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TLC32044CFN Datasheet(PDF) 29 Page - Texas Instruments

Part No. TLC32044CFN
Description  VOICE-BAND ANALOG INTERFACE CIRCUITS
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Maker  TI1 [Texas Instruments]
Homepage  http://www.ti.com
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TLC32044CFN Datasheet(HTML) 29 Page - Texas Instruments

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sin
π f/fs
π f/fs
TLC32044C, TLC32044E, TLC32044I, TLC32044M, TLC32045C, TLC32045I
VOICE-BAND ANALOG INTERFACE CIRCUITS
SLAS017F − MARCH 1988 − REVISED MAY 1995
29
POST OFFICE BOX 655303
DALLAS, TEXAS 75265
(sin x) / x roll-off for a zero-order hold function
The (sin x) / x roll-off for the AIC DAC zero-order hold function at a band-edge frequency of 3000 Hz for the
various sampling rates is shown in the table below.
Table 4.
(sin x) / x Roll-Off
20 log
fs (Hz)
20 log
(f = 3000 Hz)
fs (Hz)
(f = 3000 Hz)
(dB)
s
(f = 3000 Hz)
(dB)
7200
− 2.64
8000
− 2.11
9600
− 1.44
14400
− 0.63
19200
− 0.35
The actual AIC (sin x)/ x roll-off will be slightly less than the above figures because the AIC has less than a 100%
duty cycle hold interval.
correction filter
To compensate for the (sin x)/ x roll-off of the AIC, a first-order correction filter (shown below) is recommended.
u(i + 1)
(1 − p1)P2
+
+
z − 1
y(i + 1)
p1
The difference equation for this correction filter is:
yi + 1 = p2(1 − p1) (ui + 1) + p1 yi
where the constant p1 determines the pole locations.
The resulting squared magnitude transfer function is:
p22 (1–p1)2
1 – 2p1 cos(2
p f fs) ) p12
|H(f)|2
+


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