Finite-Difference Filter Design 16. Using the finite-difference method and all backward differences, design digital filters to approximate analog filters with these transfer functions. In each case choose a sampling frequency that is 10 times the magnitude of the distance of the farthest pole or zero from the origin of the s plane. Graphically compare the step responses of the digital and analog filters. s+60 (a) Ha(s) = (b) Ha(s) = s2 +3s + 2 s² +120s + 2000

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Finite-Difference Filter Design
16. Using the finite-difference method and all backward differences, design digital
filters to approximate analog filters with these transfer functions. In each case
choose a sampling frequency that is 10 times the magnitude of the distance of the
farthest pole or zero from the origin of the s plane. Graphically compare the step
responses of the digital and analog filters.
s2
s+ 60
(a) Ha(s)=
(b) H«(s) =
s2 + 3s +2
s2 +120s + 2000
Transcribed Image Text:Finite-Difference Filter Design 16. Using the finite-difference method and all backward differences, design digital filters to approximate analog filters with these transfer functions. In each case choose a sampling frequency that is 10 times the magnitude of the distance of the farthest pole or zero from the origin of the s plane. Graphically compare the step responses of the digital and analog filters. s2 s+ 60 (a) Ha(s)= (b) H«(s) = s2 + 3s +2 s2 +120s + 2000
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