Bilinear

Bilinear transform for a system in zero-pole-gain form

Bilinear transform for a system in zero-pole-gain form
  1. What is bilinear Z transform method?
  2. What is the bilinear transform formula?
  3. What is the relation between S and Z plane for bilinear transformation?

What is bilinear Z transform 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 bilinear transform formula?

The bilinear transform formulas are summarized in Figure 2 (with c = 2 / T c=2/T c=2/T).

What is the relation between S and Z plane for bilinear transformation?

The bilinear transform maps the left half of the complex s-plane to the interior of the unit circle in the z-plane. Thus, filters designed in the continuous-time domain that are stable are converted to filters in the discrete-time domain that preserve that stability.

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