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A
High-Pass Filter
is a circuit that only allows high-frequency signals to pass, and
attenuates or reduces signals whose frequencies are below its cut-off
frequency. It is also referred to as a 'low-cut filter' or,
when used in audio applications, as a 'bass-cut filter' or 'rumble
filter'. One
common application of high-pass filters is for driving tweeters
(speakers designed for high-pitch sounds), so as to block
low-frequency signals that can interfere with or even damage the
tweeter. The high-pass filter is the opposite of the
low-pass filter.
An ideal
high-pass filter
is one that completely blocks all frequencies below a given frequency, while allowing all those with
higher frequencies to pass unchanged. Of course, an ideal
high-pass filter doesn't exist, so in the real world, the
effectiveness and efficiency of a high-pass filter is described is
terms of the level of attenuation of signals with frequencies below
a cut-off frequency. The cut-off frequency of a high-pass
filter is the frequency at which the output voltage equals 70.7% of
the input voltage.
Figure 1
shows some common implementations of high-pass filters.
Note that in each of the high-pass filters shown
above, the inductors are in shunt with the input
while the capacitors are in series with the input.
This is because the reactance XL of an inductor
increases with the signal frequency, i.e., XL =
2πfL, while the reactance XC of a capacitor
decreases with the signal frequency, i.e., XC = 1 /
2πfC. Thus in these high-pass filters, the
capacitors resist the passing of an ac signal as the
frequency decreases, while the inductors shunt them
towards the ground as the frequency decreases.
Either way, the effect is to attenuate the
signal as frequency decreases.
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Figure 1. High-Pass Filters |
The following equations apply to the high-pass
filters in Figure 1 above:
1) L = Zo / 4πf
2) C = 1 / (4πf Zo)
3) Zo = sqrt(L/C)
4) f = 1 / (4π sqrt(LC))
where Zo is the line impedance and f is the cut-off
frequency of the filter.
See Also:
Op Amp High Pass Filter;
Low-Pass
Filter;
Reactance; ; More
Articles
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