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WOLFRAM|DEMONSTRATIONS PROJECT

Digital IIR Filter Design Showing Poles and Zeros

​
recursive coefficients
a
1
0
a
2
0
a
3
0
a
4
0
a
5
0
feed-forward coefficients
b
0
1
b
1
0
b
2
0
b
3
0
b
4
0
b
5
0
IR length
20
Fs (Khz)
44.1
poles and zeros
magnitude of transfer function
impulse response
phase of transfer function
This Demonstration visualizes properties of a general fifth-order digital infinite impulse response (IIR) filter specified by the following expansion:
y(n)=
b
0
x(n)+
b
1
x(n-1)+…+
b
5
x(n-5)-
a
1
y(n-1)-…-
a
5
y(n-5)
.
Slide the controls to set the filter coefficients
a
1
to
a
5
and
b
1
to
b
5
.
The poles and zeros of the transfer function are shown in the plot, along with the unit circle (dashed line) and the magnitude of the transfer function plotted in polar coordinates.
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