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| 型號： | AD9782 |
| 廠商： | Analog Devices, Inc. |
| 英文描述： | 12-Bit, 200 MSPS/500 MSPS TxDAC+ with 2 x /4 x /8 x Interpolation and Signal Processing |
| 中文描述： | 12位，200 MSPS/500 MSPS的TxDAC系列與2 × / 4 × / 8 ×插值與信號處理 |
| 文件頁數(shù)： | 36/52頁 |
| 文件大?。?/td> | 1619K |
| 代理商： | AD9782 |
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AD9782
Preliminary Technical Data
Figure 60 shows this effect at the DAC output for a mirror
asymmetic signal about dc produced by complex modulation
without a Hilbert transform. The signal bandwidth was nar-
rowed to show the aliased negative frequency interpolation
images.
Rev. PrC | Page 36 of 52
In contrast, Figure 61 shows the same waveform with the
Hilbert transform applied. Clearly, the aliased interpolation
images are not present.
0
0.5
–0.5
–0.4
–0.3
–0.2
–0.1
0
0.1
0.2
0.3
0.4
d
–150
0
–50
–100
Figure 61. Effects of Hilbert Transform
If the output of the AD9782 is to be used with a quadrature
modulator, negative frequency images are cancelled without the
need of a Hilbert transform.
HILBERT TRANSFORM IMPLEMENTATION
The Hilbert transform on the AD9782 is implemented as a 19-
coefficient FIR. The coefficients are given in Table 35
Table 35.
Coefficient
Integer Value
H(1)
–6
H(2)
0
H(3)
–17
H(4)
0
H(5)
–40
H(6)
0
H(7)
–91
H(8)
0
H(9)
–318
H(10)
0
H(11)
318
H(12)
0
H(13)
91
H(14)
0
H(15)
40
H(16)
0
H(17)
17
H(18)
0
H(19)
6
The transfer function of an ideal Hilbert transform has a +90°
phase shift for negative frequencies, and a –90° phase shift for
positive frequencies. Because of the discontinuities that occur at
0 Hz and at 0.5 × Sample Rate, any real implementation of the
Hilbert Transform trades off bandwidth versus ripple.
Figure 62 and Figure 63 show the gain of the Hilbert transform
versus frequency. Gain is essentially flat, with a pass-band ripple
of 0.1dB over the frequency range 0.07 × Sample Rate to
0.43 × Sample Rate.
Figure 64 shows the phase response of the Hilbert transform
implemented in the AD9782. The phase response for positive
frequencies begins at –90° at 0 Hz, followed by a linear phase
response (pure time delay) equal to nine filter taps (nine clock
cycles). For negative frequencies, the phase response at 0 Hz is
+90°, again followed by a linear phase delay of nine filter taps.
To compensate for the unwanted 9-cycle delay, an equal delay of
nine taps is used in the AD9782 digital signal path opposite to
the Hilbert transform. This delay block is noted as t on the data
sheet.
0
1000
100
200
300
400
500
600
700
800
900
–100
10
–20
–60
0
–40
–30
–70
–80
–90
–10
–50
Figure 62. Hilbert Transform Gain
0
1000
100
200
300
400
500
600
700
800
900
–1.0
1.0
0.4
–0.4
0.8
0
0.2
–0.6
–0.8
0.6
–0.2
Figure 63. Hilbert Transform Ripple
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