0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0
5
10
15
X: 0.522
Y: 1.008
Damping Factor
ζ
Magnitude |H(f)| (dB)
|H(f)| vs
ζ
,
William Lu
A08341624
Anant Upreti
A08304589
Monday Section
Lab 2: DSL Low-pass Active Filter Design
Motivation
:
In this lab, we want to get familiarized with the Butterworth filter response and the Sallen-Key
topology by designing a low pass filter that meets certain specifications.
Prelab
1. Approximation
(a) Find the lowest possible f
0
and check if the filter meets the
spec at 32 kHz and 180 kHZ.
(b)
From the figure, we see that a 1dB peak
occurs when damping factor is 0.522 .
z=0.1:.001:0.70;
hsquared=1./(4*z.^2.*(1-z.^2));
hdb=10*log10(hsquared);
plot(z,hdb,
'LineWidth'
,3)
xlabel(
'Damping Factor \zeta'
)
ylabel(
'Magnitude |H(f)| (dB)'
)
title([
'|H(f)| vs \zeta, '
])
grid
on

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