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Which of the following is true?(1) A real-time LTI system is causal.(2) A real-time LTI system is linear.(3) A real-time LTI system is additive.(4) A real-time LTI system is time variant.(5) A real-time LTI system is memoryless.Selected Answer: [None Given]Answers: (1), (3) and (4)(1), (2) and (4) (1), (2) and (3)(2) and (4)(1), (2), (4) and (5)All of them

Question

Which of the following is true?(1) A real-time LTI system is causal.(2) A real-time LTI system is linear.(3) A real-time LTI system is additive.(4) A real-time LTI system is time variant.(5) A real-time LTI system is memoryless.Selected Answer: [None Given]Answers: (1), (3) and (4)(1), (2) and (4) (1), (2) and (3)(2) and (4)(1), (2), (4) and (5)All of them

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Solution

The correct answer is (1), (2) and (3).

Explanation:

(1) A real-time Linear Time-Invariant (LTI) system is causal. This is because in a real-time system, the output at any time depends only on the present and past inputs, not on future inputs. This is the definition of a causal system.

(2) A real-time LTI system is linear. This is inherent in the name - Linear Time-Invariant. Linearity means that the response of the system to a sum of inputs is equal to the sum of the responses to each input individually.

(3) A real-time LTI system is additive. This is a property of linear systems. If you have two inputs to a linear system, the output for the sum of those inputs is the sum of the outputs

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