Z Transform 2P/2Z Impulse, Step and Ramp Response
The transfer function of a system with 2 poles and 2 zeros
is shown below:-
The corresponding difference equation is :-
Applet below show the impulse response of a 2 pole, 2 zero
system and its dependence on the location of the poles
The unit circle is shown in magenta, the imaginary Z axis is in pink, the pole
location is shown as a green "x" and the zero location as
a green "o".
Parameters (0.97, 20.0, 0.0, 22.0, NA, NA, NA, 0, 0, 0.89)
The zeros are at the origin, the response is a discrete
Parameters (0.97, 20.0, 0.70, 22.0, NA, NA, NA, 0, 0, .5)
The zeros affect the initial behaviour.
Parameters (0.0, 20.0, 1.0, 22.0, NA, NA, NA, 0, 0, 1.0)
The poles are at the origin, the zeros are on the unit circle.
The impulse response is finite and consists of 3 values. Moving
the zeros to the left of the imaginary axis changes the 2nd
value in the impulse response.
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Copyright 2000 © Cuthbert A. Nyack.