Magnitude

Magnitude characteristic of H(s)

Magnitude characteristic of H(s)
  1. How do you find the magnitude of a frequency response?
  2. What is magnitude and phase response?
  3. What is magnitude response of a filter?

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.

What is magnitude and phase response?

The minimal-phase response can be calculated from the amplitude response by using the Hilbert transform. The figure above shows the magnitude response of the complex transfer function between loudspeaker terminals and sound pressure at a point on axis in 1 m distance measured by TRF module using a shaped stimulus.

What is magnitude response of a filter?

The magnitude response of filters can be characterized in terms of the frequency bands the filter will pass or reject. In Fig. 4.9 the ideal magnitude responses of the four most frequently used filter types are illustrated as a function of ω in radians per second.

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