What is the transfer function of this system y(n) =2y(n-1)?

1. How do you find the transfer function of a system?
2. What is transfer function method?
3. What is the transfer function of Z?

How do you find the transfer function of a system?

To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by "s" in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s).

What is transfer function method?

A transfer function is a convenient way to represent a linear, time-invariant system in terms of its input-output relationship. It is obtained by applying a Laplace transform to the differential equations describing system dynamics, assuming zero initial conditions.

What is the transfer function of Z?

A LTI system is completely characterized by its impulse response h[n] or equivalently the Z-transform of the impulse response H(z) which is called the transfer function. Remember: x[n]∗h[n]Z⟶X(z)H(z).