Response

How to obtain impulse response from a plot of magnitude of frequency response?

How to obtain impulse response from a plot of magnitude of frequency response?
  1. How do you calculate impulse response?
  2. How do you find the magnitude of a frequency response?

How do you calculate impulse response?

Key Concept: The impulse response of a system is given by the transfer function. If the transfer function of a system is given by H(s), then the impulse response of a system is given by h(t) where h(t) is the inverse Laplace Transform of H(s).

How do you find the magnitude of a frequency response?

First we substitute s = jω into H(s) to obtain an expression of the frequency response. Note that the numerator and the denomator are both complex. To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately.

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