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TLC32046MFKB Datasheet(PDF) 29 Page - Texas Instruments

Part # TLC32046MFKB
Description  Wide-Band Analog Interface Circuit
PDF  56 Pages
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Manufacturer  TI [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI - Texas Instruments

TLC32046MFKB Datasheet(HTML) 29 Page - Texas Instruments

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Error = 20 log
sin
π f/fs
π f/fs
2–15
Table 2–5. (sin x)/x Roll-Off Error
fs (Hz)
f = 3000 Hz
f = 3000 Hz
(dB)
7200
– 2.64
8000
– 2.11
9600
– 1.44
14400
– 0.63
16000
– 0.50
19200
– 0.35
25000
– 0.21
The actual AIC (sin x)/x roll-off is slightly less than the figures in Table 2–5 because the AIC has less than
100% duty cycle hold interval.
2.27 Correction Filter
To externally compensate for the (sin x)/x roll-off of the AIC, a first-order correction filter can be implemented
as shown in Figure 2–8.
y(i + 1)
p1
+
+
(1 – p1) p2
u (i + 1)
Z – 1
X
X
Σ
Figure 2–8. First-Order Correction Filter
The difference equation for this correction filter is:
(4)
y(i + 1) = p2 ⋅ (1 – p1) ⋅ u(i + 1) + p1 ⋅ y(i)
where the constant p1 determines the pole locations.
The resulting squared magnitude transfer function is:
| H (f) | 2 =
(p2)2
V (1–p1)2
1 – 2
V p1 V cos (2p f/fs) + (p1)2
(5)
2.28 Correction Results
Table 2-6 shows the optimum p values and the corresponding correction results for 8000-Hz and 9600-Hz
sampling rates (see Figures 5 – 8, 5 –9, and 5 –10).



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