參數(shù)資料
型號: AD9772EB
廠商: Analog Devices, Inc.
英文描述: 14-Bit, 150 MSPS TxDAC⑩ with 2x Interpolation Filter
中文描述: 14位,150 MSPS的TxDAC系列⑩2倍插值濾波器
文件頁數(shù): 12/30頁
文件大?。?/td> 340K
代理商: AD9772EB
REV. 0
AD9772
–12–
Referring to Figure 23, the “new” 1st image associated with the
DAC’s higher data rate after interpolation is “pushed” out fur-
ther relative to the input signal, since it now occurs at 2
×
f
DATA
– f
FUNDAMENTAL
. The “old” first image associated with the lower
DAC data rate before interpolation is suppressed by the digital
filter. As a result, the transition band for the analog reconstruc-
tion filter is increased, thus reducing the complexity of the ana-
log filter. Furthermore, the sin(x)/x roll-off over the original
input data passband (i.e., dc to f
DATA
/2) is significantly reduced.
As previously mentioned, the 2
×
interpolation filter can be con-
verted into a high pass response, thus suppressing the “funda-
mental” while passing the “original” 1st image occurring at
f
DATA
– f
FUNDAMENTAL
. Figure 24 shows the time and frequency
representation for a high pass response of a discrete time sine
wave. This action can also be modeled as a “1/2 wave” digital
mixing process in which the impulse response of the low-pass
filter is digitally mixed with a square wave having a frequency of
2
3
INTERPOLATION FILTER
2
3
2
3
f
DATA
INPUT DATA LATCH
f
DATA
DAC
2
f
DATA
f
DATA
DAC'S SIN (X)/X
RESPONSE
1
ST
IMAGE
SUPPRESSED
1
ST
IMAGE
2
f
DATA
f
DATA
f
FUNDAMENTAL
DIGITAL
FILTER
RESPONSE
NEW
1
ST
IMAGE
2
f
DATA
f
DATA
f
FUNDAMENTAL
FREQUENCY
DOMAIN
1/2
f
DATA
1/
f
DATA
TIME
DOMAIN
Figure 23. Time and Frequency Domain Example of Low-Pass 2
×
Digital Interpolation Filter
2
3
INTERPOLATION FILTER
2
3
2
3
f
DATA
INPUT DATA LATCH
f
DATA
DAC
2
f
DATA
f
DATA
DAC'S SIN (X)/X
RESPONSE
1
ST
IMAGE
SUPPRESSED
FUNDAMENTAL
2
f
DATA
f
DATA
DIGITAL
FILTER
RESPONSE
UPPER AND
LOWER
IMAGE
2
f
DATA
f
DATA
f
FUNDAMENTAL
FREQUENCY
DOMAIN
1
/
2
f
DATA
1/
f
DATA
TIME
DOMAIN
Figure 24. Time and Frequency Domain Example of High-Pass 2
×
Digital Interpolation Filter
exactly f
DATA
/2. Since the even coefficients have a zero value
(refer to Table I), this process simplifies into inverting the cen-
ter coefficient of the low-pass filter (i.e., invert H(18)). Note,
this also corresponds into inverting the peak of the impulse
response shown in Figure 2a. The resulting high pass frequency
response becomes the frequency inverted mirror image of the
low-pass filter response shown in Figure 2b.
It is worth noting that the “new” 1st image now occurs at
f
DATA
+ f
FUNDAMENTAL
. A reduced transition region of 2
×
f
FUNDAMENTAL
exists for image selection, thus mandating that
the f
FUNDAMENTAL
be placed sufficiently high for practical filter-
ing purposes in direct IF applications. Also, the “l(fā)ower sideband
images” occurring at f
DATA
– f
FUNDAMENTAL
and its multiples
(i.e., N
×
f
DATA
– f
FUNDAMENTAL
) experience a frequency inver-
sion while the “upper sideband images” occurring at f
DATA
+
f
FUNDAMENTAL
and its multiples (i.e., N
×
f
DATA
+ f
FUNDAMENTAL
)
do not.
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