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| 型號： | AD9786BSVRL |
| 廠商： | ANALOG DEVICES INC |
| 元件分類： | DAC |
| 英文描述： | 16-Bit, 200 MSPS/500 MSPS TxDAC+ with 2】/4】/8】 Interpolation and Signal Processing |
| 中文描述： | PARALLEL, WORD INPUT LOADING, 16-BIT DAC, PQFP80 |
| 封裝： | PLASTIC, MS-026-ADD, TQFP-80 |
| 文件頁數(shù)： | 41/60頁 |
| 文件大小： | 1497K |
| 代理商： | AD9786BSVRL |
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AD9786
In contrast, Figure 73 shows the same waveform with the
Hilbert transform applied. Clearly, the aliased interpolation
images are not present.
Rev. 0 | Page 41 of 60
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 73. Effects of Hilbert Transform
If the output of the AD9786 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 AD9786 is implemented as a
19-coefficient FIR. The coefficients are given in Table 36.
Table 36.
Coefficient
H(1)
H(2)
H(3)
H(4)
H(5)
H(6)
H(7)
H(8)
H(9)
H(10)
H(11)
H(12)
H(13)
H(14)
H(15)
H(16)
H(17)
H(18)
H(19)
Integer Value
–6
0
–17
0
–40
0
–91
0
–318
0
318
0
91
0
40
0
17
0
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 74 and Figure 75 show the gain of the Hilbert transform
versus frequency. Gain is essentially flat, with a pass-band ripple
of 0.1 dB over the frequency range 0.07 × Sample Rate to
0.43 × Sample Rate.
Figure 76 shows the phase response of the Hilbert transform
implemented in the AD9786. 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
DACCLK 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 AD9786 digital signal
path opposite to the Hilbert transform. This delay block is
noted as t on the block diagram on the first page of this 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 74. 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 75. Hilbert Transform Ripple
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