Existence of transfer function

1. What are the conditions for a transfer function?
2. How would you explain the transfer function?
3. How do you find the causality of a transfer function?

What are the conditions for a transfer function?

Necessary Conditions for Transfer Functions:

(a) The coefficients in the polynomials P(s) and Q(s) of N(s)=P(s)/Q(s) must be real. (b) The coefficients in Q(s) must be positive, but some of the coefficients in P(s) may be negative. 2. Complex or imaginary poles and zeros must occur in conjugate pairs.

How would you explain the transfer function?

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.

How do you find the causality of a transfer function?

When a system has more poles than finite zeros (i.e. the transfer function of the system is strictly proper) then the system is causal. If the transfer function of a system has relative degree equal to 0 then the system is causal and there is also instantaneous transfer between input and output.