Sinusoidal

Eigenfunction property for LTI sinusoidal and the sinusoidal steady-state response

Eigenfunction property for LTI sinusoidal and the sinusoidal steady-state response
  1. What is the eigenfunction property of LTI systems?
  2. What is sinusoidal steady state response?
  3. What is Eigenfunction in signals?
  4. How do you find the sinusoidal transfer function?

What is the eigenfunction property of LTI systems?

According to the eigenfunction property of discrete-time LTI systems, the steady-state response of a discrete-time LTI system to a sinusoidal input is also a sinusoid of the same frequency as that of the input, but with magnitude and phase affected by the response of the system at the frequency of the input.

What is sinusoidal steady state response?

Phasors may be used to analyze the behavior of electrical and mechanical systems that have reached a kind of equilibrium called sinusoidal steady state. In the sinusoidal steady state, every voltage and current (or force and velocity) in a system is sinusoidal with angular frequency ω.

What is Eigenfunction in signals?

In the study of signals and systems, an eigenfunction of a system is a signal f(t) that, when input into the system, produces a response y(t) = λf(t), where λ is a complex scalar eigenvalue.

How do you find the sinusoidal transfer function?

H(jω) is called the sinusoidal transfer function. css = X|H(jω)|sin(ωt + Φ), where |H(jω)| is the magnitude of H(jω) and Φ = H(jω) is the argument of H(jω).

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