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<H2><A ID="SECTION001213000000000000000"></A>
<A ID="sect8.equalizing"></A>
<BR>
Equalizing filters
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<P>
In some applications, such as
<A ID="10107"></A><I>equalization</I>,
the goal isn't to pass signals of certain frequencies while stopping others
altogether, but to make controllable adjustments, boosting or attenuating
a signal, over a frequency range, by a desired gain. Two filter types
are useful for this. First, a
<A ID="10109"></A><A ID="10110"></A><I>shelving filter</I>
(Figure <A HREF="#fig08.05">8.5</A>) is used for selectively boosting or reducing either the
low or high end of the frequency range. Below a selectable crossover frequency,
the filter tends toward a low-frequency gain, and above it it tends toward a
different, high-frequency one. The crossover frequency, low-frequency gain,
and high-frequency gain can all be adjusted independently.
<P>
<DIV ALIGN="CENTER"><A ID="fig08.05"></A><A ID="10115"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8.5:</STRONG>
A shelving filter, showing low and high frequency gain, and
crossover frequency.</CAPTION>
<TR><TD><IMG
WIDTH="312" HEIGHT="211" BORDER="0"
SRC="img858.png"
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<P>
Second, a
<A ID="10118"></A><A ID="10119"></A><I>peaking filter</I>
(Figure <A HREF="#fig08.06">8.6</A>) is capable of boosting or attenuating signals within
a range of frequencies. The center frequency and bandwidth (which together
control the range of frequencies affected), and the in-band and out-of-band
gains are separately adjustible.
<P>
<DIV ALIGN="CENTER"><A ID="fig08.06"></A><A ID="10124"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8.6:</STRONG>
A peaking filter, with controllable center frequency, bandwidth,
and in-band and out-of-band gains.</CAPTION>
<TR><TD><IMG
WIDTH="290" HEIGHT="243" BORDER="0"
SRC="img859.png"
ALT="\begin{figure}\psfig{file=figs/fig08.06.ps}\end{figure}"></TD></TR>
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<P>
Parametric equalizers often employ two shelving filters (one each to adjust
the low and high ends of the spectrum) and two or three peaking filters to
adjust bands in between.
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<ADDRESS>
Miller Puckette
2006-12-30
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