We have studied six methods for approximating an analog filter by an IIR digital filter. Impulse Invariant, Step Invariant, Finite Difference, Matched-z, Direct Substitution and Bilinear
(a) Which method(s) can be done without using any time-domain functions in the process?
(b) Which method(s) squeeze(s) the entire continuous-time frequency from zero to infinity into the discrete-time radian-frequency range zero to ?.
(c) Which two methods are almost the same, differing only by a time-domain delay?
(d) Which method can design an unstable digital filter while trying to approximate a stable analog filter and, if constrained to only stable designs, restricts the flexibility of the design to only certain types of filters?
(a) Which method(s) can be done without using any time-domain functions in the process?
Finite Difference, Matched-z, Direct Substitution and Bilinear
(b) Which method(s) squeeze(s) the entire continuous-time frequency from zero to infinity into the discrete-time radian-frequency range zero to .
Bilinear
(c) Which two methods are almost the same, differing only by a time-domain delay?
Matched-z, Direct Substitution
(d) Which method can design an unstable digital filter while trying to approximate a stable analog filter and, if constrained to only stable designs, restricts the flexibility of the design to only certain types of filters?
Finite Difference
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