Transfer Function vs Frequency Response

The transfer function is a relationship between an output and an input of a linear system. The frequency response is how some characteristic of a linear system varies over frequency.

1. Is transfer function the same as frequency response?
2. What's the difference between transfer function and impulse response?
3. Is an FRF the same as a transfer function?
4. Is GSA a transfer function?

Is transfer function the same as frequency response?

In fact the frequency response of a system is simply its transfer function as evaluated by substituting s = jω. The frequency response H(jω) is in general is complex, with real and imaginary parts. This is often more useful and intuitive when expressed in polar coordinate.

What's the difference between transfer function and 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).

Is an FRF the same as a transfer function?

A frequency response function (FRF) is a transfer function, expressed in the frequency- domain. Frequency response functions are complex functions, with real and imaginary components. They may also be represented in terms of magnitude and phase.

Is GSA a transfer function?

A transfer function, G(s), relates an input, U(s), to an output, Y(s).