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Signals and Systems by Smarajit Ghosh

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12.9 REALIZATION PROCEDURE FOR DIGITAL FILTER

Although digital filters can be decided in different ways but the relationship between the input and output decides the realization of digital filters. There are three broad categories for realization procedures:

  • recursive realization
  • non-recursive realization
  • FFT realization

12.9.1 Recursive Realization

If the present output of the digital filter is dependent on both the past outputs as well as present and past inputs, this realization procedure of digital filter is known as recursive realization and it needs the feedback of output. Figure 12.33 shows the recursive realization of digital filters. The system function H(z) is given by

 

 

 

Fig. 12.33 Block diagram of a recursively realized digital ...

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