Magnitude

Figuring magnitude and phase response

Figuring magnitude and phase response
  1. How do you find the magnitude and phase response?
  2. How to calculate the magnitude and phase of a transfer function?
  3. What is magnitude and phase response?
  4. How do you find the magnitude and phase response in Matlab?

How do you find the magnitude and phase response?

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

How to calculate the magnitude and phase of a transfer function?

To find the magnitude of the output, simply multiply the magnitude of the input (A) by the magnitude of the transfer function (M). The phase of the output is sum of the input phase (φ) and the phase of the transfer function (θ).

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.

How do you find the magnitude and phase response in Matlab?

You can also click the Magnitude and Phase Response button on the toolbar or select Analysis > Magnitude and Phase Response to display the plot. It is difficult to distinguish the 360° jumps (an artifact of the arctangent function inside angle ) from the 180° jumps that signify zeros in the frequency response.

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