[n + 2]
(c) h[n] = (¹)"u[n]
(d) h[n] = (5)"u[3 - n]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbfda7f7a-7d5e-4841-ae02-f254b29fedeb%2F7e890160-5ede-4adf-8c32-f8b9526e309b%2Fei9nsj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ay = AxAh.
2.28. The following are the impulse responses of discrete-time LTI systems. Determine
whether each system is causal and/or stable. Justify your answers.
(a) h[n] = ("u[n]
(b) h[n]
(0.8)"u[n + 2]
(c) h[n] = (¹)"u[n]
(d) h[n] = (5)"u[3 - n]
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