Chapter: Digital Signal Processing - IIR Filter Design

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Conversion of Analog Filter into Digital Filter

The unit sample response of the digital filter is obtained by uniform sampling of ha(t). h(n) = ha(nT)

CONVERSION OF ANALOG FILTER INTO DIGITAL FILTER

 

Let the system function of analog filter is n

 

Ha(s)= ΣK+1 Ck / s-pk (1) k=1

 

 

where pk are the poles of the analog filter and ck are the coefficients of partial fraction expansion. The impulse response of the analog filter ha(t) is obtained by inverse Laplace transform and given as


The unit sample response of the digital filter is obtained by uniform sampling of ha(t). h(n) = ha(nT)

n=0,1,2. ………….


System function of digital filter H(z) is obtained by Z transform of h(n).


Using the standard relation and comparing equation (1) and (4) system function of digital filter is given as


 

STANDARD RELATIONS IN IIR DESIGN


 

EXAMPLES - IMPULSE INVARIANCE METHOD



 

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