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First-order filters

EE 2301st- order filters 1 First-order filtersThe general form for the transfer function of a first order filter is:T(s)=Go s+Zos+PoThere will always be a single pole at s = Po. The pole must be real (there is only one, so no complex conjugates are not possible) and it must be negative (for stability). There will always be a zero, which can be at s = 0, as s (zero at infinity), or somewhere else, s = Zo. (Note the zero can have a positive value.) There may be a gain factor, Go, which might be 1 or smaller (for a passive circuit with a voltage divider) or have a magnitude greater than 1 for an active circuit .

Low-pass filter circuits: non-inverting op amp Note: It might slightly disingenuous to treat this as if it were some new type of filter — we can readily see that it is a simple RC filter cascaded with a simple non-inverting amp. However, it is still a useful circuit. 9 + (V)= =& =&+ =5 = 5& V+ 5& 9R(V)= + 5 5 9 + (V) non-inverting amp ...

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