Steady-state

Steady state value of a complex convolution

Steady state value of a complex convolution
  1. What is the steady-state value of the response?
  2. What is the steady-state output?
  3. What is steady-state response in DSP?
  4. What is steady-state frequency response?

What is the steady-state value of the response?

The steady-state value of the unit step response of the system is called its DC gain. It is also the ratio of system output and input signals when transients die out. DC gain=y(∞)=limt→∞y(t)for u(t)=1(t). therefore by definition, DC gain=y(∞)=1/2.

What is the steady-state output?

The steady-state output has the same frequency as the input and can be obtained by multiply- ing the input r(t) = X sin(ωt) by |H(jω)| and shifting the phase angle by H(jω). The magnitude |H(jω)| and the angle H(jω) for all ω constitute the system frequency re- sponse.

What is steady-state response in DSP?

The response of the filter after the transient response, provided the filter is linear and time-invariant, is called the steady-state response, and it consists of a pure sinewave at the same frequency as the input sinewave, but with amplitude and phase determined by the filter's frequency response at that frequency.

What is steady-state frequency response?

Steady state frequency response is a major design approach in control theory, and is normally used to obtain reasonable response to commands up to a chosen or obtainable bandwidth.

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