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Signals and Systems by Smarajit Ghosh

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12.13 DESIGN OF AN IIR FILTER

We know that there are two types of digital filters i.e., FIR and IIR. The design procedures of IIR filter are the extensions of design procedures developed for analog filters. To replace the existing analog filters, the IIR filters are generally used.

The following approximations are carried out for deriving the discrete-time transfer function HD(z) of IIR digital filters from continuous-time transfer function HA(s) analog filters:

  • Impulse Response Invariance Method
  • Bilinear Transformation Method

The following are the realizability constraints on Transfer function HD(z) :

  • It should be a rational function of z with real co-efficient.
  • Poles of HD(z) should lie inside the unit circle.
  • The degree of the numerator ...

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