Phase response of an LTI-system

1. What is response of an LTI system?
2. What is phase response of a system?
3. What is step response in LTI?
4. How do you find the phase response of a system?

What is response of an 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 is phase response of a system?

In signal processing, phase response is the relationship between the phase of a sinusoidal input and the output signal passing through any device that accepts input and produces an output signal, such as an amplifier or a filter.

What is step response in LTI?

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).

How do you find the phase response of a system?

To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator.