System

Initial Rest Condition for LCCDE causal LTI systems

Initial Rest Condition for LCCDE causal LTI systems
  1. What is the condition for causal LTI system?
  2. Do LTI systems have initial conditions?
  3. What is the necessary condition for an LTI system to be stable?
  4. Which of the following is condition of causality for an DT LTI discrete time system?

What is the condition for causal LTI system?

An LTI system is called causal if the output signal value at any time t depends only on input signal values for times less than t. It is easy to see from the convolution integral that if h(t) = 0 for t < 0, then the system is causal.

Do LTI systems have initial conditions?

A causal LTI system has zero initial conditions and impulse response ℎ(𝑡). Its input (𝑡) and output (𝑡) are related through the linear constant-coefficient differential equation. d 2 y ( t ) d t 2 + α d y ( t ) d t + α 2 y ( t ) = x ( t ) .

What is the necessary condition for an LTI system to be stable?

Time Domain Condition for the Stability of LTI Discrete-Time Systems. For a system, when the bounded input sequence always produces a bounded output sequence, then the system is said to be stable system.

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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