Howtosignalprocessing
- What is impulse response of LTI system?
- What are the conditions for a system to be LTI system?
- What is the impulse response of a system with input output relation?
- What is meant by step response of an LTI system?
What is impulse response of LTI system?
The impulse response for an LTI system is the output, y ( t ) y(t) y(t), when the input is the unit impulse signal, σ ( t ) \sigma(t) σ(t). In other words, when x ( t ) = σ ( t ) , h ( t ) = y ( t ) .
What are the conditions for a system to be LTI system?
Also, the causality condition of an LTI system reduces to h(t) = 0 ∀t < 0 for the continuous time case and h(n) = 0 ∈n ≤ 0 for the discrete time case. Similarly, the strictly causality condition of an LTI system reduces to h(t) = 0 ∀t ≤ 0 for the continuous time case and h(n) = 0 ∀n ≤ 0 for the discrete time case.
What is the impulse response of a system with input output relation?
The function h[n] is called the impulse response of the system. It is the output (response) of the system when the input is a delta function (impulse).
What is meant by step response of an LTI system?
The step response of a discrete – LTI system is the convolution of the unit step with the impulse response i.e. s(n) = u(n) * h(n) s(n) = Step Response. It is the response of the LTI system to a step input u(n).
