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LMF100CIWM Datasheet(PDF) 9 Page - National Semiconductor (TI)

[Old version datasheet] Texas Instruments acquired National semiconductor.
Part # LMF100CIWM
Description  High Performance Dual Switched Capacitor Filter
Download  28 Pages
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Manufacturer  NSC [National Semiconductor (TI)]
Direct Link  http://www.national.com
Logo NSC - National Semiconductor (TI)

LMF100CIWM Datasheet(HTML) 9 Page - National Semiconductor (TI)

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1.0 Definitions of Terms
f
CLK: the frequency of the external clock signal applied to pin
10 or 11.
f
0: center frequency of the second order function complex
pole pair. f
0 is measured at the bandpass outputs of the
LMF100, and is the frequency of maximum bandpass gain.
(
Figure 1).
f
notch: the frequency of minimum (ideally zero) gain at the
notch outputs.
f
z: the center frequency of the second order complex zero
pair, if any. If f
z is different from f0 and if Qz is high, it can be
observed as the frequency of a notch at the allpass output.
(
Figure 13).
Q: “quality factor” of the 2nd order filter. Q is measured at the
bandpass outputs of the LMF100 and is equal to f
0 divided
by the −3 dB bandwidth of the 2nd order bandpass filter (
Fig-
ure 1). The value of Q determines the shape of the 2nd order
filter responses as shown in
Figure 6.
Q
z: the quality factor of the second order complex zero pair,
if any. Q
Z is related to the allpass characteristic, which is
written:
where Q
Z = Q for an all-pass response.
H
OBP: the gain (in V/V) of the bandpass output at f = f0.
H
OLP: the gain (in V/V) of the lowpass output as f → 0Hz
(
Figure 2).
H
OHP: the gain (in V/V) of the highpass output as f → fCLK/2
(
Figure 3).
H
ON: the gain (in V/V) of the notch output as f → 0 Hz and as
f → f
CLK/2, when the notch filter has equal gain above and
below
the
center
frequency
(
Figure
4).
When
the
low-frequency gain differs from the high-frequency gain, as
in modes 2 and 3a (
Figure 10 and Figure 12), the two quan-
tities below are used in place of H
ON.
H
ON1: the gain (in V/V) of the notch output as f → 0 Hz.
H
ON2: the gain (in V/V) of the notch output as f → fCLK/2.
DS005645-19
(a)
DS005645-20
(b)
FIGURE 1. 2nd-Order Bandpass Response
www.national.com
9


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