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Signals and Systems by Smarajit Ghosh

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6.17 INVERSE z-TRANSFORM

We have already studied z-transform as well as its properties. It is true that we need to transfer the signal to z-domain and after that we should get it back in time domain. Using inverse z-transform we can convert the signal from z-domain to time domain. To get inverse z-transform, the following three methods are used:

  • Contour integration
  • Partial fraction expansion
  • Power series expansion

The contour integration is the basic method to get the inverse z-transform. The inversion formula based on contour integration is image which is based on Cauchy residue theorem.

The z-transforms that we use are almost rational. The partial ...

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