Howtosignalprocessing
- What is bilinear transformation in Matlab?
- Why is bilinear transformation method preferred?
- What is the relation between analog and digital frequency in bilinear transformation method?
- Which of the following rule is used in the bilinear transformation?
What is bilinear transformation in Matlab?
Transfer Function
For a system in transfer function form, bilinear converts an s-domain transfer function given by num and den to a discrete equivalent. Row vectors num and den specify the coefficients of the numerator and denominator, respectively, in descending powers of s.
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.
What is the relation between analog and digital frequency in bilinear transformation method?
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.
Which of the following rule is used in the bilinear transformation?
Explanation: Bilinear transformation uses trapezoidal rule for integrating a continuous time function.
