Transfer function of a frequency shifting system

1. What is frequency transfer function?
2. What does the transfer function of a system describe for the system?
3. Is transfer function same as frequency response?

What is frequency transfer function?

Frequency-domain transfer functions describe the relationship between two signals as a function of s. For example, consider an integrator as a function of time. From Table 3-1, the integrator has an s-domain transfer function of 1/s.

What does the transfer function of a system describe for the system?

In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that theoretically models the system's output for each possible input. They are widely used in electronics and control systems.

Is transfer function 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.