Bilinear Transformation Comparison

1. Why is bilinear transformation method preferred?
2. Why bilinear transformation method superior to impulse invariance method?
3. What is bilinear transformation method?
4. What is the kind of relationship between Omega and W in bilinear transformation?

Why is bilinear transformation method preferred?

Advantages of bi-linear transformation method :

There is no aliasing effect. Stable analog filter is transformed into the stable digital filter. There is no restriction one type of filter that can be transformed. There is one to one transformation from the s-domain to the Z- domain.

Why bilinear transformation method superior to impulse invariance method?

The bilinear transform is an alternative to impulse invariance that uses a different mapping that maps the continuous-time system's frequency response, out to infinite frequency, into the range of frequencies up to the Nyquist frequency in the discrete-time case, as opposed to mapping frequencies linearly with circular ...

What is bilinear transformation method?

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.

What is the kind of relationship between Omega and W in bilinear transformation?

Explanation: The analog frequencies Ω=±∞ are mapped to digital frequencies ω=±π. The frequency mapping is not aliased; that is, the relationship between Ω and ω is one-to-one. As a consequence of this, there are no major restrictions on the use of bilinear transformation.