Tustin transformation example

1. What is the formula for Tustin transformation?
2. What is the Tustin approximation?
3. What is billionaire transformation?
4. What is bilateral transformation?

What is the formula for Tustin transformation?

For example, applying the Tustin transform at frequency σ0 = 1 to H(z) = 1/z yields G(s) = (1 − s)/(1 + s).

What is the Tustin approximation?

Absfract-The Tustin approximation is a simple way for determina- tion of a discrete-time representation of a continuous-time control system and is sufficiently precise, if a sampling interval is chosen properly.

What is billionaire transformation?

The bilinear transform is a special case of a conformal mapping (namely, a Möbius transformation), often used to convert a transfer function of a linear, time-invariant (LTI) filter in the continuous-time domain (often called an analog filter) to a transfer function of a linear, shift-invariant filter in the discrete- ...

What is bilateral transformation?

Definition: The bilinear transformation is a mathematical mapping of variables. In digital filtering, it is a standard method of mapping the s or analog plane into the z or digital plane. It transforms analog filters, designed using classical filter design techniques, into their discrete equivalents.