Howtosignalprocessing
- What is the magnitude of a transfer function?
- How to calculate the magnitude and phase of a transfer function?
- How do you find the amplitude of a transfer function?
What is the magnitude of a transfer function?
The magnitude of the transfer function is proportional to the product of the geometric distances on the s-plane from each zero to the point s divided by the product of the distances from each pole to the point.
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).
How do you find the amplitude of a transfer function?
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.
