System

Determining Causality From Discrete Impulse Response

Determining Causality From Discrete Impulse Response
  1. How do you determine causality of an impulse response?
  2. How do you know if a discrete-time system is causal?
  3. Which condition determines the causality of the LTI system of its impulse response?
  4. Which of the following is condition of causality for an DT LTI discrete-time system?

How do you determine causality of an impulse response?

Causality is one such property, that states, “if the output of the system at any time depends only on the past and present values of the input, the system is said to be causal.” If the impulse response is known, the system is said to be causal, if h(t) = 0 for t < 0.

How do you know if a discrete-time system is causal?

A discrete-time system is causal if: Whenever the input x[n] = 0, and there are no initial conditions, the output is y[n] = 0. The output y[n] does not depend on future inputs. where x[n] is the input and y[n] is the output is nonlinear but time invariant.

Which condition determines the causality of the LTI system of its impulse response?

A continuous time LTI system is called causal system if its impulse response h(t) is zero t<0. For pure time shift with unit impulse response h(t)=δ(t-t0) is a causal continuous time LTI system for t≥0. In this case time shift is known as a delay.

Which of the following is condition of causality for an DT LTI discrete-time system?

Which of the following system is causal? Explanation: An LTI system is said to be causal only when its output at any time depends on the previous or present value of the input. A causal system cannot depend on the future values of the input.

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